- Axisymmetric
Vibrations of Prolate Spheroidal Shells (PDF )
F.DiMaggio, R.Rand
J. Acoustical Soc. Am. 40:179-186 (1966)
- Vibrations
of Fluid-Filled Spherical and Spheroidal Shells (PDF )
R.Rand, F.DiMaggio
J. Acoustical Soc. Am. 42:1278-1286 (1967)
- 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)
- Torsional
Vibrations of Elastic Prolate Spheroids (PDF )
R.H.Rand
J. Acoustical Soc. Am. 44:749-751 (1968)
- A
Perturbation Solution for the Stability of the Triangular Points in
the Elliptic Restricted Problem (PDF )
K.T.Alfriend, R.H.Rand
J. Astronautical Sciences
15:105-109 (1968)
- On
the Stability of a Differential Equation with Application
to the Vibrations of a Particle in the Plane (PDF )
R.H.Rand, S.F.Tseng
J. Applied Mechanics 36:311-313
(1969)
- Stability
of the Triangular Points in the Elliptic Restricted Problem of Three
Bodies (PDF
)
K.T.Alfriend, R.H.Rand
AIAA J. 7:1024-1028
(1969)
- On
the Stability of the Vibrations of Two Coupled Particles in the Plane (PDF )
R.H.Rand, S.F.Tseng
J. Applied Mechanics 36:417-419
(1969)
- 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)
- On
the Stability of Hill's Equation with Four Independent Parameters (PDF )
R.H.Rand
J. Applied Mechanics
36:885-886 (1969)
- Vibratory
Fruit Harvesting: A Linear Theory of Fruit-Stem Dynamics (PDF)
J.R.Cooke,
R.H.Rand
J. Agricultural Eng. Res.
14:195-209 (1969)
- On
the Stability of a Differential Equation with Application to
Parametrically Excited Systems
R.H.Rand,
H.Simon (PDF)
J. Applied Mechanics
37:218-220 (1970)
- On
the Stability of the Vibrations of a Particle in the Plane Restrained by
Two Non-Identical Springs (PDF)
R.H.Rand,
S.F.Tseng
Int. J. Nonlinear Mechanics
5:1-9 (1970)
- Vibratory
Fruit Harvesting: A Nonlinear Theory of Fruit-Stem Dynamics (PDF)
R.H.Rand,
J.R.Cooke
J. Agricultural Eng. Res.
15:347-363 (1970)
- Nonlinear
Normal Modes in Two Degree of Freedom Systems (PDF)
R.H.Rand
J. Applied Mechanics
38:561 (1971)
- A
Higher Order Approximation for Nonlinear Normal Modes in Two Degree of Freedom
Systems (PDF)
R.H.Rand
Int. J. Nonlinear Mechanics
6:545-547 (1971)
- Nonlinear
Vibrations of Two Degree of Freedom Systems with Repeated Linearized
Natural Frequencies (PDF)
R.Rand, R.Vito
J. Applied Mechanics
39:296-297 (1972)
- A
Mathematical Interpretation of Vibratory Fruit Harvesting: A Tutorial
Paper (PDF)
J.R.Cooke,
R.H.Rand
ASAE paper no.72-567 presented at
1972 Winter meeting of ASAE
- Geometrical
Dynamics: A New Approach to Periodic Orbits Around L4 (PDF)
R.Rand, W.Podgorski
Celestial Mechanics
6:416-420 (1972)
- Nonlinear
Normal Modes in Dynamical Systems with Non-Euclidean Metrics (PDF)
R.H.Rand,
G.Nadig
Proc. Fourth Canadian Congress
Applied Mechanics, pp.519-520 (1973)
- The
Geometrical Stability of Nonlinear Normal Modes in Two Degree of Freedom
Systems (PDF)
R.H.Rand
Int. J. Nonlinear Mechanics
8:161-168 (1973)
- A
Mathematical Study of Resonance in Intact Fruits and Vegetables Using a
3-Media Elastic Sphere Model (PDF)
J.R.Cooke,
R.H.Rand
J. Agricultural Eng. Res. 18:141-157 (1973)
- A
Direct Method for Nonlinear Normal Modes (PDF)
R.H.Rand
Int. J. Nonlinear Mechanics
9:363-368 (1974)
- The
Wheel Shimmy Problem: Its Relationship to Wheel and Road Irregularities
(PDF)
W.A.Podgorski, A.I.Krauter, R.H.Rand
Vehicle System Dynamics 4:9-41
(1975)
- Gaseous
Diffusion in the Leaf Interior (PDF)
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)
- A
Finite Element Shell Analysis of Guard Cell Deformations (PDF)
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)
- A
Hydrodynamical Model of Bordered Pits in Conifer Tracheids
(PDF)
D.C.Chapman, R.H.Rand, J.R.Cooke
J. Theoretical Biology 67:11-24
(1977)
- Visual
Perception, Invariants, Neural Nets
H.D.Block,
D.C.Lewis, R.H.Rand
abstract in 1977 IEEE Int. Symp.
Information Theory, p.85
- Fluid
Dynamics of Phloem Flow: An Axisymmetric Model (PDF)
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)
- 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
- The
Stability of Bifurcating Periodic Solutions in a Two Degree of
Freedom Nonlinear System (PDF )
L.A.Month, R.H.Rand
J. Applied Mechanics 44:782-784
(1977)
- A
Theoretical Analysis of CO2 Absorption in Sun Versus Shade Leaves
(PDF
)
R.H.Rand
J. Biomechanical Eng. 100:20-24 (1978)
- 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)
- The
Dynamics of an Evaporating Meniscus (PDF )
R.H.Rand
Acta Mechanica
29:135-146 (1978)
- 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
- Limb
Impulse Harvesting, Part I, Finite Element Analysis (PDF )
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)
- On
the Existence and Bifurcation of Minimal Normal Modes (PDF )
T.L.Johnson, R.H.Rand
Int. J. Nonlinear Mechanics 14:1-12
(1979)
- Mathematical
Analysis of Pressure Chamber Efflux Curves (PDF )
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)
- Mathematical
Analysis of Cell CO2 Exchange Under High CO2 Concentrations (PDF )
T.R.Sinclair, R.H.Rand
Photosynthetica
13:239-244 (1979)
- Diffusion
Resistance Models (PDF )
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
- A
Fluid-filled Spherical Shell Model of the Thermoelastic Behavior of
Avian Eggs (PDF )
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)
- An
Application of the Poincare Map to the Stability of Nonlinear Normal
Modes (PDF
)
L.A.Month, R.H.Rand
J. Applied Mechanics 47:645-651
(1980)
- Fluid
Dynamics of Phloem Flow: Part II, An Approximate Formula (PDF )
R.H.Rand, S.K.Upadhyaya, J.R.Cooke
Trans. ASAE 23:581-585 (1980)
- A
Comprehensive Model for CO2 Assimilation in Leaves (PDF )
R.H.Rand, J.R.Cooke
Trans. ASAE 23:601-608 (1980)
- Stomatal
Dynamics (PDF
)
S.K.Upadhyaya, R.H.Rand, J.R.Cooke
in 1980 Advances in Bioengineering, ed. V.C.Mow, ASME, pp.185-188
- A
Mathematical Model of the Effects of CO2 on Stomatal Dynamics (PDF )
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)
- Bifurcation
of Periodic Motions in Two Weakly Coupled van der Pol Oscillators (PDF )
R.H.Rand, P.J.Holmes
Int. J. Nonlinear Mechanics
15:387-399 (1980)
- The
Role of Stomatal Oscillations on Transpiration, Assimilation and
Water-Use Efficiency of Plants (PDF )
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)
- Variation
in Young's Modulus Along Apple Limbs (PDF )
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)
- 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)
- Hopf
Bifurcation in a Stomatal Oscillator (PDF )
R.H.Rand, S.K.Upadhyaya, J.R.Cooke, D.W.Storti
J. Math. Biology 12:1-11
(1981)
- The
Nature of the Coupling Between Segmental Oscillators of the Lamprey
Spinal Generator for Locomotion: A Mathematical Model (PDF )
A.H.Cohen, P.J.Holmes, R.H.Rand
J. Math. Biology 13:345-369
(1982)
- Coupled
Oscillators as a Model for Nonlinear Parametric Excitation (PDF )
C.A.Holmes, R.H.Rand
Mechanics Res. Comm. 8:263-268 (1981)
- 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
- Dynamics
of Fruit Tree Trunk Impact (PDF )
S.K.Upadhyaya, R.H.Rand, J.R.Cooke
Trans. ASAE 24:846-855 (1981)
- 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)
- Bifurcation
of 4:1 Subharmonics in the Nonlinear Mathieu Equation (PDF )
L.A.Month, R.H.Rand
Mechanics Res. Comm. 9:233-240 (1982)
- Dynamics
of Two Strongly Coupled Van der Pol Oscillators (PDF )
D.W.Storti, R.H.Rand
Int. J. Nonlinear Mechanics
17:143-152 (1982)
- Dynamics
of Coupled Stomatal Oscillators (PDF )
R.H.Rand, D.W.Storti, S.K.Upadhyaya,
J.R.Cooke
J. Math. Biology 15:131-149
(1982)
- Fluid
Mechanics of Green Plants (PDF )
R.H.Rand
Ann. Rev. Fluid Mech. 15:29-45 (1983)
- muMath
Fix
R.H.Rand
letter in 80 Micro 40:16 (1983)
- Book
Review of "Classical Mechanics" by E.A.Desloge
R.H.Rand
J. Applied Mechanics 50:478 (1983)
- Book:
Computer Algebra in Applied Mathematics: An Introduction to MACSYMA
R.H.Rand
Research Notes in Mathematics No.94, 181pp.
Pitman Publishing Inc. (1984)
- 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)
- Parametric
Stiffness Control of Flexible Structures (PDF )
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)
- 1:1
and 2:1 Phase Entrainment in a System of Two Coupled Limit Cycle
Oscillators (PDF )
W.L.Keith, R.H.Rand
J. Math. Biology 20:133-152
(1984)
- Normal
Form and Center Manifold Calculations on MACSYMA (PDF )
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)
- Derivation
of the Hopf Bifurcation Formula using Lindstedt's (PDF )
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)
- Stability
of A Rigid Body with an Oscillating Particle: An Application of MACSYMA
(PDF )
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)
- Eye
Movements and Enhancement of Edges (PDF )
S.D.Woods, R.H.Rand, H.D.Block, D.C.Lewis
J. Math. Biology 21:273-283
(1985)
- Dynamics
of Stomate Fields in Leaves (PDF )
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)
- Dynamics
of Two Strongly Coupled Relaxation Oscillators (PDF )
D.W.Storti, R.H.Rand
SIAM J. Applied Math. 46:56-67 (1986)
- Dynamics
of a System Exhibiting the Global Bifurcation of a Limit Cycle at
Infinity (PDF
)
W.L.Keith, R.H.Rand
International J. Nonlinear Mechanics 20:325-338
(1985)
- Determinacy
of Degenerate Equilibria with Linear Part x'=y, y'=0 Using MACSYMA (PDF)
R.H.Rand, W.L.Keith
Applied Mathematics and Computation 21:1-19
(1987)
- Numerical
Corrections of Wu's Coefficients for Scattering of High-Frequency Waves
from Spheres and Cylinders (PDF )
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)
- Teaching
Engineering Analysis Using Symbolic Algebra and Calculus (PDF )
R.H.Lance, R.H.Rand, F.C.Moon
Engineering Education 76:97-101 (1985)
- The
Transition from Phase Locking to Drift in a System of Two Weakly Coupled
Van der Pol Oscillators (PDF )
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)
- Stomatal
Dynamics in the Leaves of Green Plants (PDF )
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)
- 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)
- 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)
- Lie
Transforms Applied to a Nonlinear Parametric Excitation Problem (PDF )
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)
- Book:
Perturbation Methods, Bifurcation Theory and Computer Algebra (PDF)
R.H.Rand, D.Armbruster
Applied Mathematical Sciences No.65, 243 pp.
Springer Verlag (1987)
- A
Simplified Model of Coupled Relaxation Oscillators (PDF )
D.Storti, R.H.Rand
International J. Nonlinear Mechanics 22:283-289
(1987)
- Systems
of Coupled Oscillators as Models of Central Pattern Generators (PDF )
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)
- Computer
Algebra Implementation of Lie Transforms for Hamiltonian Systems:
Application to the Nonlinear Stability of L4 (PDF )
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)
- 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)
- Integrability
of Plane Quadratic Vector Fields (PDF )
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)
- Subharmonic
Entrainment of a Forced Relaxation Oscillator (PDF )
D.Storti, R.H.Rand
International J. Nonlinear Mechanics 23:231-239
(1988)
- The
Use of Symbolic Computation in Perturbation Analysis (PDF )
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)
- The
Transition to Chaos in a Simple Mechanical System (PDF )
S.W.Shaw, R.H.Rand
International J. Nonlinear Mechanics 24:41-56
(1989)
- Book
Review of "Manifolds and Mechanics" by A.Jones, A.Gray and R.Hutton
R.H.Rand
SIAM Review 31:157-158 (1989)
- Analytical
Approximation for Period-Doubling Following a Hopf
Bifurcation (PDF )
R.H.Rand
Mechanics Research Communications 16:117-123
(1989)
- Computer
Algebra and the Elliptic Restricted Problem of Three Bodies (PDF )
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
- Degenerate
Homoclinic Cycles in Perturbations of Quadratic Hamiltonian Systems (PDF )
J.Guckenheimer, R.Rand, D.Schlomiuk
Nonlinearity 2:405-418 (1989)
- Perturbation
Methods and Computer Algebra (PDF )
R.Rand
Chapter 6 in Symbolic Computation: Applications
to Scientific Computing, ed. R.Grossman, SIAM,
pp.139-151 (1989)
- Resonance
in a High-Speed Flexible-Arm Robot (PDF )
M.F.Golnaraghi, F.C.Moon, R.H.Rand
Dynamics and Stability of Systems 4:169-188
(1989)
- Analytical
Model of Corneal Surgery (PDF 1, 2 )
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)
- Computer
Algebra, Elliptic Functions and Chaos(PDF )
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)
- Averaging
Using Elliptic Functions: Approximation of Limit Cycles (PDF )
V.T.Coppola, R.H.Rand
Acta Mechanica
81:125-142 (1990)
- Bifurcations
and Chaos in a Forced Zero-Stiffness Impact Oscillator (PDF )
G.X.Li, R.H.Rand, F.C.Moon
International J. Nonlinear Mechanics
25:417-432 (1990)
- Spinup
Through Resonance of Rotating Unbalanced Systems with Limited Torque (PDF)
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
- Using
Computer Algebra to Handle Elliptic Functions in the Method of Averaging
(PDF )
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)
- MACSYMA
Program to Implement Averaging Using Elliptic Functions (PDF )
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)
- Chaos
in a System with a Periodically Disappearing Separatrix (PDF )
V.T.Coppola, R.H.Rand
Nonlinear Dynamics 1: 401-420 (1990)
- Chaotic
Motions of a Constrained Pipe Conveying Fluid: Comparison Between
Simulation, Analysis, and Experiment (PDF )
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)
- Spinup
Dynamics of Axial Dual-Spin Spacecraft (PDF )
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)
- 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
- Dynamics
of Spinup Through Resonance (PDF )
R.H.Rand, R.J.Kinsey, D.L.Mingori
International J. Nonlinear Mechanics
27:489-502 (1992)
- Bruno's
Days at Cornell (in honor of B.A.Boley's 65th
birthday)(PDF
)
R.H.Rand
J.Thermal
Stresses 15:v-vii (1992)
J.Thermal
Stresses 40:s8-s9 (2017)
- Normal
Modes and Global Dynamics of a Two-Degree of Freedom Nonlinear System -
I. Low Energies (PDF )
A.F.Vakakis, R.H.Rand
International J. Nonlinear Mechanics
27:861-874 (1992)
- Normal
Modes and Global Dynamics of a Two-Degree of Freedom Nonlinear System -
II. High Energies (PDF )
A.F.Vakakis, R.H.Rand
International J. Nonlinear Mechanics
27:875-888 (1992)
- Free
Vibrations of a Thin Elastica by Normal Modes
(PDF
)
C.H.Pak, R.H.Rand, F.C.Moon
Nonlinear Dynamics 3:347-364 (1992)
- Bifurcation
of Nonlinear Normal Modes in a Class of Two Degree of Freedom Systems (PDF )
R.H.Rand, C.H.Pak, A.F.Vakakis
Acta Mechanica
[Suppl] 3:129-145 (1992)
- Chaos
and Symbol Sequences in Systems with a Periodically-Disappearing
Figure-Eight Separatrix (PDF )
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)
- The
Dynamics of Resonant Capture (PDF )
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)
- Book:
Topics in Nonlinear Dynamics with Computer Algebra
R.H.Rand
229pp., Gordon and Breach (1994)
- Nonlinear
Controller to Reduce Resonance Effects During Despin
of a Dual-Spin Spacecraft through Precession Phase Lock (PDF )
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)
- Oscillatory
Reaction-Diffusion Equations on Rings (PDF )
S.Lubkin, R.Rand
J.Math.Biol.
32:617-632 (1994)
- Perturbation
Methods and Computer Algebra in Mechanics (PDF )
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)
- Resonant
Capture in a System of Two Coupled Homoclinic Oscillators (PDF )
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)
- A
Perturbation Approach to Resonant Capture (PDF )
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)
- Limited
Torque Spinup of an Unbalanced Rotor on an
Elastic Support (PDF)
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
- Dynamics
of a Nonlinear Parametrically-Excited Partial Differential Equation (PDF )
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)
- A
Quasiperiodic Mathieu Equation (PDF)
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
- Fluid
Mechanics in Plant Biology (PDF )
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)
- Dynamics
of a Nonlinear Parametrically-Excited PDE: 2-Term Truncation (PDF )
R.H.Rand
Mechanics Research Communications 23: 283-289
(1996)
- Book
Review of "Applied Nonlinear Dynamics: Analytical, Computational
and Experimental Methods" by A.Nayfeh and
B.Balachandran (PDF
)
R.H.Rand
SIAM Review 38:350-352 (1996)
- Synchronous
Locking of Tidally Evolving Satellites (PDF )
B.Gladman, D.D.Quinn, P.Nicholson, R.Rand
Icarus 122:166-192 (1996)
- Book
Review of "Perturbation Methods in the Computer Age", by D.C.Wilcox
R.H.Rand
SIAM Review 38:539-540 (1996)
- Transition
Curves in the Quasiperiodic Mathieu Equation (PDF1,2)
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).
- A
Mathematical Model of a Placido Disk Keratometer
and its Implications for Recovery of Corneal Topography (PDF )
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).
- Impact
Dynamics of a Supercavitating Underwater
Projectile (PDF
)
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)
- Modeling
the Pumping of a Swing (PDF )
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)
- Dynamics
of a Quasiperiodically Forced Mathieu
Oscillator (PDF )
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)
- Nonlinear
Modal Analysis of a Cracked Beam (PDF )
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)
- The
Dynamics of the Celt with Second Order Averaging and Computer Algebra (PDF )
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)
- Dynamics
of Two Coupled van der Pol Oscillators with Delay Coupling (PDF1,2 )
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)
- Relaxation
Oscillations in Tidally Evolving Satellites (PDF )
D.Quinn, B.Gladman, P.Nicholson, R.Rand
Celestial Mechanics and Dynamical Astronomy
67:111-130 (1997)
- 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)
- Resonant
Capture and Separatrix Crossing in Dual-Spin Spacecraft (PDF )
R.Haberman, R.Rand, T.Yuster
Nonlinear Dynamics 18:159-184 (1999)
- Nonlinear
Normal Modes in a System with Nonholonomic Constraints (PDF1,2 )
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)
- Sequences
of Orbits and the Boundaries of the Basin of Attraction for Two Double (PDF )
Heteroclinic Orbits
R.Haberman, R.Rand
International J. Nonlinear Mechanics
34:1047-1059 (1999)
- Nonlinear
Dynamics of the Bombardier Beetle (PDF )
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)
- On
the Torus Flow Y'=A+B COS Y+C COS X and its Relation to the
Quasiperiodic Mathieu Equation (PDF)
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)
- Theoretical
Study of a Submarine Towed-Array Lifting Device (PDF 1, 2 )
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)
- The
Dynamics of Resonant Capture (PDF )
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)
- Relaxing
Nonholonomic Constraints (PDF )
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)
- Bifurcations
in a Mathieu Equation with Cubic Nonlinearities (PDF1,2 )
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)
- Dynamics
of Two Time-Delay Coupled Relaxation Oscillators of the van der Pol Type
(PDF1, 2 )
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. Comm. Pure Applied Analysis 2:567-577 (2003)
- A
Mathematical Model of a Retinal Oscillator (PDF )
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)
- Pattern
Formation in a Parametrically-Excited P.D.E. (PDF )
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)
- Dynamics
of Towed Cables During Transient Motions (PDF )
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)
- Perturbation
Solution for Secondary Bifurcation in the Quadratically-Damped Mathieu
Equation (PDF )
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 Journal of Nonlinear Mechanics
39:491-502 (2004)
- Global
Behavior of a Nonlinear Quasiperiodic Mathieu Equation (PDF1,2 )
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)
- An
Examination of Wake Oscillator Models for Vortex-Induced Vibrations (PDF )
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)
- Subharmonic
Resonance in the Nonlinear Mathieu Equation (PDF )
R.S.Zounes and R.H.Rand
International J. Nonlinear Mechanics 37:43-73
(2002)
- Non-linear
Modal Interactions in the Oscillations of a Liquid Drop in a
Gravitational Field (PDF )
I.Rozhkov, A.F.Vakakis and R.H.Rand
International J. Nonlinear Mechanics 36:803-812
(2001)
- A
Bifurcation Analysis of the Quadratically Damped Mathieu Equation and
Its Applications to the Dynamics of Submarine Towed-Array Lifting
Devices (PDF)
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)
- Dynamics
of Two van der Pol Oscillators Coupled via a Bath(PDF)
E.Camacho, R.Rand, H.Howland
A. Abstract in Proceedings of the 14th U.S.
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)
- Slow
Passage Through Resonance in Mathieu's Equation(PDF1,2)
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. Journal of Vibration and Control 9:685-707
(2003)
- Bifurcations
in a Mathieu Equation with Cubic Noninearities:
Part II(PDF)
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)
- Nonlinear
Effects on Coexistence Phenomenon in Parametric Excitation (PDF1,2)
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)
- Analysis
of a Nonlinear Partial Difference Equation and Its Application to
Cardiac Dynamics (PDF)
M.D.Stubna, R.H.Rand and R.F.Gilmour
J.Difference
Equations and Applications 8:1147-1169 (2002)
- Book
Review of "Analytical Mechanics" by A.I.Lurie
(PDF)
R.H.Rand
SIAM Review 45:156-159 (2003)
- Tree
Size Frequency Distributions, Plant Density, Age and Community
Disturbance (PDF)
K.J.Niklas, J.J.Midgley and R.H.Rand
Ecology Letters 6:405-411 (2003)
- 2:2:1
Resonance in the Quasiperiodic Mathieu Equation (PDF1, 2)
R.Rand, K.Guennoun and M.Belhaq
A. Proceedings of the 2003 ASME Design
Engineering Technical Conferences, 19th Biennial Conference on
Mechanical Vibrations and Noise, Chicago, IL, Sept. 2-6, 2003, paper
no.DETC2003-48563 (CD-ROM)
B. Nonlinear Dynamics 31:367-374 (2003)
- Nonlinear
Dynamics of a System of Coupled Oscillators with Essential Stiffness
Nonlinearities (PDF1,2)
A.F.Vakakis and R.H.Rand
A. Proceedings of the 2003 ASME Design
Engineering Technical Conferences, 19th Biennial Conference on
Mechanical Vibrations and Noise, Chicago, IL, Sept. 2-6, 2003, paper
no.DETC2003-48446 (CD-ROM)
B. International Journal of Nonlinear Mechanics
39:1079-1091 (2003)
- Hopf
Bifurcation in a Disk-Shaped NEMS (PDF)
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 Vibrations
and Noise, Chicago, IL, Sept. 2-6, 2003, paper no.DETC2003-48516
(CD-ROM)
- Size-dependent
Species Richness: Trends Within Plant Communities and Across Latitude (PDF)
K.J.Niklas, J.J.Midgley and R.H.Rand
Ecology Letters 6:631-636 (2003)
- Book
Review of "Chaotic Synchronization: Applications to Living
Systems" by Mosekilde, Maistrenko and Postnov (PDF)
R.H.Rand
SIAM Review 45:617-618 (2003)
- Frequency
Entrainment for Micromechanical Oscillator (PDF)
M.Zalalutdinov, K.L.Aubin, M.Pandey, A.T.Zehnder, R.H.Rand, H.G.Craighead, J.M.Parpia
Applied Physics Letters 83:3281-3283 (2003)
- Lecture
Notes on Nonlinear Vibrations (PDF)
R.H.Rand
Published on-line by The Internet-First
University Press (2004)
http://dspace.library.cornell.edu/handle/1813/79
- Limit
Cycle Oscillations in CW Laser-Driven NEMS (PDF)
K.Aubin, M.Zalalutdinov, T.Alan, R.B.Reichenbach, R.Rand, A.Zehnder, J.Parpia and H.Craighead
J.MEMS 13:1018-1026 (2004)
- Parametric
Resonance of Hopf Bifurcation (PDF1, 2
)
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
- 2:1:1
Resonance in the Quasi-Periodic Mathieu Equation (PDF1, 2)
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
- Synchronization
in the Winfree Model of Coupled Nonlinear Oscillators (PDF1,
2)
D.D.Quinn, R.H.Rand and S.Strogatz
A. ENOC 2005 Conference, Eindhoven, Netherlands,
August 7-12, 2005 (CD-ROM)
B. Physical Review E 75:036218 (2007)
- Self-thinning
and Community Persistence in a Simple Size-structured Dynamical Model of
Plant Growth (PDF)
F.Dercole, K.Niklas and R.Rand
J.Math.Biology
51:333-354 (2005)
- Coexistence
Phenomenon in Autoparametric Excitation of Two
Degree of Freedom Systems (PDF1, 2)
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
- Dynamics
of Three Coupled van der Pol Oscillators with Application to Circadian
Rhythms (PDF1,
2)
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
B. Communications in Nonlinear Science and
Numerical Simulation 12:794-803 (2007)
- Frequency
Locking in a Forced Mathieu-van der Pol-Duffing System (PDF1,
2,
3)
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
B. Proceedings of the 2007 ASME International
Design Engineering Technical Conferences, Sept.4-7, 2007, Las Vegas, NV,
paper no. DETC2007-34411
C. Nonlinear Dynamics 54:3-12 (2008)
- Third-Order
Intermodulation in a Micromechanical Thermal Mixer (PDF)
R.B.Reichenbach, M.Zalalutdinov, K.L.Aubin,
R.Rand, B.H.Houston,
J.M.Parpia and H.G.Craighead
J.MEMS 14:1244-1252 (2005)
- The
Damped Nonlinear Quasiperiodic Mathieu Equation Near 2:2:1 Resonance (PDF)
N. Abouhazim, R.H.
Rand and M. Belhaq
Nonlinear Dynamics 45:237-247 (2006)
- Hopf
Bifurcation Formula for First Order Differential-Delay Equations (PDF)
R. Rand and A. Verdugo
Communications in Nonlinear Science and
Numerical Simulation 12:859-864 (2007)
- Hopf
Bifurcation in a DDE Model of Gene Expression (PDF1, 2)
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
- Center
Manifold Analysis of a DDE Model of Gene Expression (PDF)
A. Verdugo and R. Rand
Communications in Nonlinear Science and
Numerical Simulation 13:1112-1120 (2008)
- Dynamics
of Four Coupled Phase-Only Oscillators (PDF)
R. Rand and J. Wong
Communications in Nonlinear Science and
Numerical Simulation 13:501-507 (2008)
- Analysis
of Frequency Locking in Optically Driven MEMS Resonators (PDF)
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)
- Stability
of Strongly Nonlinear Normal Modes (PDF)
G. Recktenwald and R.
Rand
Communications in Nonlinear Science and
Numerical Simulation 12:1128-1132 (2007)
- Perturbation
Analysis of Entrainment in a Micromechanical Limit Cycle Oscillator (PDF)
M. Pandey, R. Rand and A. Zehnder
Communications in Nonlinear Science and
Numerical Simulation 12:1291-1301 (2007)
- Trigonometric
Simplification of a Class of Conservative Nonlinear Oscillators (PDF)
G. Recktenwald and R.
Rand
Nonlinear Dynamics 49:193-201 (2007)
- Two
Models for the Parametric Forcing of a Nonlinear Oscillator (PDF)
N. Abouhazim, M. Belhaq and R.H. Rand
Nonlinear Dynamics 50:147-160 (2007)
- 2:1
Resonance in the Delayed Nonlinear Mathieu Equation (PDF)
T.M. Morrison and R.H. Rand
Nonlinear Dynamics 50:341-352 (2007)
- Dynamics
of Three Coupled Limit Cycle Oscillators with Application to Artificial
Intelligence (PDF)
L. Mendelowitz, A.
Verdugo and R. Rand
Communications in Nonlinear Science and
Numerical Simulation 14:270-283 (2009)
- Effect
of Quasiperiodic Gravitational Modulation on the Stability of a Heated
Fluid Layer (PDF)
T. Boulal, S. Aniss, M. Belhaq and R.
Rand
Physical Review E 76:056320 (2007)
- Autoparametric
Quasiperiodic Excitation (PDF)
S.M. Sah, G. Recktenwald, R. Rand, M. Belhaq
International J. Nonlinear Mechanics 43:320-327
(2008)
- Shell
Analysis of Elliptical Guard Cells in Higher Plants: A Review (PDF)
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)
- DDE
Model of Gene Expression: A Continuum Approach (PDF1, 2)
A. Verdugo and R.H. Rand
A. Proceedings of the ASME 2008 Dynamic Systems
and Control Conference, 20-22 October 2008, Ann Arbor, MI
B. Proceedings of the ASME 2008 IMECE, 2-6
November 2008, Boston, MA
- Dynamics
of a Ring of Three Coupled Relaxation Oscillators (PDF)
J. Bridge, L. Mendelowitz,
R. Rand, S. Sah, A. Verdugo
Communications in Nonlinear Science and
Numerical Simulation 14:1598-1608 (2009)
- Three
Oscillator Model of the Heartbeat Generator (PDF)
M. Suchorsky and R.
Rand
Communications in Nonlinear Science and Numerical
Simulation 14:2434-2449 (2009)
- Dynamics
of a Ring Network of Phase-Only Oscillators (PDF)
J. Bridge, R. Rand, S.M. Sah
Communications in Nonlinear Science and Numerical
Simulation 14:3901-3913 (2009)
- Slow
Passage Through Multiple Parametric Resonance Tongues (PDF)
J. Bridge, R. Rand, S.M. Sah
J. Vibration and Control 15:1581-1600 (2009)
- Origin
of Arrhythmias in a Heart Model (PDF)
H. Sheheitli and R.
Rand
Communications in Nonlinear Science and
Numerical Simulation 14:3707-3714 (2009)
- Dynamics
of Microbubble Oscillators with Delay Coupling (PDF1,
2,
3)
C.R. Heckman, S.M. Sah
and R.H. Rand
A. Proceedings of ASME 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
- Dynamics
of a Model of Two Delay-Coupled Relaxation Oscillators (PDF)
R.E. Ruelas and R.H. Rand
Communications in Nonlinear Science and
Numerical Simulation 15:1980-1988 (2010)
- Fractional
Mathieu Equation (PDF1, 2)
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)
- Using
Delay to Quench Undesirable Vibrations (PDF)
M.K.Suchorsky, S.M.Sah and R.H.Rand
Nonlinear Dynamics 62:407-416 (2010)
- A
Digital Model of Coupled Oscillators (PDF)
R.E. Ruelas and R.H. Rand
Communications in Nonlinear Science and
Numerical Simulation 16:1135-1139 (2011)
- Dynamics
of Three Coupled Limit Cycle Oscillators with Vastly Different
Frequencies (PDF1, 2)
H. Sheheitli and R.H.
Rand
A. Nonlinear Dynamics 64:131-145 (2011)
B. Proceedings of European Nonlinear
Oscillations Conference (ENOC) 2011, July 24-29, 2011, Rome, Italy
- Anchor
Deformations Drive Limit Cycle Oscillations in Interferometrically
Transduced MEMS Beams (PDF1, 2)
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)
- Evolutionary
Dynamics of a System with Periodic Coefficients (PDF)
R.H. Rand, M. Yazhbin
and D.G. Rand
Communications in Nonlinear Science and
Numerical Simulation 16:3887-3895 (2011)
- Differential-Delay
Equations (PDF)
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)
- Multiple
Limit Cycles in Laser Interference Transduced Resonators (PDF1,
2)
D.B. Blocher, R.H. Rand, A.T. Zehnder
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)
- A
Pair of van der Pol Oscillators Coupled by Fractional Derivatives (PDF)
M.K. Suchorsky and
R.H. Rand
Nonlinear Dynamics 69:313-324 (2012)
- Nonlinear
Parametric Excitation of an Evolutionary Dynamical System (PDF)
R.E.Ruelas, D.G.Rand and R.H.Rand
J. Mechanical Engineering science (Proceedings
Inst. Mech. Eng., Part C) 226:1912-1920 (2012)
- Dynamics
of a Mass-Spring-Pendulum System with Vastly Different Frequencies (PDF1, 2)
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)
- On
the Dynamics of a Thin Elastica (PDF)
H.Sheheitli and R.H.Rand
International J Nonlinear Mechanics 47:99-107
(2012)
- Center
Manifold Reduction of the Hopf-Hopf
Bifurcation in a Time-delay System (PDF1, 2, 3)
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)
- BOOK:
Lecture Notes on Nonlinear Vibrations (new edition) (PDF)
R.H.Rand
Published on-line by The Internet-First
University Press (2012)
http://ecommons.library.cornell.edu/handle/1813/28989
- Dynamics
of microbubble oscillators with delay coupling (PDF)
C.R.Heckman and R.H.Rand
Nonlinear Dynamics 71:121-132 (2013)
- Straight-line
Backbone Curve (PDF)
I.Kovacic and R.Rand
Communications in Nonlinear Science and
Numerical Simulation 18:2281-2288 (2013)
- Parametric
Excitation and Evolutionary Dynamics (PDF)
R.E.Ruelas, D.G.Rand and R.H.Rand
J. Applied Mechanics 80, 051013 (2013) (6
pages); doi: 10.1115/1.4023473
- Alternate
Models of Replicator Dynamics (PDF1, 2)
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.
- Entrainment
of Micromechanical Limit Cycle Oscillators in the Presence of Frequency
Instability (PDF)
Blocher,D.B., Zehnder,A.T. and Rand,R.H.
J. Microelectromechanical Systems 22:835-845
(2013)
- Disappearance
of Resonance Tongues (PDF1,
2)
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)
- Two
Paths to Isochronicity in a Class of One
Degree of Freedom Oscillators (PDF)
I.N.Kovacic and R.H.Rand
paper no. DETC2013-12070
Proceedings of ASME 2013 IDETC/CIE 2013, August
4-7, 2013, Portland, OR.
- Analysis
of Laser Power Threshold for Self Oscillation
in Thermo-Optically Excited Doubly Supported MEMS Beams (PDF)
Blocher,D.B., Rand,R.H., Zehnder,A.T.
International J Nonlinear Mechanics 57:10-15
(2013)
- Shape
Optimization of a Blunt Body Vibro-wind Galloping Oscillator (PDF)
Kluger, J.M., Moon, F.C.. and Rand, R.H.
Journal of Fluids and Structures 40:185-200
(2013)
- About
a class of nonlinear oscillators with amplitude-independent frequency
(PDF1,
2, 3, 4)
I.Kovacic and R.Rand
A. Nonlinear Dynamics 74:455-465 (2013)
B. 12th Conference on Dynamical Systems,
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
- Hopf
Bifurcations in Two-Player Delayed Replicator Dynamics (PDF)
E. Wesson and R. Rand
Proceedings of th
ASME IDETC/CIE 2014, Aug.18-20, 2014, Buffalo NY
- Dynamics
of a System of Two Coupled Oscillators which are Driven by a Third
Oscillator (PDF1,
2)
L. Lazarus and R. Rand
A. Proceedings of th
ASME IDETC/CIE 2014, Aug.18-20, 2014, Buffalo NY
B. Journal of Applied Nonlinear Dynamics
3:271-282 (2014)
- A
Model of Evolutonary Dynamics with
Quasiperiodic Forcing (PDF1, 2, 3, 4)
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
- Coupled
Parametrically Driven Modes in Synchrotron Dynamics (PDF1,
2)
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
- Hopf
Bifurcations in Delayed Rock-Paper-Scissors Replicator Dynamics (PDF)
E. Wesson and R. Rand
Dynamic Games and Applications 6:139-156 (2016)
- Master-Slave
Locking of Optomechanical Oscillators over a Long Distance (PDF)
S.Y. Shah, M. Zhang, R. Rand and M. Lipson
Physical Review Letters 114, 113602 (2015)
- Dynamics
of a Delay Limit Cycle Oscillator with Self-Feedback (PDF1,
2)
L. Lazarus, M. Davidow
and R. Rand
A. Nonlinear Dynamics 82:481-488 (2015)
B. Procedia IUTAM 19:152-160 (2016)
- Hopf
Bifurcations in Two-Strategy Delayed Replicator Dynamics (PDF)
E. Wesson, R. Rand and D. Rand
International Journal of Bifurcation and Chaos
26(1) 1650006 (2016)
- Dynamics
of an Oscillator with Delay Parametric Excitation (PDF1,
2)
L. Lazarus, M. Davidow
and R. Rand
A. International Journal of Non-Linear Mechanics
(2016), 78:66-71
B. International Conference on Structural
Nonlinear Dynamics and Diagnosis,
Marrakech, May 23-25,2016
- Synchronization
of Delay-Coupled Micromechanical Oscillators (PDF)
S.Y. Shah, M. Zhang, R. Rand and M. Lipson
arXiv:1511.08536v1 (2015)
- On
Nonlinear Differential Equations with Delayed Self-Feedback (PDF1,
2, 3,
4, 5)
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),
Montreal, 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
- Delay-Coupled
Mathieu Equations in Synchrotron Dynamics (PDF)
A. Bernstein and R. Rand
Journal of Applied Nonlinear Dynamics
5(3):337-348 (2016)
- Periodically
Forced Delay Limit Cycle Oscillator (PDF)
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
- Delay-Differential
Equations Applied to Queueing Theory (PDF1,
2,
3)
J. Pender, R. Rand and E. Wesson
A. arXiv:1610.01972v1 (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)
- Low-power
photothermal self-oscillation of bimetallic nanowires (PDF1,
2)
R. De Alba, T.S. Abhilash, R.H. Rand, H.G.
Craighead and J.M. Parpia
A. arXiv:1610.07951v2 (2016)
B. Nano Letters 17(7):3995 (2017)
- Analysis
of a simplified MEMS oscillator (PDF)
Richard H. Rand, Alan T. Zehnder and B.Shayak
Proceedings of 9th European Nonlinear Dynamics
Conference (ENOC 2017), June 25-30, 2017, Budapest, Hungary
- Hopf
bifurcation in a delayed nonlinear Mathieu equation (PDF)
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
- Analysis
of a remarkable singularity in a nonlinear DDE (PDF1,
2,
3)
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)
- An
Asymptotic Analysis of Queues with Delayed Information and Time Varying
Arrival Rates (PDF1,
2)
Jamol Pender, Richard
H. Rand and Elizabeth Wesson
A. arXiv:1701.05443v1 (2017)
B. Nonlinear Dynamics 91:2411-2427 (2018)
- Dynamics
of Two Coupled van der Pol Oscillators with Delay Coupling Revisited
(PDF1,
2)
Mark Gluzman and
Richard Rand
A. arXiv:1705.03100v1.pdf (2017)
B. Global Journal of Science Frontier Research
(F) 17(5) 1-7 (2017)
- Lossless
crossing of a resonance stopband during tune modulation by synchrotron
oscillations(PDF)
G.M. Wang, T. Shaftan,
V. Smaluk, Y. Li and R. Rand
New Journal of Physics 19: 093010 (2017)
- Three
ways of treating a linear delay differential equation(PDF)
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)
- Delay-Coupled
Mathieu Equations in Synchrotron Dynamics Revisited: Delay Terms in the
Slow Flow (PDF)
A. Bernstein and R. Rand
Journal of Applied Nonlinear Dynamics 7(4)
349-360 (2018)
- Infinite
Limit Cycle Bifurcation in a Delayed Differential Equation(PDF)
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)
-
Dynamics of a System of Two Coupled MEMS Oscillators
(PDF1,
2,
3
)
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)
C. Chapter 20 in IUTAM Symposium on Exploiting Nonlinear Dynamics in
Engineering Systems, Springer 2020
- Mathieu's
Equation and Its Generalizations: Overview of Stability Charts and Their
Features (PDF)
Ivana Kovacic,
Richard Rand and Si Mohamed Sah
Applied Mechanics Reviews vol.70, 020802 (2018)
- Phase
Locking of Electrostatically Coupled Thermo-optically
Driven MEMS Limit Cycle Oscillators (PDF)
Alan T.Zehnder, Richard H. Rand and Slava Krylov
Int. J. of Non-Linear Mechanics 102:92-100
(2018)
- The
Dynamics of One Way Coupling in a System of Nonlinear Mathieu Equations
(PDF)
Alexander Bernstein, Richard Rand
and Robert Meller
The Open Mechanical Engineering Journal
12:108- 123 (2018)
- Mathieu's Equation
(PDF)
Richard H. Rand
CISM Course: Time-Periodic Systems Sept. 5-9, 2016 Udine, Italy (2016)
CISM
- Non-linear Dynamics in Queueing Theory: Determining Size of Oscillations in Queues with Delayed Information(PDF)
Sophia Novitzky, Jamol Pender, Richard H. Rand and Elizabeth Wesson
SIAM Journal on Applied Dynamical Systems 18(1):279-311 (2019)
- The Mathieu Differential Equation
and Generalizations to Infinite Fractafolds
(PDF)
Shiping Cao, Anthony Coniglio,
Xueyan Niu, Richard Rand and Robert Strichartz
arXiv:1904.00950v1.pdf (2019)
- Mechanical Superheterodyne and Its Use for Low Frequency Vibrations Sensing
(PDF)
N Krakover, R Maimon, T Tepper-Faran, Y Gerson, R Rand, S Krylov
Journal of Microelectromechanical Systems vol.28(3), pp.362-371 (2019)
- Limiting the Oscillations in Queues with Delayed Information Through a Novel Type of Delay Announcement
(PDF)
S Novitzky, J Pender, R Rand, E Wesson
arXiv:1902.07617v1 (2019)
- Nondegenerate Parametric Resonance in Large Ensembles of Coupled Micromechanical Cantilevers with Varying Natural Frequencies
(PDF)
CB Wallin, R De Alba, D Westly, G Holland, S Grutzik, RH Rand, AT Zehnder, VA Aksyuk, S Krylov, BR Ilic
Physical review letters 121 (26), 264301 (2018)
-
Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators
(PDF1,
2
)
Richard H. Rand,
Alan T. Zehnder, B. Shayak and Aditya Bhaskar
A. arXiv:1904.12033v1 (2019)
B. Nonlinear Dynamics, volume 99, pages73–83 (2020)
- What Limits the Oscillations Amplitude of the Single-Branch Pulsating Heat Pipe (PDF)
Albert Tessier-Poirier,
Richard H. Rand and Luc G. Frechette
paper presented at ISOPHP 2019, Daejeon, Korea, Sept.25-28, 2019
- Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions
in time-delayed Duffing oscillators (PDF)
Bernold Fiedler, Alejandro L´opez Nieto, Richard H. Rand, Si Mohamed Sah, Isabelle Schneider, Babette de Wolff
A. arXiv:1906.06602v1 (2019)
B. Journal of Differential Equations, Volume 268, Issue 105, May 2020, Pages 5969-5995 (2020)
- Unbounded sequences of stable limit cycles in the delayed Duffing equation: an exact analysis(PDF)
Si Mohamed Sah, Bernold Fiedler, B.Shayak, Richard H. Rand
arXiv:1908.06533v1 (2019)
- Coexisting modes and bifurcation structure in a pair of coupled detuned third order oscillators
B.Shayak, Aditya Bhasker, Alan T.Zehnder, Richard H.Rand
Int. J. Non-Linear Mechanics (to appear) (2020)
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revised: 2/26/20
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