PAPER FILENAME NO. 1 DIMAGIO1 2 DIMAGIO2 4 TORSIONL 5 ERP3B1 6 PRTPLANE 7 ERP3B2 8 2COUPART 10 HILL4PAR 11 VIBFRUT1 12 HSIMON 13 TSENG 14 VIBFRUT2 15 NNM2DOF 16 HIORDAPX 17 VITO 18 TUTORIAL 19 PODGORSK 20 G_NADIG 21 GEO_STAB 22 ELASPHER 23 DIRECT 24 SHIMMY 25C LEAF_INT 26B GUARDCEL 27 TRACHEID 29C PHLOEM1 31 LAM 32 SUNLEAF 34 EVAP_MEN 36B LIMIMPAC 37 MNM_S 38B STROSHIN 39 SINCLAIR 40 DIFF_RES 41B EGGSHELL 42 LAM_PMAP 43 PHLOEM2 44 CO2ASSIM 45 STOM_DYN 46B CO2STOMA 47 HOLMES 48B WATERUSE 49B APPLELIM 51 HOPFSTOM 52 AVIS 53 C_HOLMES 55 TRUNKIMP 57 LAM_4TO1 58 2STRONG 59 CSTOMOSC 60 GRPLANTS_ 65 MOON 66 1-1_2-1 67B NF_CM 68B HOPFLIND 69B LAM_RB 70 WOODS 71B ELLENSON 72 STORTI 73 LC_INFTY 74 DETRMNCY 75 PARLANGE 76 LANCE 77C TAPESH 78 STOMWAVE 81C LEN 82 RAND-ARMBRUSTER 83 RELAXOSC 84 LAMPREY 85E ZAMM 87B SHLOGUCK 88 SUBHARM 89 BAU 90 SHAW 92 PERDOUBL 93 VISWAN 94 GUCKSHLO 95 GROSSMAN 96 GOLNAR 97B CORNEA 97D CORNEA2 98 VTC2 99 VTC 100 LI_MOON 101 SPINUP 102 NOOR 103 COMPROOF 104 DIS_SEP 105B PAIDOUS 106C HALL 108 MINGORI 109 BOLEY 110 VAKPART1 111 VAKPART2 112 PAKMOON 113 PAKVAK 114 BRIDGE 115C QUINBRDG 117B KINSEY 118 SHARON 119 UDINE 120B QUIN2OSC 121 PEND_RES 122 KINSEY2 123A NEWMAN2 123B NEWMAN 124 RACHEL 125 SCHETZ 126 PARA_PDE 127 BOOK_REVIEW 128 GLADMAN 130A ZOUNES0 130C ZOUNES 131B KERATOM 132C AHSUM 133B SWING 134B RANDVOL 135B MANDAR 136 CELT 137B WIRKUS 137C SWIRKUS 138 TIDALSAT 140 HABERYUS 141B DEEPAK 141C NNMNHC 142 HABERMAN 143 ERIKA 144 MASON 145A QDMATHU1 145B QDMATHU2 146 RESCAP 147 KICENIUK 148A NG 148B NG2 149A ASOK 149B SEN 150 RETOSC1 151 STUBASME 152 NGASME 153A DEEPASME 153B DEEPIJNLM 154A ZASME 154B ZOUNES2 155 NUWC 156 ZIJNLM 157 ROZHKOV 158 UDT01 159A BATH1 159B 48593 159C BATH2 160A SLOWPAS1 160B SLOWPAS2 161A 3MATH2_1 161B 3MATH2_2 162A COEXIST1 162B COEXIST2 163 STUBNA 164 LURIE 165 NIKLAS1 166A 48563 166B KAMAR 167A 48446 167B ALEX1 168 48516 169 NIKLAS2 170 SIAMREV 171 MAX 172 NLVIBE45_040129 173 JMEMS1 174A BARCILON 174B DETC2005-84016BARCILON 175A TINAQP 175B DETC2005-84015TINAQP 176A ENOC-QUINN-282 176B QUINN-STROG 177 DERCOLE-NIKLAS 178A RECKTENWALD1 178B DETC2005-84020GEOFF 179A DETC2005-84017KEVIN 179B KEVIN 180A DETC2005-84018MANOJ 180B DETC2007-MANOJ 180C MANOJ_ND 181 JMEMS2 182 NAZHA1 183 ANAEL1 184A ANAEL2 184B DETC2007-ANAEL 185 ANAEL3 186 JEFFWONG 187 MANOJ_JMEMS 188 RECKTENWALD2 189 MANOJ_CNSNS 190 RECKTENWALD3 191 NAZHA2 192 TINA-DELAY 193 LEE 194 BABR 195 SIMO1 196 IASS2008 197A DSC2008 197B IMECE2008 198 3RELAX 199 MEGHANCNSNS 200 NETWORKCNSNS 201 SLOWPAS3 202 HIBACNSNS 203A DETC2009-86197 203B HECKMAN_CNSNS 203C HECKMANENOC2011 204 ROCIO1 205A DETC2010 205B FRAC_MATHIEU 206 MEGHAN-DELAY 207 ROCIO2 208A HIBA_ND 208B HIBAENOC2011 209A ZEHNDER2011 209B BLOCHER1 210 RPS_CNSNS 211 DDE-CHAPTER3 212A DETC2011-47289 212B BLOCHER2 213 FRAC-VDP 214 RPS_JMES 215A PACAM 215B HIBA_ND2 216 HIBAIJNLM 217A ICSNDD 217B ESAIM 217C HECKMAN_JAND 218 NLVIBE53 219 HECKMAN_ND 220 IVANA1 221 RPS_JAM 222A EW-JAND 222B DETC2013-12046 223 BLOCHER3 224A DETC2013-12019 224B ROCIO-JAND 225 DETC2013-12070 226 BLOCHER4 227 KLUGER-MOON-RAND 228A IVANA2 228B LODZ 228C DSTA 228D ENOC2014 229 DETC2014-35404 230A DETC2014-35642 230B LAUREN-JAND 231A SEM-WESSON 231B EW-JAND2 231C IUTAM-EW 231D SEM-WESSON2 232A SEM-BERNSTEIN 232B SEM-BERNSTEIN2 233 EW-DGA 234 SHREYAS 235A LAUREN-MATT-ND 235B IUTAM-LL 236 EW-DR 237A LAUREN-MATT-IJNLM 237B CSNDD2016-RR 238 arXiv_1511.08536v1 239A CSNDD2016-simo 239B ICTAM16 239C arXiv_1601.01853v1 239D SIMO-JAND 239E UKRAINE 240 BERNSTEIN-JAND 241 LAUREN-MATT-IJNLM2 242A arXiv_1610.01972v1 242B ENOC2017_QUEUEING 242C QUEUEING1 243A arXiv_1610.07951v2 243B nano_letters 244 ENOC2017_MEMSOSC 245 ENOC2017_DELAYED_MATHIEU 246A arXiv: 1701.00201v1 246B ENOC2017_LCS 246C REMARKABLE 247A arXiv_1701.05443v1 247B QUEUEING2 248A arXiv_1705.03100v1 248B GLUZMAN 249 BROOKHAVEN 250 THREE-WAYS 251 BERNSTEIN-JAND2 252 abstract_infinite_v3.pdf 253A abstract-MEMS_v3.pdf 253B RR_ENOLIDES2018_v5.pdf 254 AMR.pdf FILENAME PAPER NO. 1-1_2-1 66 2COUPART 8 2STRONG 58 3MATH2_1 161A 3MATH2_2 161B 3RELAX 198 48446 167A 48516 168 48563 166A 48593 159B abstract_infinite_v3 252 abstract-MEMS_v3 253A AHSUM 132C ALEX1 167B AMR 254 ANAEL1 183 ANAEL2 184 ANAEL3 185 APPLELIM 49B arXiv_1511.08536v1 238 arXiv_1601.01853v1 239C arXiv_1610.01972v1 242A arXiv_1610.07951v2 243 arXiv_1701.00201v1 246A arXiv_1701.05443v1 247A arXiv_1705.03100v1 248A ASOK 149A AVIS 52 BABR 194 BARCILON 174 BATH1 159A BATH2 159C BAU 89 BERNSTEIN-JAND 240 BERNSTEIN-JAND2 251 BLOCHER1 209B BLOCHER2 212B BLOCHER3 223 BLOCHER4 226 BOLEY 109 BOOK_REVIEW 127 BRIDGE 114 BROOKHAVEN 249 C_HOLMES 53 CELT 136 COEXIST1 162A COEXIST2 162B COMPROOF 103 CORNEA 97B CORNEA2 97D CO2ASSIM 44 CO2STOMA 46B CSNDD2016-RR 237B CSNDD2016-simo 239A CSTOMOSC 59 DDE-CHAPTER3 211 DEEPAK 141B DEEPASME 153A DEEPIJNLM 153B DERCOLE-NIKLAS 177 DETC2005-84015TINAQP 175B DETC2005-84016BARCILON 174B DETC2005-84017KEVIN 179 DETC2005-84018MANOJ 180 DETC2005-84020GEOFF 178B DETC2007-ANAEL 184B DETC2007-MANOJ 180B DETC2009-86197 203A DETC2010 205A DETC2011-47289 212 DETC2013-12019 224A DETC2013-12046 222B DETC2013-12070 225 DETC2014-35404 229 DETC2014-35642 230A DETRMNCY 74 DIFF_RES 40 DIMAGIO1 1 DIMAGIO2 2 DIRECT 23 DIS_SEP 104 DSC2008 197 DSTA 228C EGGSHELL 41B ELASPHER 22 ELLENSON 71B ENOC-QUINN-282 176 ENOC2014 228D ENOC2017_DELAYED_MATHIEU 245 ENOC2017_LCS 246B ENOC2017_MEMSOSC 244 ENOC2017_QUEUEING 242B ERIKA 143 ERP3B1 5 ERP3B2 7 ESAIM 217B EVAP_MEN 34 EW-JAND 222A EW-JAND2 231B EW-DGA 233 EW-DR 236 FRAC_MATHIEU 205A FRAC_VDP 213 G_NADIG 20 GEO_STAB 21 GLADMAN 128 GLUZMAN 248B GOLNAR 96 GRPLANTS_ 60 GROSSMAN 95 GUARDCEL 26B GUCKSHLO 94 HABERMAN 142 HABERYUS 140 HALL 106C HECKMAN_CNSNS 203B HECKMAN_JAND 217C HECKMAN_ND 219 HECKMANENOC2011 203C HIBACNSNS 202 HIBAENOC2011 208B HIBAIJNLM 216 HIBA_ND 208 HIBA_ND2 215B HILL4PAR 10 HIORDAPX 16 HOLMES 47 HOPFLIND 68B HOPFSTOM 51 HSIMON 12 IASS2008 196 ICSNDD 217A ICTAM16 239B IMECE2008 197B IUTAM-EW 231C IUTAM-LL 235B IVANA1 220 IVANA2 228A JEFFWONG 186 JMEMS1 173 JMEMS2 181 KAMAR 166B KERATOM 131B KEVIN 179B KICENIUK 147 KINSEY 117B KINSEY2 122 KLUGER-MOON-RAND 227 LAMPREY 84 LAM 31 LAM_4TO1 57 LAM_PMAP 42 LAM_RB 69B LANCE 76 LAUREN-JAND 230B LAUREN-MATT-ND 235A LAUREN-MATT-IJNLM 237 LAUREN-MATT-IJNLM2 241 LC_INFTY 73 LEAF_INT 25C LEE 193 LEN 81C LI_MOON 100 LIMIMPAC 36B LODZ 228B LURIE 164 MANDAR 135B MANOJ_CNSNS 189 MANOJ_JMEMS 187 MANOJ_ND 180C MASON 144 MAX 171 MEGHANCNSNS 199 MEGHAN-DELAY 206 MINGORI 108 MNM_S 37 MOON 65 NANO_LETTERS 243B NAZHA1 182 NAZHA2 191 NEWMAN 123B NEWMAN2 123A NETWORKCNSNS 200 NF_CM 67B NG 148A NG2 148B NGASME 152 NIKLAS1 165 NLVIBE45_040129 172 NLVIBE53 218 NIKLAS2 169 NNM2DOF 15 NNMNHC 141C NOOR 102 NUWC 155 PACAM 215A PAIDOUS 105B PAKMOON 112 PAKVAK 113 PARA_PDE 126 PARLANGE 75 PEND_RES 121 PERDOUBL 92 PHLOEM1 29C PHLOEM2 43 PODGORSK 19 PRTPLANE 6 QDMATHU1 145A QDMATHU2 145B QUEUEING1 242C QUEUEING2 247B QUIN2OSC 120B QUINBRDG 115C QUINN-STROG 176B RACHEL 124 RAND-ARMBRUSTER 82 RANDVOL 134B RECKTENWALD1 178A RECKTENWALD2 188 RECKTENWALD3 190 RELAXOSC 83 REMARKABLE 246C RETOSC1 150 RESCAP 146 ROCIO1 204 ROCIO2 207 ROCIO-JAND 234B ROZHKOV 157 RPS_CNSNS 210 RPS_JAM 221 RPS_JMES 214 RR_ENOLIDES2018_v5 253B SCHETZ 125 SEM-BERNSTEIN 232A SEM-BERNSTEIN2 232B SEM-WESSON 231A SEM-WESSON2 231D SEN 149B SHARON 118 SHAW 90 SHIMMY 24 SHLOGUCK 87B SHREYAS 234 SIAMREV 170 SIMO1 195 SIMO-JAND 239D SINCLAIR 39 SLOWPAS1 160A SLOWPAS2 160B SLOWPAS3 201 SPINUP 101 STOM_DYN 45 STOMWAVE 78B STORTI 72 STROSHIN 38B STUBASME 151 STUNA 163 SUBHARM 88 SUNLEAF 32 SWING 133B SWIRKUS 137C TAPESH 77C THREE-WAYS 250 TIDALSAT 138 TINAQP 175 TINA_DELAY 192 TORSIONL 4 TRACHEID 27 TRUNKIMP 55 TSENG 13 TUTORIAL 18 UDINE 119 UDT01 158 UKRAINE 239E VAKPART1 110 VAKPART2 111 VIBFRUT1 11 VIBFRUT2 14 VISWAN 93 VITO 17 VTC 99 VTC2 98 WATERUSE 48B WIRKUS 137B WOODS 70 ZAMM 85E ZASME 154 ZEHNDER2011 209 ZIJNLM 156 ZOUNES 130C ZOUNES0 130A ZOUNES2 154B PUBLICATIONS OF R.H. RAND 1. Axisymmetric Vibrations of Prolate Spheroidal Shells F.DiMaggio, R.Rand J. Acoustical Soc. Am. 40:179-186 (1966) 2. Vibrations of Fluid-Filled Spherical and Spheroidal Shells R.Rand, F.DiMaggio J. Acoustical Soc. Am. 42:1278-1286 (1967) 3. The Stability of the Triangular Points in the Elliptic Restricted Problem of Three Bodies K.T.Alfriend, R.H.Rand AAS paper no.68-090, presented at AAS/AIAA Astrodynamics Specialist Conference (1968) 4. Torsional Vibrations of Elastic Prolate Spheroids R.H.Rand J. Acoustical Soc. Am. 44:749-751 (1968) 5. A Perturbation Solution for the Stability of the Triangular Points in the Elliptic Restricted Problem K.T.Alfriend, R.H.Rand J. Astronautical Sciences 15:105-109 (1968) 6. On the Stability of a Differential Equation with Application to the Vibrations of a Particle in the Plane R.H.Rand, S.F.Tseng J. Applied Mechanics 36:311-313 (1969) 7. Stability of the Triangular Points in the Elliptic Restricted Problem of Three Bodies K.T.Alfriend, R.H.Rand AIAA J. 7:1024-1028 (1969) 8. On the Stability of the Vibrations of Two Coupled Particles in the Plane R.H.Rand, S.F.Tseng J. Applied Mechanics 36:417-419 (1969) 9. On a Relation Between the Shape Factor and the Coefficient of Maximum Shear Stress in Beams R.H.Rand Bulletin Mech. Eng. Education 8:286 (1969) 10. On the Stability of Hill's Equation with Four Independent Parameters R.H.Rand J. Applied Mechanics 36:885-886 (1969) 11. Vibratory Fruit Harvesting: A Linear Theory of Fruit-Stem Dynamics J.R.Cooke, R.H.Rand J. Agricultural Eng. Res. 14:195-209 (1969) 12. On the Stability of a Differential Equation with Application to Parametrically Excited Systems R.H.Rand, H.Simon J. Applied Mechanics 37:218-220 (1970) 13. On the Stability of the Vibrations of a Particle in the Plane Restrained by Two Non-Identical Springs R.H.Rand, S.F.Tseng Int. J. Nonlinear Mechanics 5:1-9 (1970) 14. Vibratory Fruit Harvesting: A Nonlinear Theory of Fruit-Stem Dynamics R.H.Rand, J.R.Cooke J. Agricultural Eng. Res. 15:347-363 (1970) 15. Nonlinear Normal Modes in Two Degree of Freedom Systems R.H.Rand J. Applied Mechanics 38:561 (1971) 16. A Higher Order Approximation for Nonlinear Normal Modes in Two Degree of Freedom Systems R.H.Rand Int. J. Nonlinear Mechanics 6:545-547 (1971) 17. Nonlinear Vibrations of Two Degree of Freedom Systems with Repeated Linearized Natural Frequencies R.Rand, R.Vito J. Applied Mechanics 39:296-297 (1972) 18. A Mathematical Interpretation of Vibratory Fruit Harvesting: A Tutorial Paper J.R.Cooke, R.H.Rand ASAE paper no.72-567 presented at 1972 Winter meeting of ASAE 19. Geometrical Dynamics: A New Approach to Periodic Orbits Around L4 R.Rand, W.Podgorski Celestial Mechanics 6:416-420 (1972) 20. Nonlinear Normal Modes in Dynamical Systems with Non-Euclidean Metrics R.H.Rand, G.Nadig Proc. Fourth Canadian Congress Applied Mechanics, pp.519-520 (1973) 21. The Geometrical Stability of Nonlinear Normal Modes in Two Degree of Freedom Systems R.H.Rand Int. J. Nonlinear Mechanics 8:161-168 (1973) 22. A Mathematical Study of Resonance in Intact Fruits and Vegetables Using a 3-Media Elastic Sphere Model J.R.Cooke, R.H.Rand J. Agricultural Eng. Res. 18:141-157 (1973) 23. A Direct Method for Nonlinear Normal Modes R.H.Rand Int. J. Nonlinear Mechanics 9:363-368 (1974) 24. The Wheel Shimmy Problem: Its Relationship to Wheel and Road Irregularities W.A.Podgorski, A.I.Krauter, R.H.Rand Vehicle System Dynamics 4:9-41 (1975) 25. Gaseous Diffusion in the Leaf Interior R.H.Rand A. ASAE paper no.76-5528 presented at 1976 Winter meeting of ASAE B. 1977 Biomechanics Symposium, ASME Applied Mechanics Division Vol.23:51-53 C. Trans. ASAE 2O:701-704 (1977) 26. A Finite Element Shell Analysis of Guard Cell Deformations J.R.Cooke, J.G.DeBaerdemaeker, R.H.Rand, H.A.Mang A. ASAE paper no.76-5526 presented at 1976 Winter meeting of ASAE B. Trans. ASAE 19:1107-1121 (1976) 27. A Hydrodynamical Model of Bordered Pits in Conifer Tracheids D.C.Chapman, R.H.Rand, J.R.Cooke J. Theoretical Biology 67:11-24 (1977) 28. Visual Perception, Invariants, Neural Nets H.D.Block, D.C.Lewis, R.H.Rand abstract in 1977 IEEE Int. Symp. Information Theory, p.85 29. Fluid Dynamics of Phloem Flow: An Axisymmetric Model R.H.Rand, J.R.Cooke A. ASAE paper no.77-5512 presented at 1977 Winter meeting of ASAE B. Proc. First Mid-Atlantic Conf. on Bio-Fluid Mechanics, VPI, pp.53-62 (1978) C. Trans. ASAE 21:898-900, 906 (1978) 30. A Nonlinear Finite Element Analysis of Stomatal Guard Cells J.R.Cooke, R.H.Rand, H.A.Mang, J.G.DeBaerdemaeker ASAE paper no.77-5511 presented at 1977 Winter meeting of ASAE 31. The Stability of Bifurcating Periodic Solutions in a Two Degree of Freedom Nonlinear System L.A.Month, R.H.Rand J. Applied Mechanics 44:782-784 (1977) 32. A Theoretical Analysis of CO2 Absorption in Sun Versus Shade Leaves R.H.Rand J. Biomechanical Eng. 100:20-24 (1978) 33. Nonlinear Normal Modes Generically Occur in Pairs in a Class of Two Degree of Freedom Systems T.L.Johnson, R.H.Rand in Abstracts of Eighth U.S. National Congress of Applied Mechanics, UCLA (1978) 34. The Dynamics of an Evaporating Meniscus R.H.Rand Acta Mechanica 29:135-146 (1978) 35. Mathematical Analysis of Intercellular Water Flow in Plant Material R.L.Stroshine, R.H.Rand, J.R.Cooke abstract in 1979 Workshop on Crop Simulation, Purdue Univ. pp.21-22 36. Limb Impulse Harvesting, Part I, Finite Element Analysis S.K.Upadhyaya, J.R.Cooke, R.H.Rand A. ASAE paper no.79-1054 presented at 1979 Summer meeting of ASAE B. Trans. ASAE 24:856-863 (1981) 37. On the Existence and Bifurcation of Minimal Normal Modes T.L.Johnson, R.H.Rand Int. J. Nonlinear Mechanics 14:1-12 (1979) 38. Mathematical Analysis of Pressure Chamber Efflux Curves R.L.Stroshine, R.H.Rand, J.R.Cooke, J.M.Cutler, J.F.Chabot A. ASAE paper no.79-4585 presented at 1979 Winter meeting of ASAE B. Plant, Cell and Environment 8:7-18 (1985) 39. Mathematical Analysis of Cell CO2 Exchange Under High CO2 Concentrations T.R.Sinclair, R.H.Rand Photosynthetica 13:239-244 (1979) 40. Diffusion Resistance Models J.R.Cooke, R.H.Rand Chapter 5 in Predicting Photosynthesis for Ecosystem Models, Vol.I, eds. J.D.Hesketh, J.W.Jones, CRC Press, pp.93-121 (1980) 41. A Fluid-filled Spherical Shell Model of the Thermoelastic Behavior of Avian Eggs S.K.Upadhyaya, J.R.Cooke, R.H.Rand A. ASAE paper no.80-3046 presented at 1980 Summer meeting of ASAE B. Journal of Ag. Eng. Research 32:95-109 (1985) 42. An Application of the Poincare Map to the Stability of Nonlinear Normal Modes L.A.Month, R.H.Rand J. Applied Mechanics 47:645-651 (1980) 43. Fluid Dynamics of Phloem Flow: Part II, An Approximate Formula R.H.Rand, S.K.Upadhyaya, J.R.Cooke Trans. ASAE 23:581-585 (1980) 44. A Comprehensive Model for CO2 Assimilation in Leaves R.H.Rand, J.R.Cooke Trans. ASAE 23:601-608 (1980) 45. Stomatal Dynamics S.K.Upadhyaya, R.H.Rand, J.R.Cooke in 1980 Advances in Bioengineering, ed. V.C.Mow, ASME, pp.185-188 46. A Mathematical Model of the Effects of CO2 on Stomatal Dynamics S.K.Upadhyaya, R.H.Rand, J.R.Cooke A. ASAE paper no. 80-5517 presented at 1980 Winter meeting of ASAE B. J. Theoretical Biology 101:415-440 (1983) 47. Bifurcation of Periodic Motions in Two Weakly Coupled van der Pol Oscillators R.H.Rand, P.J.Holmes Int. J. Nonlinear Mechanics 15:387-399 (1980) 48. The Role of Stomatal Oscillations on Transpiration, Assimilation and Water-Use Efficiency of Plants S.K.Upadhyaya, R.H.Rand, J.R.Cooke A. ASAE paper no.81-4017 presented at 1981 Summer meeting of ASAE B. Ecological Modeling 41:27-40 (1988) 49. Variation in Young's Modulus Along Apple Limbs S.K.Upadhyaya, J.R.Cooke, R.H.Rand A. ASAE paper no.81-3038 presented at 1981 Summer meeting of ASAE B. Trans. ASAE 30:1501-1505 (1987) 50. A Finite Element Analysis of the Mechanical and Thermal Strength of Avian Eggs S.K.Upadhyaya, J.R.Cooke, R.H.Rand A. ASAE paper no.81-3042 presented at 1981 Summer meeting of ASAE B. Journal of Ag. Eng. Research 33:57-78 (1986) 51. Hopf Bifurcation in a Stomatal Oscillator R.H.Rand, S.K.Upadhyaya, J.R.Cooke, D.W.Storti J. Math. Biology 12:1-11 (1981) 52. The Nature of the Coupling Between Segmental Oscillators of the Lamprey Spinal Generator for Locomotion: A Mathematical Model A.H.Cohen, P.J.Holmes, R.H.Rand J. Math. Biology 13:345-369 (1982) 53. Coupled Oscillators as a Model for Nonlinear Parametric Excitation C.A.Holmes, R.H.Rand Mechanics Res. Comm. 8:263-268 (1981) 54. Effect of CO2 Enrichment on Greenhouse Crop Production S.K.Upadhyaya, J.R.Cooke, R.H.Rand ASAE paper no.81-4524 presented at 1981 Winter meeting of ASAE 55. Dynamics of Fruit Tree Trunk Impact S.K.Upadhyaya, R.H.Rand, J.R.Cooke Trans. ASAE 24:846-855 (1981) 56. Phase Locked Motions of Weakly Coupled Limit Cycle Oscillators W.L.Keith, R.H.Rand in Abstracts of Ninth U.S. National Congress of Applied Mechanics, Cornell Univ. 45 (1982) 57. Bifurcation of 4:1 Subharmonics in the Nonlinear Mathieu Equation L.A.Month, R.H.Rand Mechanics Res. Comm. 9:233-240 (1982) 58. Dynamics of Two Strongly Coupled Van der Pol Oscillators D.W.Storti, R.H.Rand Int. J. Nonlinear Mechanics 17:143-152 (1982) 59. Dynamics of Coupled Stomatal Oscillators R.H.Rand, D.W.Storti, S.K.Upadhyaya, J.R.Cooke J. Math. Biology 15:131-149 (1982) 60. Fluid Mechanics of Green Plants R.H.Rand Ann. Rev. Fluid Mech. 15:29-45 (1983) 61. muMath Fix R.H.Rand letter in 80 Micro 40:16 (1983) 62. Book Review of "Classical Mechanics" by E.A.Desloge R.H.Rand J. Applied Mechanics 50:478 (1983) 63. Book: Computer Algebra in Applied Mathematics: An Introduction to MACSYMA R.H.Rand Research Notes in Mathematics No.94, 181pp. Pitman Publishing Inc. (1984) 64. The Coordinating System of the Lamprey Central Pattern Generator for Locomotion A.H.Cohen, R.H.Rand in Program Abstract Book for Symposium on Mathematics and Computers in Biomedical Applications, National Institutes of Health Publication No. 84-2705, p.17 (1984) 65. Parametric Stiffness Control of Flexible Structures F.C.Moon, R.H.Rand in Proceedings of the Workshop on Identification and Control of Flexible Space Structures, G. Rodriguez, ed., NASA JPL Publication 85-29, Vol.II, pp.329-342, (1985) 66. 1:1 and 2:1 Phase Entrainment in a System of Two Coupled Limit Cycle Oscillators W.L.Keith, R.H.Rand J. Math. Biology 20:133-152 (1984) 67. Normal Form and Center Manifold Calculations on MACSYMA R.H.Rand, W.L.Keith A. abstract in 188th Natl Meeting Amer. Chemical Soc.,Phila., Aug.26-31, 1984 B. in "Applications of Computer Algebra", R. Pavelle, ed., Kluwer Academic Publishers, 309-328 (1985) 68. Derivation of the Hopf Bifurcation Formula using Lindstedt's Perturbation Method and MACSYMA R.H.Rand A. abstract in 188th Natl Meeting Amer. Chemical Soc.,Phila., Aug.26-31, 1984 B. in "Applications of Computer Algebra", R. Pavelle, ed., Kluwer Academic Publishers, 293-308 (1985) 69. Stability of A Rigid Body with an Oscillating Particle: An Application of MACSYMA L.A.Month, R.H.Rand A. ASME paper no. 85-APM-28, presented at Joint ASME/ASCE Applied Mechanics, Bioengineering, and Fluids Engineering Conference, Albuquerque, N.M., June 24-26, 1985 B. Journal of Applied Mechanics 52:686-692 (1985) 70. Eye Movements and Enhancement of Edges S.D.Woods, R.H.Rand, H.D.Block, D.C.Lewis J. Math. Biology 21:273-283 (1985) 71. Dynamics of Stomate Fields in Leaves R.H.Rand, J.L.Ellenson A. abstract in 151st National Meeting AAAS, Los Angeles, May 26-31, 1985, p.34 B. in Lectures on Mathematics in the Life Sciences, Vol. 18, Some Mathematical Questions in Biology - Plant Biology, ed. L. Gross, pp.51-86, Amer.Math.Soc., Providence R.I. (1986) 72. Dynamics of Two Strongly Coupled Relaxation Oscillators D.W.Storti, R.H.Rand SIAM J. Applied Math. 46:56-67 (1986) 73. Dynamics of a System Exhibiting the Global Bifurcation of a Limit Cycle at Infinity W.L.Keith, R.H.Rand International J. Nonlinear Mechanics 20:325-338 (1985) 74. Determinacy of Degenerate Equilibria with Linear Part x'=y, y'=0 Using MACSYMA R.H.Rand, W.L.Keith Applied Mathematics and Computation 21:1-19 (1987) 75. Numerical Corrections of Wu's Coefficients for Scattering of High-Frequency Waves from Spheres and Cylinders I.G.Lisle, J.Y.Parlange, R.H.Rand, M.B.Parlange, W.L.Hogarth, R.D.Braddock, H.P.Gottlieb Physical Review Letters 55:555-557 (1985) 76. Teaching Engineering Analysis Using Symbolic Algebra and Calculus R.H.Lance, R.H.Rand, F.C.Moon Engineering Education 76:97-101 (1985) 77. The Transition from Phase Locking to Drift in a System of Two Weakly Coupled Van der Pol Oscillators T.Chakraborty, R.H.Rand A. abstract in Fourth Army Conference on Applied Mathematics and Computing, May 27-30, 1986, Cornell University B. in Transactions of Fourth Army Conference on Applied Mathematics and Computing, ARO Report 87-1, 1003-1018 (1987) C. International J. Nonlinear Mechanics 23:369-376 (1988) 78. Stomatal Dynamics in the Leaves of Green Plants R.H.Rand A. abstract in Tenth U.S. National Congress of Applied Mechanics, June 16-20, 1986, University of Texas at Austin B. Proceedings of the Tenth U.S. National Congress of Applied Mechanics, J.P.Lamb editor, pp.69-76, Amer.Soc.Mech Eng., (1987) 79. Water Movement in Soils - The Role of Analytical Solutions J.Y.Parlange, R.Haverkamp, R.H.Rand, L.Rendon, G.H.Schmitz A. abstract in 78th Annual Meeting American Soc. Agronomy, Nov.30-Dec.5,1986, New Orleans, p.161 B. in Future Developments in Soil Science Research,pp.11-21, Soil Science Society of America (1987) 80. Computer Algebra Applications Using MACSYMA R.H.Rand A. abstract in 19th Symposium on the Interface: Computer Science and Statistics, March 8-11,1987, Philadelphia, p.56 B. in Proceedings of 19th Symposium on the Interface: Computer Science and Statistics, March 8-11,1987, Philadelphia, Ed. R.M.Heiberger, American Statistical Association, Alexandria VA, pp.231-236 (1987) 81. Lie Transforms Applied to a Nonlinear Parametric Excitation Problem J.L.Len, R.H.Rand A. abstract in Fifth Army Conference on Applied Mathematics and Computing, June 15-18, 1987, West Point B. in Transactions of Fifth Army Conference on Applied Mathematics and Computing, ARO Report 88-1, 1-27 (1988) C. International J. Nonlinear Mechanics 23:297-313 (1988) 82. Book: Perturbation Methods, Bifurcation Theory and Computer Algebra R.H.Rand, D.Armbruster Applied Mathematical Sciences No.65, 243 pp. Springer Verlag (1987) 83. A Simplified Model of Coupled Relaxation Oscillators D.Storti, R.H.Rand International J. Nonlinear Mechanics 22:283-289 (1987) 84. Systems of Coupled Oscillators as Models of Central Pattern Generators R.H.Rand, A.H.Cohen, P.J.Holmes Chapter 9 in Neural Control of Rhythmic Movements in Vertebrates, Ed. A.H.Cohen, 333-368, John Wiley and Sons (1988) 85. Computer Algebra Implementation of Lie Transforms for Hamiltonian Systems: Application to the Nonlinear Stability of L4 V.T.Coppola, R.H.Rand A. abstract in Sixth Army Conference on Applied Mathematics and Computing, May 31-June 3, 1988, University of Colorado at Boulder B. abstract in Applications of Computer Technology to Dynamical Astronomy, IAU Colloquium 109, July 27-29, 1988, Gaithersburg, Maryland C. in Transactions of Sixth Army Conference on Applied Mathematics and Computing, ARO Report 89-1, 607-638 (1989) D. Celestial Mechanics 45:103-104 (1989) E. Z.angew.Math.Mech. (ZAMM) 69:275-284 (1989) 86. Symbolic Computation and Perturbation Methods using Elliptic Functions V.T.Coppola, R.H.Rand A. abstract in Sixth Army Conference on Applied Mathematics and Computing, May 31-June 3, 1988, University of Colorado at Boulder B. in Transactions of Sixth Army Conference on Applied Mathematics and Computing, ARO Report 89-1, 639-676 (1989) 87. Integrability of Plane Quadratic Vector Fields D.Schlomiuk, J.Guckenheimer, R.Rand A. Rapports de Recherche du Department de Mathematiques et de Statistique, Universite de Montreal, D.M.S. No.88-8 (1988) B. Expositiones Mathematicae 8:3-25 (1990) 88. Subharmonic Entrainment of a Forced Relaxation Oscillator D.Storti, R.H.Rand International J. Nonlinear Mechanics 23:231-239 (1988) 89. The Use of Symbolic Computation in Perturbation Analysis R.H.Rand in Symbolic Computation in Fluid Mechanics and Heat Transfer ed. H.H.Bau et al., ASME publication HTD-105/AMD-97, pp.41-45 (1988) 90. The Transition to Chaos in a Simple Mechanical System S.W.Shaw, R.H.Rand International J. Nonlinear Mechanics 24:41-56 (1989) 91. Book Review of "Manifolds and Mechanics" by A.Jones, A.Gray and R.Hutton R.H.Rand SIAM Review 31:157-158 (1989) 92. Analytical Approximation for Period-Doubling Following a Hopf Bifurcation R.H.Rand Mechanics Research Communications 16:117-123 (1989) 93. Computer Algebra and the Elliptic Restricted Problem of Three Bodies R.H.Rand, B.Viswanadham in Proceedings of Twelfth Canadian Congress of Applied Mechanics, May 28-June 2, 1989, Carleton University, Ottawa, pp.248-249 94. Degenerate Homoclinic Cycles in Perturbations of Quadratic Hamiltonian Systems J.Guckenheimer, R.Rand, D.Schlomiuk Nonlinearity 2:405-418 (1989) 95. Perturbation Methods and Computer Algebra R.Rand Chapter 6 in Symbolic Computation: Applications to Scientific Computing, ed. R.Grossman, SIAM, pp.139-151 (1989) 96. Resonance in a High-Speed Flexible-Arm Robot M.F.Golnaraghi, F.C.Moon, R.H.Rand Dynamics and Stability of Systems 4:169-188 (1989) 97. Analytical Model of Corneal Surgery H.C.Howland, R.H.Rand, S.L.Lubkin A. abstract in Investigative Opthamology and Visual Science 31:481 (1990) B. J.Biomechanical Eng. 113:239-241 (1991) C. abstract in Proceedings of 1991 Optical Society of America Annual Meeting, Nov.3-8,1991 San Jose,CA, p.103 D. Refractive and Corneal Surgery 8:183-186 (1992) 98. Computer Algebra, Elliptic Functions and Chaos V.T.Coppola, R.H.Rand in Proceedings of 1990 ASME International Computers in Engineering Conference, Vol.1, pp.193-200, Amer.Soc.Mech.Eng. (1990) 99. Averaging Using Elliptic Functions: Approximation of Limit Cycles V.T.Coppola, R.H.Rand Acta Mechanica 81:125-142 (1990) 100. Bifurcations and Chaos in a Forced Zero-Stiffness Impact Oscillator G.X.Li, R.H.Rand, F.C.Moon International J. Nonlinear Mechanics 25:417-432 (1990) 101. Spinup Through Resonance of Rotating Unbalanced Systems with Limited Torque R.J.Kinsey, D.L.Mingori, R.H.Rand AIAA paper no. 90-2966 in Proceedings of AIAA/AAS Astrodynamics Conference, Aug.20-22,1990, Portland,OR, Part 2, pp.805-813 102. Using Computer Algebra to Handle Elliptic Functions in the Method of Averaging R.H.Rand in Symbolic Computations and Their Impact on Mechanics, eds. A.K.Noor, I.Elishakoff, G.Hulbert, pp.311-326, Amer.Soc.Mech.Eng., PVP-Vol.205, (1990) 103. MACSYMA Program to Implement Averaging Using Elliptic Functions V.T.Coppola, R.H.Rand in Computer Aided Proofs in Analysis, eds. K.R.Meyer and D.S.Schmidt, pp.71-89, Springer Verlag (1991) 104. Chaos in a System with a Periodically Disappearing Separatrix V.T.Coppola, R.H.Rand Nonlinear Dynamics 1: 401-420 (1990) 105. Chaotic Motions of a Constrained Pipe Conveying Fluid: Comparison Between Simulation, Analysis, and Experiment M.P.Paidoussis, G.X.Li, R.H.Rand A. ASME paper no. 91-APM-36, presented at Joint Applied Mechanics/Bioengineering Conference, Columbus, OH, June 16-19, 1991 B. J.Applied Mechanics 58:559-565 (1991) 106. Spinup Dynamics of Axial Dual-Spin Spacecraft C.D.Hall, R.H.Rand A. AAS paper no. 91-403 in Proceedings of AAS/AIAA Astrodynamics Conference, Aug.19-22,1991, Durango,CO B. in Astrodynamics 1991, Vol.76, Advances in the Astronautical Sciences, eds. B.Kaufman, K.T.Alfriend, R.L.Roehrich, R.R.Dasenbrock, pp.641-660, Am.Astronautical Soc. (1992) C. J.Guidance,Control and Dynamics, 17:30-37 (1994) 107. Global Dynamics of a Two-Degree of Freedom System with Nonlinear Normal Modes A.F.Vakakis, R.H.Rand Engineering Science Preprints-28, no. ESP28.91004 28th Annual Technical Meeting of the Society of Engineering Science, Nov.6-8,1991, Gainesville, FL 108. Dynamics of Spinup Through Resonance R.H.Rand, R.J.Kinsey, D.L.Mingori International J. Nonlinear Mechanics 27:489-502 (1992) 109. Bruno's Days at Cornell (in honor of B.A.Boley's 65th birthday) R.H.Rand A. J.Thermal Stresses 15:v-vii (1992) B. J.Thermal Stresses 40:s8-s9 (2017) 110. Normal Modes and Global Dynamics of a Two-Degree of Freedom Nonlinear System - I. Low Energies A.F.Vakakis, R.H.Rand International J. Nonlinear Mechanics 27:861-874 (1992) 111. Normal Modes and Global Dynamics of a Two-Degree of Freedom Nonlinear System - II. High Energies A.F.Vakakis, R.H.Rand International J. Nonlinear Mechanics 27:875-888 (1992) 112. Free Vibrations of a Thin Elastica by Normal Modes C.H.Pak, R.H.Rand, F.C.Moon Nonlinear Dynamics 3:347-364 (1992) 113. Bifurcation of Nonlinear Normal Modes in a Class of Two Degree of Freedom Systems R.H.Rand, C.H.Pak, A.F.Vakakis Acta Mechanica [Suppl] 3:129-145 (1992) 114. Chaos and Symbol Sequences in Systems with a Periodically-Disappearing Figure-Eight Separatrix J.Bridge, R.Rand in Bifurcation Phenomena and Chaos in Thermal Convection, eds. H.H.Bau, L.A.Bertram, S.A.Korpela, pp.47-55, Amer.Soc.Mech.Eng., HTD-Vol.214, (1992) 115. The Dynamics of Resonant Capture D.Quinn, R.Rand, J.Bridge A. abstract in Final Program for Joint Meeting of American and Mexican Mathematical Societies, Merida, Mexico, December 1-4, 1993, p.31 B. abstract in Program for Fifth Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures, VPISU, Blacksburg VA, June 12-16, 1994 C. Nonlinear Dynamics 8:1-20 (1995) 116. Book: Topics in Nonlinear Dynamics with Computer Algebra R.H.Rand 229pp., Gordon and Breach (1994) 117. Nonlinear Controller to Reduce Resonance Effects During Despin of a Dual-Spin Spacecraft through Precession Phase Lock R.J.Kinsey, D.L.Mingori, R.H.Rand A. Proceedings of the 31st Conference on Decision and Control Tucson, Arizona, Dec.16-18, 1992, Vol.4, pp.3025-3030 B. J.Guidance,Control,and Dynamics 19:60-67 (1996) 118. Oscillatory Reaction-Diffusion Equations on Rings S.Lubkin, R.Rand J.Math.Biol. 32:617-632 (1994) 119. Perturbation Methods and Computer Algebra in Mechanics R.H.Rand in Computerized Symbolic Manipulation in Mechanics, International Centre for Mechanical Sciences, CISM Courses and Lectures No.343, ed.E.Kreuzer, pp.149-199, Springer-Verlag (1994) 120. Resonant Capture in a System of Two Coupled Homoclinic Oscillators R.H.Rand, D.D.Quinn A. in Nonlinear and Stochastic Dynamics, eds.A.K.Bajaj, N.S.Namachchivaya, R.A.Ibrahim, pp.249-267, Amer.Soc.Mech.Eng., AMD-Vol.192, DE-Vol.78 (1994) B. J.Vibration and Control 1:41-56 (1995) 121. A Perturbation Approach to Resonant Capture D.D.Quinn, R.H.Rand Chapter 6 in Smart Structures, Nonlinear Dynamics and Control, eds. A.Guran and D.J.Inman, pp.226-246, Prentice Hall (1995) 122. Limited Torque Spinup of an Unbalanced Rotor on an Elastic Support R.J.Kinsey, D.L.Mingori, R.H.Rand Proceedings of the 1995 American Control Conference, Seattle, Washington, June 21-23, 1995, Vol.6, pp.4368-4373 123. Dynamics of a Nonlinear Parametrically-Excited Partial Differential Equation R.H.Rand, W.I.Newman, B.C.Denardo, A.L.Newman A. Proceedings of the 1995 Design Engineering Technical Conferences, Vol.3, Part A, "Vibration of Nonlinear, Random and Time-Varying Systems", Boston, Mass, Sept.17-20, 1995, American Soc.Mech.Engineers, DE-Vol.84-1, pp.57-68 B. Chaos 9:242-253 (1999) 124. A Quasiperiodic Mathieu Equation R.Rand, R.Hastings Proceedings of the 1995 Design Engineering Technical Conferences, Vol.3, Part A, "Vibration of Nonlinear, Random and Time-Varying Systems", Boston, Mass, Sept.17-20, 1995, American Soc.Mech.Engineers, DE-Vol.84-1, pp.747-758 125. Fluid Mechanics in Plant Biology R.H.Rand, J.R.Cooke in Handbook of Fluid Dynamics and Fluid Machinery,vol.III: Application of Fluid Dynamics, Eds.J.A.Schetz, A.E.Fuhs, pp.1921-1938, John Wiley and Sons (1996) 126. Dynamics of a Nonlinear Parametrically-Excited PDE: 2-Term Truncation R.H.Rand Mechanics Research Communications 23: 283-289 (1996) 127. Book Review of "Applied Nonlinear Dynamics: Analytical, Computational and Experimental Methods" by A.Nayfeh and B.Balachandran R.H.Rand SIAM Review 38:350-352 (1996) 128. Synchronous Locking of Tidally Evolving Satellites B.Gladman, D.D.Quinn, P.Nicholson, R.Rand Icarus 122:166-192 (1996) 129. Book Review of "Perturbation Methods in the Computer Age", by D.C.Wilcox R.H.Rand SIAM Review 38:539-540 (1996) 130. Transition Curves in the Quasiperiodic Mathieu Equation R.S.Zounes, R.H.Rand A. in Nonlinear Dynamics and Controls, eds.A.K.Bajaj, N.S.Namachchivaya, M.A.Franchek, pp.1-6, Amer.Soc.Mech.Eng., DE-Vol.91 (1996) B. Abstract in Fourth SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, May 18-22, 1997, pp.81-82. C. SIAM J.Appl.Math. 58:1094-1115 (1998) (http://epubs.siam.org/sam-bin/dbq/article/30387). 131. A Mathematical Model of a Placido Disk Keratometer and its Implications for Recovery of Corneal Topography R.Rand, R.A.Applegate, H.C.Howland A. Proceedings of "Vision Science and Its Applications" Conference, Santa Fe, NM, Jan.31-Feb.2,1997, 1997 OSA Technical Digest Series, Vol.1, Optical Society of America B. Optometry and Vision Science 74:926-930 (1997). 132. Impact Dynamics of a Supercavitating Underwater Projectile R.Rand, R.Pratap, D.Ramani, J.Cipolla, I.Kirschner A. Paper Pre-Prints for Third International Symposium on Performance Enhancement for Marine Applications, Newport, RI, May 5-8,1997, pp.175-183 B. Proceedings of the Third International Symposium on Performance Enhancement for Marine Applications, Newport, RI, May 5-8,1997, pp.215-223 C. Proceedings of the 1997 ASME Design Engineering Technical Conferences, 16th Biennial Conference on Mechanical Vibration and Noise, Sacramento, CA, Sept. 14-17, 1997, paper no.DETC97/VIB-3929 (CD-ROM) 133. Modeling the Pumping of a Swing S.Wirkus, R.Rand, A.Ruina A. Newsletter for the Consortium for Ordinary Differential Equations Experiments (CODEE), Winter-Spring 1997, pp.7-11 B. The College Mathematics Journal 29:266-275 (1998) 134. Dynamics of a Quasiperiodically Forced Mathieu Oscillator R.Rand, R.Zounes, R.Hastings A. Abstract in IUTAM CHAOS '97 conference abstracts, July 27-Aug.1, 1997, Cornell University, pp.74,75 B. Chapter 9 in "Nonlinear Dynamics: The Richard Rand 50th Anniversary Volume", A.Guran, ed. World Scientific Pub.Co. pp.203-221 (1997) C. in IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics, ed.F.C.Moon, Kluwer Academic Pubs., pp.61-70 (1998) 135. Nonlinear Modal Analysis of a Cracked Beam M.Chati, R.H.Rand, S.Mukherjee A. Proceedings of the 1997 ASME Design Engineering Technical Conferences, 16th Biennial Conference on Mechanical Vibration and Noise, Sacramento, CA, Sept. 14-17, 1997, paper no.DETC97/VIB-3950 (CD-ROM) B. J.Sound and Vibration 207:249-270 (1997) 136. The Dynamics of the Celt with Second Order Averaging and Computer Algebra A.D.Blackowiak, R.H.Rand, H.Kaplan Proceedings of the 1997 ASME Design Engineering Technical Conferences, 16th Biennial Conference on Mechanical Vibration and Noise, Sacramento, CA, Sept. 14-17, 1997, paper no.DETC97/VIB-4103 (CD-ROM) 137. Dynamics of Two Coupled van der Pol Oscillators with Delay Coupling S.Wirkus, R.Rand A. Proceedings of the 1997 ASME Design Engineering Technical Conferences, 16th Biennial Conference on Mechanical Vibration and Noise, Sacramento, CA, Sept. 14-17, 1997, paper no.DETC97/VIB-4019 (CD-ROM) B. Proceedings of the 1999 ASME Design Engineering Technical Conferences, 17th Biennial Conference on Mechanical Vibration and Noise, Las Vegas, NV, Sept. 12-15, 1999, paper no.DETC99/VIB-8318 (CD-ROM) C. Nonlinear Dynamics 30:205-221 (2002) 138. Relaxation Oscillations in Tidally Evolving Satellites D.Quinn, B.Gladman, P.Nicholson, R.Rand Celestial Mechanics and Dynamical Astronomy 67:111-130 (1997) 139. Book Review of "Normal Modes and Localization in Nonlinear Systems" by A.F.Vakakis, L.I.Manevitch, Y.V.Mikhlin, V.N.Pilipchuk and A.A.Zevin R.H.Rand SIAM Review 39:544-546 (1997) 140. Resonant Capture and Separatrix Crossing in Dual-Spin Spacecraft R.Haberman, R.Rand, T.Yuster Nonlinear Dynamics 18:159-184 (1999) 141. Nonlinear Normal Modes in a System with Nonholonomic Constraints R.H.Rand, D.V.Ramani A. Abstract in Fifth SIAM Conference on Applications of Dynamical Systems, May 23-27, 1999, Utah, p.121. B. paper presented at the 1999 ASME Design Engineering Technical Conferences, 17th Biennial Conference on Mechanical Vibration and Noise, Las Vegas, NV, Sept. 12-15, 1999, paper no.DETC99/VIB-8174 C. Nonlinear Dynamics 25:49-64 (2001) 142. Sequences of Orbits and the Boundaries of the Basin of Attraction for Two Double Heteroclinic Orbits R.Haberman, R.Rand International J. Nonlinear Mechanics 34:1047-1059 (1999) 143. Nonlinear Dynamics of the Bombardier Beetle R.H.Rand, E.T.Wirkus, J.R.Cooke Proceedings of the 1999 ASME Design Engineering Technical Conferences, 17th Biennial Conference on Mechanical Vibration and Noise, Las Vegas, NV, Sept. 12-15, 1999, paper no.DETC99/VIB-8011 (CD-ROM) 144. On the Torus Flow Y'=A+B COS Y+C COS X and its Relation to the Quasiperiodic Mathieu Equation S.Mason, R.Rand Proceedings of the 1999 ASME Design Engineering Technical Conferences, 17th Biennial Conference on Mechanical Vibration and Noise, Las Vegas, NV, Sept. 12-15, 1999, paper no.DETC99/VIB-8052 (CD-ROM) 145. Theoretical Study of a Submarine Towed-Array Lifting Device R.H.Rand, D.V.Ramani, W.L.Keith, K.M.Cipolla A. Proceedings of the UDT (Underwater Defense Technology) Europe 2000 Conference, June 27-29, 2000, Wembley Conference Centre, London UK (CD-ROM) B. Proceedings of the 2000 ASME International Mechanical Engineering Congress and Exposition, Nov.5-10, 2000, Orlando, FL, in AD-Vol.61 ``Control of Vibration and Noise: New Millenium", eds. H.Tzou, M.Golnaraghi, C.Radcliffe, pp.39-50, ASME (2000) 146. The Dynamics of Resonant Capture R.Rand Proceedings of the First International Symposium on Impact and Friction of Solids, Structures and Intelligent Machines, June 27-30, 1998, Ottawa, pp.91-94, World Scientific (2000) 147. Relaxing Nonholonomic Constraints R.Rand and D.Ramani Proceedings of the First International Symposium on Impact and Friction of Solids, Structures and Intelligent Machines, June 27-30, 1998, Ottawa, pp.113-116, World Scientific (2000) 148. Bifurcations in a Mathieu Equation with Cubic Nonlinearities L.Ng and R.Rand A. Proceedings of the 2000 ASME International Mechanical Engineering Congress and Exposition, Nov.5-10, 2000, Orlando, FL, in AMD-Vol.241 ``Nonlinear Dynamics and Stochastic Mechanics", eds. W.Xie, N.Namachchivaya, B.Balachandran, pp.1-12, ASME (2000) B. Chaos, Solitons and Fractals 14:173-181 (2002) 149. Dynamics of Two Time-Delay Coupled Relaxation Oscillators of the van der Pol Type A.K.Sen and R.H.Rand A. Proceedings of the 2000 ASME International Mechanical Engineering Congress and Exposition, Nov.5-10, 2000, Orlando, FL, in DE-Vol.108/DSC-Vol.68 ``Dynamics, Acoustics and Simulations", eds. R.Han, K.Lee, A.Luo, pp.53-60, ASME (2000) B. Communications on Pure and Applied Analysis 2:567-577 (2003) 150. A Mathematical Model of a Retinal Oscillator R.H.Rand, E.T.Wirkus, T.Li, H.C.Howland Proceedings of the 2000 ASME International Mechanical Engineering Congress and Exposition, Nov.5-10, 2000, Orlando, FL, in BED-Vol.48 ``2000 Advances in Bioengineering" ed. T.Conway, pp.89-90, ASME (2000) 151. Pattern Formation in a Parametrically-Excited P.D.E. M.D.Stubna and R.H.Rand Proceedings of the 2001 ASME Design Engineering Technical Conferences, 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, Sept. 9-12, 2001, paper no.DETC2001/VIB-21401 (CD-ROM) 152. Dynamics of Towed Cables During Transient Motions L.Ng, R.Rand and W.Keith Proceedings of the 2001 ASME Design Engineering Technical Conferences, 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, Sept. 9-12, 2001, paper no.DETC2001/VIB-21438 (CD-ROM) 153. Perturbation Solution for Secondary Bifurcation in the Quadratically-Damped Mathieu Equation D.V.Ramani, R.H.Rand and W.L.Keith A. Proceedings of the 2001 ASME Design Engineering Technical Conferences, 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, Sept. 9-12, 2001, paper no.DETC2001/VIB-21587 (CD-ROM) B. International J. Nonlinear Mechanics 39:491-502 (2004) 154. Global Behavior of a Nonlinear Quasiperiodic Mathieu Equation R.S.Zounes and R.H.Rand A. Proceedings of the 2001 ASME Design Engineering Technical Conferences, 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, Sept. 9-12, 2001, paper no.DETC2001/VIB-21595 (CD-ROM) B. Nonlinear Dynamics 27:87-105 (2002) 155. An Examination of Wake Oscillator Models for Vortex-Induced Vibrations L.Ng, R.H.Rand, T.Wei and W.L.Keith NUWC-NPT Technical Report 11,298, NAVSEA Naval Undersea Warfare Center Division, Newport, RI, (2001) 156. Subharmonic Resonance in the Nonlinear Mathieu Equation R.S.Zounes and R.H.Rand International J. Nonlinear Mechanics 37:43-73 (2002) 157. Non-linear Modal Interactions in the Oscillations of a Liquid Drop in a Gravitational Field I.Rozhkov, A.F.Vakakis and R.H.Rand International J. Nonlinear Mechanics 36:803-812 (2001) 158. A Bifurcation Analysis of the Quadratically Damped Mathieu Equation and Its Applications to the Dynamics of Submarine Towed-Array Lifting Devices D.V.Ramani, R.H.Rand and W.L.Keith Proceedings of the UDT (Underwater Defense Technology) Hawaii 2001 Conference, Oct 30-Nov 1, 2001, Hilton Hawaiian Village, Waikiki, Hawaii (CD ROM) 159. Dynamics of Two van der Pol Oscillators Coupled via a Bath E.Wirkus, R.Rand and H.Howland A. Abstract in Proceedings of the 14th US National Congress of Theoretical and Applied Mechanics, Virginia Polytechnic Institute, Blacksburg, VA, June 23-28, 2002, p.151. B. Proceedings of the 2003 ASME Design Engineering Technical Conferences, 19th Biennial Conference on Mechanical Vibration and Noise, Chicago, IL, Sept. 2-6, 2003, paper no.DETC2003-48593 (CD-ROM) C. International J. Solids and Structures 41:2133-2143 (2004) 160. Slow Passage Through Resonance in Mathieu's Equation L.Ng, R.Rand and M.O'Neil A. Proceedings of the 2002 ASME International Mechanical Engineering Congress and Exposition, Nov.17-22, 2002, New Orleans, LA, paper no.IMECE2002-39139 (CD-ROM) B. J.Vibration and Control 9:685-707 (2003) 161. Bifurcations in a Mathieu Equation with Cubic Noninearities: Part II L.Ng and R.Rand A. Proceedings of the 2002 ASME International Mechanical Engineering Congress and Exposition, Nov.17-22, 2002, New Orleans, LA, paper no.IMECE2002-32410 (CD-ROM) B. Communications in Nonlinear Science and Numerical Simulation 7:107-121 (2002) 162. Nonlinear Effects on Coexistence Phenomenon in Parametric Excitation L.Ng and R.Rand A. Proceedings of the 2002 ASME International Mechanical Engineering Congress and Exposition, Nov.17-22, 2002, New Orleans, LA, paper no.IMECE2002-32406 (CD-ROM) B. Nonlinear Dynamics 31:73-89 (2003) 163. Analysis of a Nonlinear Partial Difference Equation and Its Application to Cardiac Dynamics M.D.Stubna, R.H.Rand and R.F.Gilmour J.Difference Equations and Applications 8:1147-1169 (2002) 164. Book Review of "Analytical Mechanics" by A.I.Lurie R.H.Rand SIAM Review 45:156-159 (2003) 165. Tree Size Frequency Distributions, Plant Density, Age and Community Disturbance K.J.Niklas, J.J.Midgley and R.H.Rand Ecology Letters 6:405-411 (2003) 166. 2:2:1 Resonance in the Quasiperiodic Mathieu Equation R.Rand, K.Guennoun and M.Belhaq A. Proceedings of the 2003 ASME Design Engineering Technical Conferences, 19th Biennial Conference on Mechanical Vibration and Noise, Chicago, IL, Sept. 2-6, 2003, paper no.DETC2003-48563 (CD-ROM) B. Nonlinear Dynamics 31:367-374 (2003) 167. Nonlinear Dynamics of a System of Coupled Oscillators with Essential Stiffness Nonlinearities A.F.Vakakis and R.H.Rand A. Proceedings of the 2003 ASME Design Engineering Technical Conferences, 19th Biennial Conference on Mechanical Vibration and Noise, Chicago, IL, Sept. 2-6, 2003, paper no.DETC2003-48446 (CD-ROM) B. International J. Nonlinear Mechanics 39:1079-1091 (2003) 168. Hopf Bifurcation in a Disk-Shaped NEMS M.Zalalutdinov, J.Parpia, K.Aubin, H.Craighead, T.Alan, A.Zehnder and R.Rand Proceedings of the 2003 ASME Design Engineering Technical Conferences, 19th Biennial Conference on Mechanical Vibration and Noise, Chicago, IL, Sept. 2-6, 2003, paper no.DETC2003-48516 (CD-ROM) 169. Size-dependent Species Richness: Trends Within Plant Communities and Across Latitude K.J.Niklas, J.J.Midgley and R.H.Rand Ecology Letters 6:631-636 (2003) 170. Book Review of "Chaotic Synchronization: Applications to Living Systems" by Mosekilde, Maistrenko and Postnov R.H.Rand SIAM Review 45:617-618 (2003) 171. Frequency Entrainment for Micromechanical Oscillator M.Zalalutdinov, K.L.Aubin, M.Pandey, A.T.Zehnder, R.H.Rand, H.G.Craighead and J.M.Parpia Applied Physics Letters 83:3281-3283 (2003) 172. Lecture Notes on Nonlinear Vibrations R.H.Rand Published on-line by The Internet-First University Press (2004) http://dspace.library.cornell.edu/handle/1813/79 173. Limit Cycle Oscillations in CW Laser-Driven NEMS K.Aubin, M.Zalalutdinov, T.Alan, R.B.Reichenbach, R.Rand, A.Zehnder, J.Parpia and H.Craighead J. Microelectromechanical Systems 13:1018-1026 (2004) 174. Parametric Resonance of Hopf Bifurcation R.Rand, A.Barcilon and T.Morrison A. Nonlinear Dynamics 39:411-421 (2005) B. Proceedings of the 2005 ASME International Design Engineering Technical Conferences, Sept. 24-28, 2005, Long Beach, CA, paper no.DETC2005-84016 (CD-ROM) 175. 2:1:1 Resonance in the Quasi-Periodic Mathieu Equation R.Rand and T.Morrison A. Nonlinear Dynamics 40:195-203 (2005) B. Proceedings of the 2005 ASME International Design Engineering Technical Conferences, Sept. 24-28, 2005, Long Beach, CA, paper no.DETC2005-84015 (CD-ROM) 176. Synchronization in the Winfree Model of Coupled Nonlinear Oscillators D.D.Quinn, R.H.Rand and S.Strogatz A. Proceedings of the ENOC-2005 Conference, Eindhoven, Netherlands, August 7-12, 2005 (CD-ROM) B. Physical Review E 75:036218 (2007) 177. Self-thinning and Community Persistence in a Simple Size-structured Dynamical Model of Plant Growth F.Dercole, K.Niklas and R.Rand J.Math.Biology 51:333-354 (2005) 178. Coexistence Phenomenon in Autoparametric Excitation of Two Degree of Freedom Systems G.Recktenwald and R.Rand A. International J. Nonlinear Mechanics 40:1160-1170 (2005) B. Proceedings of the 2005 ASME International Design Engineering Technical Conferences, Sept. 24-28, 2005, Long Beach, CA, paper no.DETC2005-84020 (CD-ROM) 179. Dynamics of Three Coupled van der Pol Oscillators with Application to Circadian Rhythms K.Rompala, R.Rand and H.Howland A. Proceedings of the 2005 ASME International Design Engineering Technical Conferences, Sept. 24-28, 2005, Long Beach, CA, paper no.DETC2005-84017 (CD-ROM) B. Communications in Nonlinear Science and Numerical Simulation 12:794-803 (2007) 180. Frequency Locking in a Forced Mathieu-van der Pol-Duffing System M.Pandey, R.Rand and A.Zehnder A. Proceedings of the 2005 ASME International Design Engineering Technical Conferences, Sept. 24-28, 2005, Long Beach, CA, paper no.DETC2005-84018 (CD-ROM) B. Proceedings of the 2007 ASME International Design Engineering Technical Conferences, Sept.4-7, 2007, Las Vegas, NV, paper no. DETC2007-34411 (CD-ROM) C. Nonlinear Dynamics 54:3-12 (2008) 181. Third-Order Intermodulation in a Micromechanical Thermal Mixer R.B.Reichenbach, M.Zalalutdinov, K.L.Aubin, R.Rand, B.H.Houston, J.M.Parpia and H.G.Craighead J. Microelectromechanical Systems 14:1244-1252 (2005) 182. The Damped Nonlinear Quasiperiodic Mathieu Equation Near 2:2:1 Resonance N. Abouhazim, R.H. Rand and M. Belhaq Nonlinear Dynamics 45:237-247 (2006) 183. Hopf Bifurcation Formula for First Order Differential-Delay Equations R. Rand and A. Verdugo Communications in Nonlinear Science and Numerical Simulation 12:859-864 (2007) 184. Hopf Bifurcation in a DDE Model of Gene Expression A. Verdugo and R. Rand A. Communications in Nonlinear Science and Numerical Simulation 13:235-242 (2008) B. Proceedings of the 2007 ASME International Design Engineering Technical Conferences, Sept.4-7, 2007, Las Vegas, NV, paper no. DETC2007-34214 185. Center Manifold Analysis of a DDE Model of Gene Expression A. Verdugo and R. Rand Communications in Nonlinear Science and Numerical Simulation 13:1112-11120 (2008) 186. Dynamics of Four Coupled Phase-Only Oscillators R. Rand and J. Wong Communications in Nonlinear Science and Numerical Simulation 13:501-507 (2008) 187. Analysis of Frequency Locking in Optically Driven MEMS Resonators M. Pandey, K. Aubin, M. Zalalutdinov, R.B. Reichenbach, A.T. Zehnder, R.H. Rand and H.G. Craighead J. Microelectromechanical Systems 15:1546-1554 (2006) 188. Stability of Strongly Nonlinear Normal Modes G.Recktenwald and R.Rand Communications in Nonlinear Science and Numerical Simulation 12:1128-1132 (2007) 189. Perturbation Analysis of Entrainment in a Micromechanical Limit Cycle Oscillator M.Pandey, R.Rand and A.Zehnder Communications in Nonlinear Science and Numerical Simulation 12:1291-1301 (2007) 190. Trigonometric Simplification of a Class of Conservative Nonlinear Oscillators G.Recktenwald and R.Rand Nonlinear Dynamics 49:193-201 (2007) 191. Two Models for the Parametric Forcing of a Nonlinear Oscillator N. Abouhazim, M. Belhaq and R.H. Rand Nonlinear Dynamics 50:147-160 (2007) 192. 2:1 Resonance in the Delayed Nonlinear Mathieu Equation T.M. Morrison and R.H. Rand Nonlinear Dynamics 50:341-352 (2007) 193. Dynamics of Three Coupled Limit Cycle Oscillators with Application to Artificial Intelligence L. Mendelowitz, A. Verdugo and R. Rand Communications in Nonlinear Science and Numerical Simulation 14:270-283 (2009) 194. Effect of Quasiperiodic Gravitational Modulation on the Stability of a Heated Fluid Layer T. Boulal, S. Aniss, M. Belhaq and R. Rand Physical Review E 76:056320 (2007) 195. Autoparametric Quasiperiodic Excitation S.M. Sah, G. Recktenwald, R. Rand, M. Belhaq International J. Nonlinear Mechanics 43:320-327 (2008) 196. Shell Analysis of Elliptical Guard Cells in Higher Plants: A Review J.R. Cooke, R.H. Rand, H.A. Mang, J.G. DeBaerdemaker and J.Y. Lee Proceedings of the 6th International Conference on Computation of Shell and Spatial Structures IASS-IACM 2008, 28-31 May 2008, Cornell University, Ithaca NY (CD ROM) 197. DDE Model of Gene Expression: A Continuum Approach A. Verdugo and R.H. Rand A. Proceedings of ASME 2008 Dynamic Systems and Control Conference, 20-22 October 2008, Ann Arbor, MI B. Proceedings of ASME 2008 IMECE, 2-6 November 2008, Boston, MA 198. Dynamics of a Ring of Three Coupled Relaxation Oscillators J. Bridge, L. Mendelowitz, R. Rand, S. Sah, A. Verdugo Communications in Nonlinear Science and Numerical Simulation 14:1598-1608 (2009) 199. Three Oscillator Model of the Heartbeat Generator M. Suchorsky and R. Rand Communications in Nonlinear Science and Numerical Simulation 14:2434-2449 (2009) 200. Dynamics of a Ring Network of Phase-Only Oscillators J. Bridge, R. Rand and S.M. Sah Communications in Nonlinear Science and Numerical Simulation 14:3901-3913 (2009) 201. Slow Passage Through Multiple Parametric Resonance Tongues J. Bridge, R. Rand and S.M. Sah J. Vibration and Control 15:1581-1600 (2009) 202. Origin of Arrhythmias in a Heart Model H. Sheheitli and R. Rand Communications in Nonlinear Science and Numerical Simulation 14:3707-3714 (2009) 203. Dynamics of Microbubble Oscillators with Delay Coupling C.R. Heckman, S.M. Sah and R.H. Rand A. Proceedings of ASME 2009 IDETC/CIE 2009, August 30 - September 2, 2009, San Diego, California, USA B. Communications in Nonlinear Science and Numerical Simulation 15:2735-2743 (2010) C. Proceedings of European Nonlinear Oscillations Conference (ENOC) 2011, July 24-29, 2011, Rome, Italy 204. Dynamics of a Model of Two Delay-Coupled Relaxation Oscillators R.E. Ruelas and R.H. Rand Communications in Nonlinear Science and Numerical Simulation 15:1980-1988 (2010) 205. Fractional Mathieu Equation R.H.Rand, S.M.Sah and M.K.Suchorsky A. Proceedings of ASME IDETC/CIE 2010, August 15-18, 2010, Montreal, Quebec, Canada B. Communications in Nonlinear Science and Numerical Simulation 15:3254-3262 (2010) 206. Using Delay to Quench Undesirable Vibrations M.K.Suchorsky, S.M.Sah and R.H.Rand Nonlinear Dynamics 62:407-416 (2010) 207. A Digital Model of Coupled Oscillators R.E. Ruelas and R.H. Rand Communications in Nonlinear Science and Numerical Simulation 16:1135-1139 (2011) 208. Dynamics of Three Coupled Limit Cycle Oscillators with Vastly Different Frequencies H. Sheheitli and R. Rand A. Nonlinear Dynamics 64:131-145 (2011) B. Proceedings of European Nonlinear Oscillations Conference (ENOC) 2011, July 24-29, 2011, Rome, Italy 209. Anchor Deformations Drive Limit Cycle Oscillations in Interferometrically Transduced MEMS Beams D.Blocher, A.Zehnder, R.Rand, S.Mukerji A. Proceedings of 2011 NSF Engineering Research and Innovation Conference, Jan.4-7, 2011, Atlanta, Georgia B. Finite Elements in Analysis and Design 49:52-57 (2012) 210. Evolutionary Dynamics of a System with Periodic Coefficients R.H.Rand, M.Yazhbin, D.G.Rand Communications in Nonlinear Science and Numerical Simulation 16:3887-3895 (2011) 211. Differential-Delay Equations R.Rand Chapter 3 in "Complex Systems: Fractionality, Time-delay and Synchronization", A.C.J.Luo and J-Q Sun, eds., pp. 83-117, Springer (2011) 212. Multiple Limit Cycles in Laser Interference Transduced Resonators Blocher,D.B., Rand,R.H., Zehnder,A.T. A. Proceedings of the ASME 2011 IDETCC&CIE, Aug.28-31, 2011, Wash.D.C. B. International J. Non-Linear Mechanics 52:119-126 (2013) 213. A Pair of van der Pol Oscillators Coupled by Fractional Derivatives M.K.Suchorsky and R.H.Rand Nonlinear Dynamics 69:313-324 (2012) 214. Nonlinear Parametric Excitation of an Evolutionary Dynamical System R.E.Ruelas, D.G.Rand and R.H.Rand J. Mechanical Engineering science (Proceedings Inst. Mech. Eng., Part C) 226:1912-1920 (2012) 215. Dynamics of a Mass-Spring-Pendulum System with Vastly Different Frequencies H.Sheheitli and R.H.Rand A. Proc of PACAM XII 12th Pan American Congress of Applied Mechanics, Jan.2-6, 2012, Port of Spain, Trinidad B. Nonlinear Dynamics 70:25-41 (2012) 216. On the Dynamics of a Thin Elastica H.Sheheitli and R.H.Rand International J Nonlinear Mechanics 47:99-107 (2012) 217. Center Manifold Reduction of the Hopf-Hopf Bifurcation in a Time-delay System C.Heckman, J.Kotas and R.Rand A. ICSNDD (International Conference on Structural Nonlinear Dynamics and Diagnosis), April 30-May 2, 2012, Marrakech, Morocco B. Proceedings of the ESAIM (European Society for Applied and Industrial Mathematics) 39:57-65 (2013) C. Journal of Applied Nonlinear Dynamics 1:159-171 (2012) 218. BOOK: Lecture Notes in Nonlinear Vibrations (new edition) R.H.Rand Published on-line by The Internet-First University Press (2012) http://ecommons.library.cornell.edu/handle/1813/28989 219. Dynamics of microbubble oscillators with delay coupling C.Heckman and R.Rand Nonlinear Dynamics 71:121-132 (2013) 220. Straight-line Backbone Curve I.Kovacic and R.Rand Communications in Nonlinear Science and Numerical Simulation 18:2281-2288 (2013) 221. Parametric Excitation and Evolutionary Dynamics R.E.Ruelas, D.G.Rand and R.H.Rand J. Applied Mechanics 80, 051013 (2013) (6 pages); doi: 10.1115/1.4023473 222. Alternate Models of Replicator Dynamics E.N.Wesson and R.H.Rand A. Journal of Applied Nonlinear Dynamics 2:193-206 (2013) B. paper no. DETC2013-12046 Proceedings of ASME 2013 IDETC/CIE 2013, August 4-7, 2013, Portland, OR. 223. Entrainment of Micromechanical Limit Cycle Oscillators in the Presence of Frequency Instability Blocher,D.B., Zehnder,A.T. and Rand,R.H. J. Microelectromechanical Systems 22:835-845 (2013) 224. Disappearance of Resonance Tongues R.E.Ruelas and R.H.Rand A. paper no. DETC2013-12019 Proceedings of ASME 2013 IDETC/CIE 2013, August 4-7, 2013, Portland, OR. B. Journal of Applied Nonlinear Dynamics 4:1-9 (2015) 225. Two Paths to Isochronicity in a Class of One Degree of Freedom Oscillators I.N.Kovacic and R.H.Rand paper no. DETC2013-12070 Proceedings of ASME 2013 IDETC/CIE 2013, August 4-7, 2013, Portland, OR. 226. Analysis of Laser Power Threshold for Self Oscillation in Thermo-Optically Excited Doubly Supported MEMS Beams Blocher,D.B., Rand,R.H., Zehnder,A.T. International Journal of Non-Linear Mechanics 57:10-15 (2013) 227. Shape Optimization of a Blunt Body Vibro-wind Galloping Oscillator Kluger, J.M., Moon, F.C.., Rand, R.H. Journal of Fluids and Structures 40:185-200 (2013) 228. About a class of nonlinear oscillators with amplitude-independent frequency I.Kovacic and R.Rand A. Nonlinear Dynamics 74:455-465 (2013) B. 12th Conference on Dynamical Systems - Theory and Applications (DSTA), Dec.2-5, 2013, Lodz, Poland C. Chapter 1 in "Applied Non-Linear Dynamical Systems" ed. J.Awrejcewicz, Springer, pp.1-10 (2014) D. Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014), July 6-11, 2014, Vienna, Austria 229. Hopf Bifurcations in Two-Player Delayed Replicator Dynamics E. Wesson and R. Rand A. paper no. DETC2014-35404 Proceedings of th ASME IDETC/CIE 2014, Aug.18-20, 2014, Buffalo NY 230. Dynamics of a System of Two Coupled Oscillators which are Driven by a Third Oscillator L. Lazarus and R. Rand A. paper no. DETC2014-34642 Proceedings of th ASME IDETC/CIE 2014, Aug.18-20, 2014, Buffalo NY B. Journal of Applied Nonlinear Dynamics 3:271-282 (2014) 231. A Model of Evolutonary Dynamics with Quasiperiodic Forcing E. Wesson and R. Rand A. Society for Experimental Mechanics (SEM) IMAC XXXIII Conference on Structural Dynamics February 2-5, 2015, Orlando FL B. Journal of Applied Nonlinear Dynamics 4:131-140 (2015) C. Procedia IUTAM 19:11-18 (2016) D. Chapter 14, pp.163-171 in "Nonlinear Dynamics, Volume 1", G.Kerschen editor, Springer 2016. 232. Coupled Parametrically Driven Modes in Synchrotron Dynamics A. Bernstein and R. Rand A. Society for Experimental Mechanics (SEM) IMAC XXXIII Conference on Structural Dynamics February 2-5, 2015, Orlando FL B. Chapter 8, pp.107-112 in "Nonlinear Dynamics, Volume 1", G.Kerschen editor, Springer 2016. 233. Hopf Bifurcations in Delayed Rock-Paper-Scissors Replicator Dynamics E. Wesson and R. Rand Dynamic Games and Applications 6:139-156 (2016) 234. Master-Slave Locking of Optomechanical Oscillators over a Long Distance S.Y. Shah, M. Zhang, R. Rand and M. Lipson Physical Review Letters 114, 113602 (2015) 235. Dynamics of a Delay Limit Cycle Oscillator with Self-Feedback L. Lazarus, M. Davidow and R. Rand A. Nonlinear Dynamics 82:481-488 (2015) B. Procedia IUTAM 19:152-160 (2016) 236. Hopf Bifurcations in Two-Strategy Delayed Replicator Dynamics E. Wesson, R. Rand and D. Rand International Journal of Bifurcation and Chaos 26(1) 1650006 (2016) 237. Dynamics of an Oscillator with Delay Parametric Excitation L. Lazarus, M. Davidow and R. Rand A. International Journal of Non-Linear Mechanics 78:66-71 (2016) B. International Conference on Structural Nonlinear Dynamics and Diagnosis, Marrakech, May 23-25,2016 238. Synchronization of Delay-Coupled Micromechanical Oscillators S.Y. Shah, M. Zhang, R. Rand and M. Lipson A. arXiv:1511.08536v1 (2015) 239. On Nonlinear Differential Equations with Delayed Self-Feedback S.M. Sah and R.H. Rand A. International Conference on Structural Nonlinear Dynamics and Diagnosis, Marrakech, May 23-25,2016 B. 24th International Congress of Theoretical and Applied Mechanics (ICTAM2016), Montréal, Canada, August 21-26,2016 C. arXiv:1601.01853v1 (2016) D. Journal of Applied Nonlinear Dynamics 5(4):471-484 (2016) E. Proceedings of the 5th International Conference on Nonlinear Dynamics, Sept. 27-30,2016, Kharkov, Ukraine 240. Delay-Coupled Mathieu Equations in Synchrotron Dynamics A. Bernstein and R. Rand Journal of Applied Nonlinear Dynamics 5(3):337-348 (2016) 241. Periodically Forced Delay Limit Cycle Oscillator L. Lazarus, M. Davidow and R. Rand A. International Journal of Non-Linear Mechanics 94:216-222 (2017) B. abstract no.1125-37-2875 in proceedings of the Joint Math Meetings, Jan.4-7,2017, Atlanta GA. 242. Delay-Differential Equations Applied to Queueing Theory Jamol Pender, Richard H. Rand and Elizabeth Wesson A. arXiv: 1610.01972v1.pdf (2016) B. Proceedings of 9th European Nonlinear Dynamics Conference (ENOC 2017), June 25-30, 2017, Budapest, Hungary C. International Journal of Bifurcation and Chaos 27(4) 1730016 (2017) 243. Low-power photothermal self-oscillation of bimetallic nanowires R. De Alba, T.S. Abhilash, R.H. Rand, H.G. Craighead and J.M. Parpia A. arXiv: 1610.07951v2.pdf (2016) B. Nano Letters 17(7):3995 (2017) 244. Analysis of a simplified MEMS oscillator Richard H. Rand, Alan T. Zehnder and B.Shayak Proceedings of 9th European Nonlinear Dynamics Conference (ENOC 2017), June 25-30, 2017, Budapest, Hungary 245. Hopf bifurcation in a delayed nonlinear Mathieu equation Alexander Bernstein, Si Mohamed Sah, Robert E. Meller and Richard H. Rand Proceedings of 9th European Nonlinear Dynamics Conference (ENOC 2017), June 25-30, 2017, Budapest, Hungary 246. Analysis of a remarkable singularity in a nonlinear DDE Matthew Davidow, B. Shayak and Richard H. Rand A. arXiv: 1701.00201v1 (2017) B. Proceedings of 9th European Nonlinear Dynamics Conference (ENOC 2017), June 25-30, 2017, Budapest, Hungary C. Nonlinear Dynamics 90:317-323 (2017) 247. An Asymptotic Analysis of Queues with Delayed Information and Time Varying Arrival Rates Jamol Pender, Richard H. Rand and Elizabeth Wesson A. arXiv: 1701.05443v1.pdf (2017) B. Nonlinear Dynamics (to appear, 2018) 248. Dynamics of Two Coupled van der Pol Oscillators with Delay Coupling Revisited Mark Gluzman and Richard Rand A. arXiv: 1705.03100v1.pdf (2017) B. Global Journal of Science Frontier Research (F) 17(5) 1-7 (2017) 249. Lossless crossing of a resonance stopband during tune modulation by synchrotron oscillations G.M. Wang, T. Shaftan, V. Smaluk, Y. Li and R. Rand New Journal of Physics, Vol.19 (2017) 250. Three ways of treating a linear delay differential equation Si Mohamed Sah and Richard H. Rand Chapter 14 in "Recent Trends in Applied Nonlinear Mechanics and Physics: Selected Papers from CSNDD 2016" editor Mohamed Belhaq (Springer) pp.251-257 (2017) 251. Delay-Coupled Mathieu Equations in Synchrotron Dynamics Revisited: Delay Terms in the Slow Flow A. Bernstein and R. Rand Journal of Applied Nonlinear Dynamics (to appear, 2018) 252. Infinite limit cycle bifurcation in a delayed differential equation Si Mohamed Sah, B.Shayak and Richard H. Rand abstract in the fourth International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD'2018) June 25-27, 2018, Tangier, Morocco (2018) 253. Dynamics of a System of Two Coupled MEMS Oscillators Richard H. Rand, Alan T. Zehnder and B.Shayak A. abstract in the fourth International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD'2018) June 25-27, 2018, Tangier, Morocco (2018) B. abstract in IUTAM (International Union of Theoretical and Applied Mechanics) Symposium on Exploiting nonlinear dynamics for engineering systems (ENOLIDES), July 15-19, 2018, Novi Sad, Serbia (2018) 254. Mathieu’s Equation and Its Generalizations: Overview of Stability Charts and Their Features Ivana Kovacic, Richard Rand and Si Mohamed Sah Applied Mechanics Reviews vol.70, 020802 (2018)