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Richard Herbert Rand

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  • Richard Herbert Rand
  • Dept: Mechanical and Aerospace Engineering
  • Title: Professor
  • Address: 417 Upson Hall
  • Phone: 607 255-7145
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Selected Publications

  • Bernstein, A., Richard Herbert Rand. 2016. "Delay-Coupled Mathieu Equations in Synchrotron Dynamics." Journal of Applied Nonlinear Dynamics 5 (3): 337-348.
  • Sah, S. M., Richard Herbert Rand. 2016. "Delay Terms in the Slow Flow." Journal of Applied Nonlinear Dynamics 5 (4): 471-484.
  • Lazarus, L., M. Davidow, Richard Herbert Rand. 2016. "Dynamics of an Oscillator with Delay Parametric Excitation." International Journal of Non-Linear Mechanics 78: 66-71.
  • Wesson, E., Richard Herbert Rand. 2016. "Hopf Bifurcations in Delayed Rock-Paper-Scissors Replicator Dynamics." Dynamic Games and Applications 6 (1): 139-156.
  • Shah, S. Y., M. Zhang, R. Rand, M. Lipson. 2015. "Master-Slave Locking of Optomechanical Oscillators over a Long Distance." Physical review letters 114: 113602.
  • Sah, S M., Richard Herbert Rand. 2016. "On Nonlinear Differential Equations With Delayed Self-Feedback." Paper presented at 24th International Congress Of Theoretical And Applied Mechanics (ICTAM 2016), Montréal, Canada, August 21.
  • Lazarus, L., M. Davidow, Richard Herbert Rand. 2016. "Dynamics Of An Oscillator With Delay Parametric Excitation." Paper presented at International Conference On Structural Nonlinear Dynamics And Diagnosis, Marrakech, May 23.
  • Sah, S. M., Richard Herbert Rand. 2016. "On Nonlinear Differential Equations With Delayed Self-Feedback." Paper presented at International Conference On Structural Nonlinear Dynamics And Diagnosis, Marrakech, May 23.
  • Wesson, E., Richard Herbert Rand, D. Rand. 2016. "Hopf Bifurcations in Two-Strategy Delayed Replicator Dynamics." International Journal of Bifurcation and Chaos 26 (1): 1650006.
  • Lazarus, L., M. Davidow, Richard Herbert Rand. 2016. "Periodically Forced Delay Limit Cycle Oscillator." International Journal of Non-Linear Mechanics.
  • Pender, Jamol , Richard Herbert Rand, Elizabeth Wesson. 2016. "Delay-Differential Equations Applied to Queueing Theory." International Journal of Bifurcation and Chaos.
  • De Alba, R., T. S. Abhilash, Richard Herbert Rand, H. G. Craighead, J. M. Parpia. 2016. "Low-Power Photothermal Self-Oscillation of Bimetallic Nanowires." Nano letters.
  • Bernstein , A., Richard Herbert Rand. 2016. "Coupled Parametrically Driven Modes In Synchrotron Dynamics." In Nonlinear Dynamics , edited by G. Kerschen , Chapter 8; pp.107-112. Springer International Publishing.
  • Wesson, E., Richard Herbert Rand. 2016. "A Model Of Evolutionary Dynamics With Quasiperiodic Forcing." In Nonlinear Dynamics , edited by G. Kerschen , Chapter 14; pp.163-171. Springer International Publishing.
  • Rand, Richard Herbert, R Wesson. 2015. "A Model of Evolutionary Dynamics with Quasiperiodoc Forcing." Frankfurt, Germany July (3rd Quarter/Summer).
  • Rand, Richard Herbert, L. Lazarus, M Davidow. 2015. "Dynamics of a Delay Limit Cycle Oscillator with Self-Feedback." Frankfurt, Germany July (3rd Quarter/Summer).
  • Wesson, E., Richard Herbert Rand. 2015. "A Model of Evolutionary Dynamics with Quasiperiodic Forcing." Journal of Applied Nonlinear Dynamics 4 (2): 131-140.
  • Ruelas, RE, Richard Herbert Rand. 2015. "Disappearance of Resonance Tongues." Journal of Applied Nonlinear Dynamics 4 (1): 1-9.
  • Bernstein, A., Richard Herbert Rand. 2015. "Coupled Parametrically Driven Modes in Synchrotron Dynamics." Orlando, Florida February.
  • Wesson, E., Richard Herbert Rand. 2015. "A Model of Evolutionary Dynamics with Quasiperiodic Forcing." Orlando, Florida February.
  • Lazarus, L., M. Davidow, Richard Herbert Rand. 2015. "Dynamics of a Delay Limit Cycle Oscillator with Self-Feedback." Nonlinear Dynamics 82: 481-488.
  • Wesson, E., Richard Herbert Rand. 2014. "Hopf Bifurcations in Two-Player Delayed Replicator Dynamics." Paper presented at paper no. DETC2014-35404, Buffalo, NY, August.
  • Lazarus, L. , Richard Herbert Rand. 2014. "Dynamics of a System of Two Coupled Oscillators which are Driven by a Third Oscillation." Paper presented at paper no. DETC2014-34642, Buffalo, NY, August.
  • Kovacic, I., Richard Herbert Rand. 2014. "On Duffing-type oscillators with a straight-line backbone curve." Vienna, Austria June.
  • Kovacic, Ivana N., Richard Herbert Rand. 2014. "Duffing-Type Oscillators with Amplitude-Independent Period." In Chapter 1 in "Applied Non-Linear Dynamical Systems" , edited by J. Awrejcewicz , 1-10. .
  • Lazarus, L., Richard Herbert Rand. 2014. "Dynamics of a System of Two Coupled Oscillators which are Driven by a Third Oscillator." Journal of Applied Nonlinear Dynamics 271-282.
  • Kovacic, I., Richard Herbert Rand. 2013. "Straight-line Backbone Curve." Communications in Nonlinear Science and Numerical Simulation 18 (9): 2281-2288.
  • Blocher, D. B., A. T. Zehnder, Richard Herbert Rand. 2013. "Entrainment of Micromechanical Limit Cycle Oscillators in the Presence of Frequency Instability." Journal of Microelectromechanical Systems 22 (4): 835-845.
  • Ruelas, R. E., D. G. Rand, Richard Herbert Rand. 2013. "Parametric Excitation and Evolutionary Dynamics." Journal of Applied Mechanics 80 (5): 050903 (6 pages).
  • Kluger, J. M., F. C. Moon, Richard Herbert Rand. 2013. "Shape Optimization of a Blunt Body Vibro-wind Galloping Oscillator." Journal of Fluids and Structures 40: 185-200.
  • Blocher, D., Richard Herbert Rand, A. T. Zehnder. 2013. "Analysis of Laser Power Threshold for Self-Oscillation in Thermo-Optically Excited Doubly Supported MEMS Beams." International Journal of Non-Linear Mechanics 57: 10-15.
  • Blocher, D., Richard Herbert Rand, A T Zehnder. 2013. "Multiple Limit Cycles in Laser Interference Transduced Resonators." International Journal of Non-Linear Mechanics 52: 119-126.
  • Wesson, E. N., Richard Herbert Rand. 2013. "Alternate Models of Replicator Dynamics." Journal of Applied Nonlinear Dynamics 2: 193-206.
  • Heckman, C. R., Richard Herbert Rand. 2013. "Dynamics of microbubble oscillators with delay coupling." Nonlinear Dynamics 71 (1-2): 121-132.
  • Sheheitli, H., Richard Herbert Rand. 2012. "Dynamics of a mass-spring-pendulum system with vastly different frequencies." Nonlinear Dynamics 70 (1): 25-41.
  • Ruelas, R E., D G. Rand, Richard Herbert Rand. 2012. "Nonlinear Parametric Excitation of an Evolutionary Dynamical System." Journal of Mechanical Engineering Science 226 (8): 1912-1920.
  • Suchorsky, M K., Richard Herbert Rand. 2012. "A Pair of van der Pol Oscillators Coupled by Fractional Derivatives." Nonlinear Dynamics 69 (1-2): 313-324.
  • Heckman, C., Richard Herbert Rand. 2012. "Asymptotic Analysis of the Hopf-Hopf Bifurcation in a Time-delay System." Journal of Applied Nonlinear Dynamics 1 (2): 159-171.
  • Sheheitli, H., Richard Herbert Rand. 2012. "On the Dynamics of a Thin Elastica." International Journal of Non-Linear Mechanics 47 (4): 99-107.
  • Blocher, D., A. Zehnder, Richard Herbert Rand, S Mukerji. 2012. "Anchor Deformations Drive Limit Cycle Oscillations in Interferometrically Transduced MEMS Beams." Finite Elements in Analysis and Design 49 (1): 52-57.
  • Rand, Richard Herbert. 2012. Lecture Notes on Nonlinear Vibrations. : 160. The Internet-First University Press.
  • Rand, Richard Herbert, H Sheheitli. 2012. "Dynamics of a Mass-Spring-Pendulum System with Vastly Different Frequencies." Port of Spain,Trinidad
  • Rand, Richard Herbert, Max Yazhbin, David Rand. 2011. "Evolutionary Dynamics of a System with Periodic Coefficients." Communcations in Nonlinear Science and Numerical Simulation 16 (10): 3887-3895.
  • Sheheitli, H., Richard Herbert Rand. 2011. "Dynamics of Three Coupled Limit Cycle Oscillators with Vastly Different Frequencies." Nonlinear Dynamics 64 (1-2): 131-145.
  • Ruelas, R E., Richard Herbert Rand. 2011. "A Digital Model of Coupled Oscillators." Communications in Nonlinear Science and Numerical Simulation 16 (3): 1135-1139.
  • Rand, Richard Herbert. 2011. "Differential-Delay Equations." In Chapter 3 in "Complex Systems: Fractionality, Time-delay and Synchronization" , edited by A. Luo and J-Q Sun , 83-117. Springer.
  • Rand, Richard Herbert, S M. Sah, M K Suchorsky. 2010. "Fractional Mathieu Equation." Communcations in Nonlinear Science and Numerical Simulation 15 (11): 3254-3262.
  • Heckman, C R., S M. Sah, Richard Herbert Rand. 2010. "Dynamics of Microbubble Oscillators with Delay Coupling." Communcations in Nonlinear Science and Numerical Simulation 15 (10): 2735-2743.
  • Suchorsky, M K., S M. Sah, Richard Herbert Rand. 2010. "Using Delay to Quench Undesirable Vibrations." Nonlinear Dynamics 62 (1-2): 407-416.
  • Heckman, C R., S M. Sah, Richard Herbert Rand. 2010. "Dynamics of Microbubble Oscillators with Delay Coupling." Montreal, Quebec, Canada August.
  • Ruelas, R E., Richard Herbert Rand. 2010. "Dynamics of a Model of Two Delay-Coupled Relaxation Oscillators." Communcations in Nonlinear Science and Numerical Simulations 15 (8): 1980-1988.
  • Zehnder, Alan Taylor, Richard Herbert Rand, D Blocher. 2010. "Thermo-Mechanical Coupling Mechanism in NEMS Resonators." Atlanta, Georgia, United States January (1st Quarter/Winter).
  • Pandey, M., Richard Herbert Rand, Alan Zehnder. 2008. "Frequency locking in a forced Mathieu-van der Pol-Duffing system." Nonlinear Dynamics 54 (1-2): 3-12.
  • Morrison, T. M., Richard Herbert Rand. 2007. "2 : 1 Resonance in the delayed nonlinear Mathieu equation." Nonlinear Dynamics 50 (1-2): 341-352.
  • Abouhazim, N., M. Belhaq, Richard Herbert Rand. 2007. "Two models for the parametric forcing of a nonlinear oscillator." Nonlinear Dynamics 50 (1-2): 147-160.
  • Zehnder, Alan Taylor, Manoj Pandey, Richard Herbert Rand. 2007. "Perturbation Analysis of Entrainment in a Micromechanical Limit Cycle Oscillator." Communications in Nonlinear Science and Numerical Simulation 12 (7): 1291-1301.
  • Quinn, D. D., Richard Herbert Rand, S. H. Strogatz. 2007. "Singular unlocking transition in the Winfree model of coupled oscillators." Physical Review E 75 (3): 036218-1 -- 036218-10.
  • Abouhazim, N., Richard Herbert Rand, M. Belhaq. 2006. "The damped nonlinear quasiperiodic Mathieu equation near 2 : 2 : 1 resonance." Nonlinear Dynamics 45 (3-4): 237-247.
  • Dercole, F., Karl Joseph Niklas, Richard Herbert Rand. 2005. "Self-thinning and community persistence in a simple size-structured dynamical model of plant growth." Journal of Mathematical Biology 51: 333-354.
  • Vakakis, A. F., Richard Herbert Rand. 2004. "Non-linear dynamics of a system of coupled oscillators with essential stiffness non-linearities." International Journal of Non-Linear Mechanics 39 (7): 1079-1091.
  • Ramani, D. V., W. L. Keith, Richard Herbert Rand. 2004. "Perturbation solution for secondary bifurcation in the quadratically-damped Mathieu equation." International Journal of Non-Linear Mechanics 39 (3): 491-502.
  • Sen, A. K., Richard Herbert Rand. 2003. "A numerical investigation of the dynamics of a system of two time-delay coupled relaxation oscillators." Communications on Pure and Applied Analysis 2 (4): 567-577.
  • Zalalutdinov, M., K. L. Aubin, M. Pandey, Alan Zehnder, Richard Herbert Rand, Harold G. Craighead, J. M. Parpia, B. H. Houston. 2003. "Frequency entrainment for micromechanical oscillator." Applied Physics Letters 83 (16): 3281-3283.
  • Niklas, Karl Joseph, J J. Midgley, Richard Herbert Rand. 2003. "Size-dependent species richness: trends within plant communities and across latitude." Ecology Letters 6: 631-636.
  • Niklas, Karl Joseph, J J. Midgley, Richard Herbert Rand. 2003. "Tree size distributions, plant density, age, and community disturbance." Ecology Letters 6: 405-411.
  • Stubna, M. D., Richard Herbert Rand, R. F. Gilmour. 2002. "Analysis of a non-linear partial difference equation, and its application to cardiac dynamics." Journal of Difference Equations and Applications 8 (12): 1147-1169.
  • Zounes, R. S., Richard Herbert Rand. 2002. "Global behavior of a nonlinear quasiperiodic Mathieu equation." Nonlinear Dynamics 27 (1): 87-105.
  • Zounes, R. S., Richard Herbert Rand. 2002. "Subharmonic resonance in the non-linear Mathieu equation." International Journal of Non-Linear Mechanics 37 (1): 43-73.
  • Rozhkov, I., A. F. Vakakis, Richard Herbert Rand. 2001. "Non-linear modal interactions in the oscillations of a liquid drop in a gravitational field." International Journal of Non-Linear Mechanics 36 (5): 803-812.
  • Rand, Richard Herbert, D. V. Ramani. 2001. "Nonlinear normal modes in a system with nonholonomic constraints." Nonlinear Dynamics 25 (1-3): 49-64.
  • Howland, Howard Chase, T. Li, E. T. Wirkus, Richard Herbert Rand. 2001. "A mathematical model of a retinal oscillator.." Investigative ophthalmology & visual science 42 (4): S54-S54.
  • Newman, W. I., Richard Herbert Rand, A. L. Newman. 1999. "Dynamics of a nonlinear parametrically excited partial differential equation." Chaos 9 (1): 242-253.
  • Zounes, R. S., Richard Herbert Rand. 1998. "Transition curves for the quasi-periodic Mathieu equation." Siam Journal on Applied Mathematics 58 (4): 1094-1115.
  • Rand, Richard Herbert, Howard Chase Howland, R. A. Applegate. 1997. "Mathematical model of a Placido disk keratometer and its implications for recovery of corneal topography." Optom Vis Sci 74 (11): 926-30.
  • Rand, Richard Herbert, R. Zounes, R. Hastings. 1997. Nonlinear dynamics : the Richard Rand 50th anniversary volume. "Dynamics of a Quasiperiodically Forced Mathier Oscillator", Chapter 9. : 229. Singapore ; River Edge, NJ: World Scientific.
  • Rand, Richard Herbert. 1996. "Dynamics of a nonlinear parametrically-excited PDE: 2-term truncation." Mechanics Research Communications 23 (3): 283-289.
  • Kinsey, R. J., D. L. Mingori, Richard Herbert Rand. 1996. "Nonlinear control of dual-spin spacecraft during despin through precession phase lock." Journal of Guidance Control and Dynamics 19 (1): 60-67.
  • Hall, C. D., Richard Herbert Rand. 1994. "Spinup Dynamics of Axial Dual-Spin Spacecraft." Journal of Guidance Control and Dynamics 17 (1): 30-37.
  • Vakakis, A. F., Richard Herbert Rand. 1992. "Normal-Modes and Global Dynamics of a 2-Degree-of-Freedom Nonlinear-System .1. Low Energies." International Journal of Non-Linear Mechanics 27 (5): 861-874.
  • Rand, Richard Herbert, R. J. Kinsey, D. L. Mingori. 1992. "Dynamics of Spinup through Resonance." International Journal of Non-Linear Mechanics 27 (3): 489-502.
  • Rand, Richard Herbert. 1992. "Bruno Days at Cornell." Journal of Thermal Stresses 15 (2): R5-R8.
  • Paidoussis, M. P., G. X. Li, Richard Herbert Rand. 1991. "Chaotic Motions of a Constrained Pipe Conveying Fluid - Comparison between Simulation, Analysis, and Experiment." Journal of Applied Mechanics-Transactions of the Asme 58 (2): 559-565.
  • Rand, Richard Herbert, S. R. Lubkin, Howard Chase Howland. 1991. "Analytical Model of Corneal Surgery." Journal of Biomechanical Engineering-Transactions of the Asme 113 (2): 239-241.
  • Li, G. X., Richard Herbert Rand, Francis Charles Moon. 1990. "Bifurcations and Chaos in a Forced Zero-Stiffness Impact Oscillator." International Journal of Non-Linear Mechanics 25 (4): 417-432.
  • Coppola, V. T., Richard Herbert Rand. 1990. "Averaging Using Elliptic Functions - Approximation of Limit-Cycles." Acta Mechanica 81 (3-4): 125-142.
  • Rand, Richard Herbert. 1989. "Analytical Approximation for Period-Doubling Following a Hopf-Bifurcation." Mechanics Research Communications 16 (2): 117-123.
  • Coppola, V. T., Richard Herbert Rand. 1989. "Computer Algebra Implementation of Lie Transforms for Hamiltonian-Systems - Application to the Nonlinear Stability of L4." Zeitschrift Fur Angewandte Mathematik Und Mechanik 69 (9): 275-284.
  • Shaw, S. W., Richard Herbert Rand. 1989. "The Transition to Chaos in a Simple Mechanical System." International Journal of Non-Linear Mechanics 24 (1): 41-56.
  • Upadhyaya, S. K., Richard Herbert Rand, J. R. Cooke. 1988. "Role of Stomatal Oscillations on Transpiration, Assimilation and Water-Use Efficiency of Plants." Ecological Modelling 41 (1-2): 27-40.
  • Coppola, V. T., Richard Herbert Rand. 1988. "Computer Algebra, Lie Transforms and the Nonlinear Stability of L-4." Celestial Mechanics & Dynamical Astronomy 45 (1-3): 103-104.
  • Len, J. L., Richard Herbert Rand. 1988. "Lie Transforms Applied to a Non-Linear Parametric-Excitation Problem." International Journal of Non-Linear Mechanics 23 (4): 297-313.
  • Storti, D., Richard Herbert Rand. 1988. "Subharmonic Entrainment of a Forced Relaxation-Oscillator." International Journal of Non-Linear Mechanics 23 (3): 231-239.
  • Chakraborty, T., Richard Herbert Rand. 1988. "The Transition from Phase Locking to Drift in a System of 2 Weakly Coupled Vanderpol Oscillators." International Journal of Non-Linear Mechanics 23 (5-6): 369-376.
  • Barry, D A., Jean-Yves Parlange, Richard Herbert Rand, J C Parker. 1987. "Addendum to approximations for solute transport through porous media with flow transverse to layering." Transport in Porous Media 2: 421-423.
  • Parlange, Jean-Yves, R. Haverkamp, Richard Herbert Rand, L. Rendon, G H Schmitz. 1987. "Water movement in soils. The role of analytical solutions. Future developments in soil science research.." Soil Science Society of America Journal 11-21.
  • Rand, Richard Herbert, W. L. Keith. 1987. "Determinacy of Degenerate Equilibria with Linear Part X'=Y, Y'=0 Using Macysma." Applied Mathematics and Computation 21 (1): 1-19.
  • Storti, D. W., Richard Herbert Rand. 1986. "Dynamics of 2 Strongly Coupled Relaxation-Oscillators." Siam Journal on Applied Mathematics 46 (1): 56-67.
  • Upadhyaya, S. K., J. R. Cooke, R. S. Gates, Richard Herbert Rand. 1986. "A Finite-Element Analysis of the Mechanical and Thermal Strength of Avian Eggs." Journal of Agricultural Engineering Research 33 (1): 57-78.
  • Lance, R. H., Richard Herbert Rand, Francis Charles Moon. 1985. "Teaching Engineering Analysis Using Symbolic Algebra and Calculus." Engineering Education 76 (2): 97-101.
  • Lisle, I G., Jean-Yves Parlange, Richard Herbert Rand, M B. Parlange, W L. Hogarth, R D. Braddock, H P Gottlieb. 1985. "Numerical corrections of Wu's coefficients for scattering of high-frequency waves from spheres and cylinders." Phys. Rev. Letters 55: 555-557.
  • Upadhyaya, S. K., J. R. Cooke, Richard Herbert Rand. 1985. "A Fluid-Filled Spherical-Shell Model of the Thermoelastic Behavior of Avian Eggs." Journal of Agricultural Engineering Research 32 (2): 95-109.
  • Stroshine, R. L., Richard Herbert Rand, J. R. Cooke, J. M. Cutler, J. F. Chabot. 1985. "An Analysis of Resistance to Water-Flow through Wheat and Tall Fescue Leaves during Pressure Chamber Efflux Experiments." Plant Cell and Environment 8 (1): 7-18.
  • Keith, W. L., Richard Herbert Rand. 1985. "Dynamics of a System Exhibiting the Global Bifurcation of a Limit-Cycle at Infinity." International Journal of Non-Linear Mechanics 20 (4): 325-338.
  • Woods, S. D., Richard Herbert Rand, H. D. Block, D. C. Lewis. 1985. "Eye-Movements and the Enhancement of Edges." Journal of Mathematical Biology 21 (3): 273-283.
  • Lisle, I. G., J. Y. Parlange, Richard Herbert Rand, M. B. Parlange, W. L. Hogarth, R. D. Braddock, H. P. Gottlieb. 1985. "Numerical Corrections of Wu Coefficients for Scattering of High-Frequency Waves from Spheres and Cylinders." Physical review letters 55 (6): 555-557.
  • Month, L. A., Richard Herbert Rand. 1985. "Stability of a Rigid Body with an Oscillating Particle - an Application of Macsyma." Journal of Applied Mechanics-Transactions of the Asme 52 (3): 686-692.
  • Lance, R. H., Richard Herbert Rand, Francis Charles Moon. 1985. "Teaching Engineering Analysis Using Symbolic Algebra and Calculus." Engineering Education 76 (2): 97-101.
  • Keith, W. L., Richard Herbert Rand. 1984. "1-1 and 2-1 Phase Entrainment in a System of 2 Coupled Limit-Cycle Oscillators." Journal of Mathematical Biology 20 (2): 133-152.
  • Rand, Richard Herbert. 1984. "Derivation of the Hopf-Bifurcation Formula Using Lindstedt Perturbation Method and Macsyma." Abstracts of Papers of the American Chemical Society 188 (Aug): 23-Comp.
  • Upadhyaya, S. K., Richard Herbert Rand, J. R. Cooke. 1983. "A Mathematical-Model of the Effects of Co2 on Stomatal Dynamics." Journal of theoretical biology 101 (3): 415-440.
  • Rand, Richard Herbert. 1983. "Classical Mechanics, Vol 1, and Vol 2 - Desologe,Ea." Journal of Applied Mechanics-Transactions of the Asme 50 (2): 478-478.
  • Rand, Richard Herbert. 1983. "Fluid-Mechanics of Green Plants." Annual Review of Fluid Mechanics 15: 29-45.
  • Month, L. A., Richard Herbert Rand. 1982. "Bifurcation of 4-1 Subharmonics in the Non-Linear Mathieu Equation." Mechanics Research Communications 9 (4): 233-240.
  • Storti, D. W., Richard Herbert Rand. 1982. "Dynamics of 2 Strongly Coupled Vanderpol Oscillators." International Journal of Non-Linear Mechanics 17 (3): 143-152.
  • Rand, Richard Herbert, D. W. Storti, S. K. Upadhyaya, J. R. Cooke. 1982. "Dynamics of Coupled Stomatal Oscillators." Journal of Mathematical Biology 15 (2): 131-149.
  • Cohen, A. H., P. J. Holmes, Richard Herbert Rand. 1982. "The Nature of the Coupling between Segmental Oscillators of the Lamprey Spinal Generator for Locomotion - a Mathematical-Model." Journal of Mathematical Biology 13 (3): 345-369.
  • Holmes, C. A., Richard Herbert Rand. 1981. "Coupled Oscillators as a Model for Non-Linear Parametric-Excitation." Mechanics Research Communications 8 (5): 263-268.
  • Upadhyaya, S. K., Richard Herbert Rand, J. R. Cooke. 1981. "Dynamics of Fruit Tree Trunk Impact." Transactions of the Asae 24 (4): 846-855.
  • Rand, Richard Herbert, S. K. Upadhyaya, J. R. Cooke, D. W. Storti. 1981. "Hopf-Bifurcation in a Stomatal Oscillator." Journal of Mathematical Biology 12 (1): 1-11.
  • Upadhyaya, S. K., J. R. Cooke, Richard Herbert Rand. 1981. "Limb Impact Harvesting .1. Finite-Element Analysis." Transactions of the Asae 24 (4): 856-863.
  • Rand, Richard Herbert, J. R. Cooke. 1980. "A Comprehensive Model for Co2 Assimilation in Leaves." Transactions of the Asae 23 (3): 601-607.
  • Month, L. A., Richard Herbert Rand. 1980. "An Application of the Poincare Map to the Stability of Non-Linear Normal-Modes." Journal of Applied Mechanics-Transactions of the Asme 47 (3): 645-651.
  • Rand, Richard Herbert, P. J. Holmes. 1980. "Bifurcation of Periodic Motions in 2 Weakly Coupled Vanderpol Oscillators." International Journal of Non-Linear Mechanics 15 (4-5): 387-399.
  • Rand, Richard Herbert, S. K. Upadhyaya, J. R. Cooke. 1980. "Fluid-Dynamics of Phloem Flow .2. An Approximate Formula." Transactions of the Asae 23 (3): 581-584.
  • Sinclair, T. R., Richard Herbert Rand. 1979. "Mathematical-Analysis of Cell Co2 Exchange under High Co2 Concentrations." Photosynthetica 13 (3): 239-244.
  • Rand, Richard Herbert. 1978. "Dynamics of an Evaporating Meniscus." Acta Mechanica 29 (1-4): 135-146.
  • Rand, Richard Herbert, J. R. Cooke. 1978. "Fluid-Dynamics of Phloem Flow - Axisymmetric Model." Transactions of the Asae 21 (5): 898-&.
  • Rand, Richard Herbert. 1978. "Theoretical-Analysis of Co2 Absorption in Sun Versus Shade Leaves." Journal of Biomechanical Engineering-Transactions of the Asme 100 (1): 20-24.
  • Rand, Richard Herbert. 1977. "Gaseous-Diffusion in Leaf Interior." Transactions of the Asae 20 (4): 701-704.
  • Chapman, D. C., Richard Herbert Rand, J. R. Cooke. 1977. "Hydrodynamical Model of Bordered Pits in Conifer Tracheids." Journal of theoretical biology 67 (1): 11-24.
  • Month, L. A., Richard Herbert Rand. 1977. "Stability of Bifurcating Periodic-Solutions in a 2-Degree-of-Freedom Nonlinear-System." Journal of Applied Mechanics-Transactions of the Asme 44 (4): 782-784.
  • Cooke, J. R., J. G. Debaerdemaeker, Richard Herbert Rand, H. A. Mang. 1976. "Finite-Element Shell Analysis of Guard Cell Deformations." Transactions of the Asae 19 (6): 1107-1121.
  • Cooke, J. R., Richard Herbert Rand. 1973. "Mathematical Study of Resonance in Intact Fruits and Vegetables Using a 3-Media Elastic Sphere Model." Journal of Agricultural Engineering Research 18 (2): 141-157.