B.E. 1964 (Cooper Union)
M.S. 1965 (Columbia)
Sc.D. 1967 (Columbia)
Rand joined the Cornell faculty in 1967 after receiving his doctorate from Columbia University. He was a visiting professor at the University of California at Berkeley in 1981 and at the University of California at Los Angeles in 1989. Rand received teaching awards from the Engineering College at Cornell in 1986,1993,1995 and 2005. He received the Best Paper Award of the American Society of Agricultural Engineering in 1982. He is a fellow of the American Society of Mechanical Engineers and a member of the Society for Industrial and Applied Mathematics. He is on the editorial boards of the Journal of Vibration and Control, International Journal of Nonlinear Mechanics and Communications in Nonlinear Science and Numerical Simulation
Current research work involves using perturbation methods and bifurcation theory to obtain approximate solutions to differential equations arising from nonlinear dynamics problems in engineering and biology. Current projects involve quasiperiodic forcing in Mathieu's equation, dynamics of coupled oscillators, and coexistence phenomenon in autoparametric excitation. Applications include NEMS (nano electrical mechanical systems), effects of biorhythms on retinal dynamics, cardiac arrythmias, and ecology of plant communities. These projects are typically conducted jointly with graduate students and with experts in the respective application area.
· Rand, R. H. 1984. Computer algebra in applied mathematics: An introduction to MACSYMA. Research Notes in Mathematics, no. 94. Boston: Pitman.
· Rand, R. H., and D. Armbruster. 1987. Perturbation methods, bifurcation theory, and computer algebra. Applied Mathematical Sciences, no. 65. New York: Springer-Verlag.
· Rand, R. H. 1994. Topics in nonlinear dynamics with computer algebra. Computation in Education, vol. 1. Langhorne, PA: Gordon and Breach Science Publishers.
· Lecture Notes on Nonlinear Vibrations, version 52, 2005
( http://audiophile.tam.cornell.edu/randdocs/nlvibe52.pdf ).
· Parametric Resonance of Hopf Bifurcation R.Rand, A.Barcilon and T.Morrison Nonlinear Dynamics 39:411-421 (2005)
· 2:1:1 Resonance in the Quasiperiodic Mathieu Equation R.Rand and T.Morrison, Nonlinear Dynamics 40:195-203 (2005)
· Coexistence Phenomenon in Autoparametric Excitation of Two Degree of Freedom Systems G.Recktenwald and R.Rand International J. Nonlinear Mechanics 40:1160-1170 (2005)
· 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)
· 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)
· Analysis of Frequency Locking in Optically Driven MEMS Resonators M. Pandey, K. Auburn, M. Zalalutdinov, R.B. Reichenbach, A.T. Zehnder, R.H. Rand and H.G. Craighead J. Microelectromechanical Systems 15:1546-1554 (2006)
· 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)
· 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)
· Synchronization in the Winfree Model of Coupled Nonlinear Oscillators D.D.Quinn, R.H.Rand and S.Strogatz Physical Review E 75:036218 (2007)
· Dynamics of Three Coupled van der Pol Oscillators with Application to Circadian Rhythms K.Rompala, R.Rand and H.Howland Communications in Nonlinear Science and Numerical Simulation 12:794-803 (2007)
· Stability of Strongly Nonlinear Normal Modes G. Recktenwald and R. Rand Communications in Nonlinear Science and Numerical Simulation 12:1128-1132 (2007)
· Trigonometric Simplification of a Class of Conservative Nonlinear Oscillators G. Recktenwald and R. Rand Nonlinear Dynamics 49:193-201 (2007)
· Two Models for the Parametric Forcing of a Nonlinear Oscillator N. Abouhazim, M. Belhaq and R.H. Rand Nonlinear Dynamics 50:147-160 (2007)
· 2:1 Resonance in the Delayed Nonlinear Mathieu Equation T.M. Morrison and R.H. Rand Nonlinear Dynamics 50:341-352 (2007)
· 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)
· Hopf Bifurcation in a DDE Model of Gene Expression A. Verdugo and R. Rand Communications in Nonlinear Science and Numerical Simulation 13:235-242 (2008)
· Dynamics of Four Coupled Phase-Only Oscillators R. Rand and J. Wong Communications in Nonlinear Science and Numerical Simulation 13:501-507 (2008)
· Center Manifold Analysis of a DDE Model of Gene Expression A. Verdugo and R. Rand Communications in Nonlinear Science and Numerical Simulation 13:1112-1120 (2008)
