☰

Richard H. Rand, Sc.D. - Publications

Affiliations: 
1967 Cornell University, Ithaca, NY, United States 
Area:
nonlinear dynamics
Tree Info Similar researchers PubMed Report error

156 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Cao S, Coniglio A, Niu X, Rand RH, Strichartz RS. The mathieu differential equation and generalizations to infinite fractafolds Communications On Pure and Applied Analysis. 19: 1795-1845. DOI: 10.3934/Cpaa.2020073  0.404
2020 Fiedler B, Nieto AL, Rand RH, Sah SM, Schneider I, Wolff Bd. Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators Journal of Differential Equations. 268: 5969-5995. DOI: 10.1016/J.Jde.2019.11.015  0.366
2020 Shayak B, Bhaskar A, Zehnder AT, Rand RH. Coexisting modes and bifurcation structure in a pair of coupled detuned third order oscillators International Journal of Non-Linear Mechanics. 122: 103464. DOI: 10.1016/J.Ijnonlinmec.2020.103464  0.479
2020 Novitzky S, Pender J, Rand RH, Wesson E. Limiting the oscillations in queues with delayed information through a novel type of delay announcement Queueing Systems. 95: 281-330. DOI: 10.1007/S11134-020-09657-9  0.336
2020 Rand RH, Zehnder AT, Shayak B, Bhaskar A. Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators Nonlinear Dynamics. 99: 73-83. DOI: 10.1007/S11071-019-05182-4  0.481
2019 Novitzky S, Pender J, Rand RH, Wesson E. Nonlinear Dynamics in Queueing Theory: Determining the Size of Oscillations in Queues with Delay Siam Journal On Applied Dynamical Systems. 18: 279-311. DOI: 10.1137/18M1170637  0.31
2019 Krakover N, Maimon R, Tepper-Faran T, Gerson Y, Rand R, Krylov S. Mechanical Superheterodyne and Its Use for Low Frequency Vibrations Sensing Ieee\/Asme Journal of Microelectromechanical Systems. 28: 362-371. DOI: 10.1109/Jmems.2019.2903265  0.325
2018 Wallin CB, De Alba R, Westly D, Holland G, Grutzik S, Rand RH, Zehnder AT, Aksyuk VA, Krylov S, Ilic BR. Nondegenerate Parametric Resonance in Large Ensembles of Coupled Micromechanical Cantilevers with Varying Natural Frequencies. Physical Review Letters. 121: 264301. PMID 30636140 DOI: 10.1103/Physrevlett.121.264301  0.372
2018 Bernstein A, Rand R. Delay-Coupled Mathieu Equations in Synchrotron Dynamics Revisited: Delay Terms in the Slow Flow Journal of Applied Nonlinear Dynamics. 7: 349-360. DOI: 10.5890/Jand.2018.12.003  0.411
2018 Bernstein A, Rand R, Meller R. The Dynamics of One Way Coupling in a System of Nonlinear Mathieu Equations The Open Mechanical Engineering Journal. 12: 108-123. DOI: 10.2174/1874155X01812010108  0.451
2018 Kovacic I, Rand RH, Sah SM. Mathieu's Equation and Its Generalizations: Overview of Stability Charts and Their Features Applied Mechanics Reviews. 70: 20802. DOI: 10.1115/1.4039144  0.353
2018 Zehnder AT, Rand RH, Krylov S. Locking of electrostatically coupled thermo-optically driven MEMS limit cycle oscillators International Journal of Non-Linear Mechanics. 102: 92-100. DOI: 10.1016/J.Ijnonlinmec.2018.03.009  0.389
2018 Pender J, Rand RH, Wesson E. An analysis of queues with delayed information and time-varying arrival rates Nonlinear Dynamics. 91: 2411-2427. DOI: 10.1007/S11071-017-4021-0  0.329
2017 De Alba R, Abhilash TS, Rand RH, Craighead HG, Parpia JM. Low-power photothermal self-oscillation of bimetallic nanowires. Nano Letters. PMID 28537401 DOI: 10.1021/Acs.Nanolett.6B04769  0.433
2017 Pender J, Rand RH, Wesson E. Queues with Choice via Delay Differential Equations International Journal of Bifurcation and Chaos. 27: 1730016. DOI: 10.1142/S0218127417300166  0.332
2017 Wang GM, Shaftan T, Smaluk V, Li Y, Rand R. Lossless crossing of a resonance stopband during tune modulation by synchrotron oscillations New Journal of Physics. 19: 93010. DOI: 10.1088/1367-2630/Aa8742  0.3
2017 Lazarus L, Davidow M, Rand R. Periodically forced delay limit cycle oscillator International Journal of Non-Linear Mechanics. 94: 216-222. DOI: 10.1016/J.Ijnonlinmec.2016.07.001  0.415
2017 Davidow M, Shayak B, Rand RH. Analysis of a remarkable singularity in a nonlinear DDE Nonlinear Dynamics. 90: 317-323. DOI: 10.1007/S11071-017-3663-2  0.332
2016 Sah SM, Rand RH. Delay Terms in the Slow Flow Journal of Applied Nonlinear Dynamics. 5: 471-484. DOI: 10.5890/Jand.2016.12.007  0.354
2016 Bernstein A, Rand R. Delay-Coupled Mathieu Equations in Synchrotron Dynamics Journal of Applied Nonlinear Dynamics. 5: 337-348. DOI: 10.5890/Jand.2016.09.006  0.435
2016 Wesson E, Rand R, Rand D. Hopf Bifurcations in Two-Strategy Delayed Replicator Dynamics International Journal of Bifurcation and Chaos. 26. DOI: 10.1142/S0218127416500061  0.418
2016 Lazarus L, Davidow M, Rand R. Dynamics of a Delay Limit Cycle Oscillator with Self-Feedback☆ Procedia Iutam. 19: 152-160. DOI: 10.1016/J.Piutam.2016.03.020  0.5
2016 Lazarus L, Davidow M, Rand R. Dynamics of an oscillator with delay parametric excitation International Journal of Non-Linear Mechanics. 78: 66-71. DOI: 10.1016/J.Ijnonlinmec.2015.10.005  0.44
2016 Wesson E, Rand R. Hopf Bifurcations in Delayed Rock–Paper–Scissors Replicator Dynamics Dynamic Games and Applications. 6: 139-156. DOI: 10.1007/S13235-015-0138-2  0.405
2016 Bernstein A, Rand R. Coupled parametrically driven modes in synchrotron dynamics Conference Proceedings of the Society For Experimental Mechanics Series. 1: 107-112. DOI: 10.1007/978-3-319-15221-9_8  0.319
2016 Wesson E, Rand R. A model of evolutionary dynamics with quasiperiodic forcing Conference Proceedings of the Society For Experimental Mechanics Series. 1: 163-171. DOI: 10.1007/978-3-319-15221-9_14  0.387
2015 Shah SY, Zhang M, Rand R, Lipson M. Master-slave locking of optomechanical oscillators over a long distance. Physical Review Letters. 114: 113602. PMID 25839268 DOI: 10.1103/Physrevlett.114.113602  0.359
2015 Lazarus L, Davidow M, Rand R. Dynamics of a delay limit cycle oscillator with self-feedback Nonlinear Dynamics. 82: 481-488. DOI: 10.1007/S11071-015-2169-Z  0.438
2014 Lazarus L, Rand RH. Dynamics of a System of Two Coupled Oscillators Driven by a Third Oscillator Journal of Applied Nonlinear Dynamics. 3: 271-282. DOI: 10.5890/Jand.2014.06.006  0.464
2014 Wesson E, Rand R. HOPF bifurcations in two-player delayed replicator dynamics Proceedings of the Asme Design Engineering Technical Conference. 8. DOI: 10.1115/DETC2014-35404  0.316
2013 Blocher DB, Zehnder AT, Rand RH. Entrainment of micromechanical limit cycle oscillators in the presence of frequency instability Journal of Microelectromechanical Systems. 22: 835-845. DOI: 10.1109/Jmems.2013.2248124  0.328
2013 Heckman C, Kotas J, Rand R. Center Manifold Reduction of the Hopf-Hopf Bifurcation in a Time Delay System Esaim: Proceedings. 39: 57-65. DOI: 10.1051/Proc/201339008  0.51
2013 Kluger JM, Moon FC, Rand RH. Shape optimization of a blunt body Vibro-wind galloping oscillator Journal of Fluids and Structures. 40: 185-200. DOI: 10.1016/J.Jfluidstructs.2013.03.014  0.373
2013 Blocher D, Rand RH, Zehnder AT. 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. DOI: 10.1016/J.Ijnonlinmec.2013.06.010  0.362
2013 Blocher D, Rand RH, Zehnder AT. Multiple limit cycles in laser interference transduced resonators International Journal of Non-Linear Mechanics. 52: 119-126. DOI: 10.1016/J.Ijnonlinmec.2013.02.008  0.388
2013 Kovacic I, Rand R. Straight-line backbone curve Communications in Nonlinear Science and Numerical Simulation. 18: 2281-2288. DOI: 10.1016/J.Cnsns.2012.11.031  0.308
2013 Kovacic I, Rand R. About a class of nonlinear oscillators with amplitude-independent frequency Nonlinear Dynamics. 74: 455-465. DOI: 10.1007/S11071-013-0982-9  0.488
2013 Heckman CR, Rand RH. Dynamics of microbubble oscillators with delay coupling Nonlinear Dynamics. 71: 121-132. DOI: 10.1007/S11071-012-0645-2  0.492
2012 Heckman CR, Rand RH. Asymptotic Analysis of the Hopf-Hopf Bifurcation in a Time-delay System Journal of Applied Nonlinear Dynamics. 1: 159-171. DOI: 10.5890/Jand.2012.05.004  0.446
2012 Ruelas RE, Rand DG, Rand RH. Nonlinear parametric excitation of an evolutionary dynamical system Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 226: 1912-1920. DOI: 10.1177/0954406211432066  0.352
2012 Sheheitli H, Rand RH. On the dynamics of a thin elastica International Journal of Non-Linear Mechanics. 47: 99-107. DOI: 10.1016/J.Ijnonlinmec.2012.03.006  0.388
2012 Blocher D, Zehnder AT, Rand RH, Mukerji S. Anchor deformations drive limit cycle oscillations in interferometrically transduced MEMS beams Finite Elements in Analysis and Design. 49: 52-57. DOI: 10.1016/J.Finel.2011.08.020  0.385
2012 Sheheitli H, Rand RH. Dynamics of a mass–spring–pendulum system with vastly different frequencies Nonlinear Dynamics. 70: 25-41. DOI: 10.1007/S11071-012-0428-9  0.487
2012 Suchorsky MK, Rand RH. A pair of van der Pol oscillators coupled by fractional derivatives Nonlinear Dynamics. 69: 313-324. DOI: 10.1007/S11071-011-0266-1  0.407
2011 Rand RH, Yazhbin M, Rand DG. Evolutionary dynamics of a system with periodic coefficients Communications in Nonlinear Science and Numerical Simulation. 16: 3887-3895. DOI: 10.1016/J.Cnsns.2011.02.023  0.4
2011 Ruelas RE, Rand RH. A digital model of coupled oscillators Communications in Nonlinear Science and Numerical Simulation. 16: 1135-1139. DOI: 10.1016/J.Cnsns.2010.07.010  0.457
2011 Sheheitli H, Rand RH. Dynamics of three coupled limit cycle oscillators with vastly different frequencies Nonlinear Dynamics. 64: 131-145. DOI: 10.1007/S11071-010-9852-X  0.458
2010 Rand RH, Sah SM, Suchorsky MK. Fractional Mathieu equation Communications in Nonlinear Science and Numerical Simulation. 15: 3254-3262. DOI: 10.1016/J.Cnsns.2009.12.009  0.319
2010 Heckman CR, Sah SM, Rand RH. Dynamics of microbubble oscillators with delay coupling Communications in Nonlinear Science and Numerical Simulation. 15: 2735-2743. DOI: 10.1016/J.Cnsns.2009.10.017  0.492
2010 Ruelas RE, Rand RH. Dynamics of a model of two delay-coupled relaxation oscillators Communications in Nonlinear Science and Numerical Simulation. 15: 1980-1988. DOI: 10.1016/J.Cnsns.2009.09.001  0.467
2010 Suchorsky MK, Sah SM, Rand RH. Using delay to quench undesirable vibrations Nonlinear Dynamics. 62: 407-416. DOI: 10.1007/S11071-010-9727-1  0.41
2009 Bridge J, Rand R, Sah SM. Slow Passage through Multiple Parametric Resonance Tongues Journal of Vibration and Control. 15: 1581-1600. DOI: 10.1177/1077546309103263  0.371
2009 Sheheitli H, Rand R. Origin of arrhythmias in a heart model Communications in Nonlinear Science and Numerical Simulation. 14: 3707-3714. DOI: 10.1016/J.Cnsns.2009.03.016  0.491
2009 Bridge J, Rand R, Sah SM. Dynamics of a ring network of phase-only oscillators Communications in Nonlinear Science and Numerical Simulation. 14: 3901-3913. DOI: 10.1016/J.Cnsns.2008.08.011  0.341
2009 Suchorsky M, Rand R. Three oscillator model of the heartbeat generator Communications in Nonlinear Science and Numerical Simulation. 14: 2434-2449. DOI: 10.1016/J.Cnsns.2008.08.007  0.365
2009 Bridge J, Mendelowitz L, Rand R, Sah S, Verdugo A. Dynamics of a ring of three coupled relaxation oscillators Communications in Nonlinear Science and Numerical Simulation. 14: 1598-1608. DOI: 10.1016/J.Cnsns.2008.05.012  0.822
2009 Mendelowitz L, Verdugo A, Rand R. Dynamics of three coupled limit cycle oscillators with application to artificial intelligence Communications in Nonlinear Science and Numerical Simulation. 14: 270-283. DOI: 10.1016/J.Cnsns.2007.08.009  0.798
2008 Sah SM, Recktenwald G, Rand R, Belhaq M. Autoparametric quasiperiodic excitation International Journal of Non-Linear Mechanics. 43: 320-327. DOI: 10.1016/J.Ijnonlinmec.2007.12.015  0.797
2008 Verdugo A, Rand R. Center manifold analysis of a DDE model of gene expression Communications in Nonlinear Science and Numerical Simulation. 13: 1112-1120. DOI: 10.1016/J.Cnsns.2006.09.011  0.808
2008 Rand R, Wong J. Dynamics of four coupled phase-only oscillators Communications in Nonlinear Science and Numerical Simulation. 13: 501-507. DOI: 10.1016/J.Cnsns.2006.06.013  0.407
2008 Verdugo A, Rand R. Hopf bifurcation in a DDE model of gene expression Communications in Nonlinear Science and Numerical Simulation. 13: 235-242. DOI: 10.1016/J.Cnsns.2006.05.001  0.815
2008 Pandey M, Rand RH, Zehnder AT. Frequency locking in a forced Mathieu-van der Pol-Duffing system Nonlinear Dynamics. 54: 3-12. DOI: 10.1007/S11071-007-9238-X  0.427
2007 Boulal T, Aniss S, Belhaq M, Rand R. Effect of quasiperiodic gravitational modulation on the stability of a heated fluid layer. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 76: 056320. PMID 18233769 DOI: 10.1103/Physreve.76.056320  0.334
2007 Quinn DD, Rand RH, Strogatz SH. Singular unlocking transition in the Winfree model of coupled oscillators. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 75: 036218. PMID 17500780 DOI: 10.1103/Physreve.75.036218  0.723
2007 Pandey M, Rand R, Zehnder A. Perturbation analysis of entrainment in a micromechanical limit cycle oscillator Communications in Nonlinear Science and Numerical Simulation. 12: 1291-1301. DOI: 10.1016/J.Cnsns.2006.01.017  0.458
2007 Recktenwald G, Rand R. Stability of strongly nonlinear normal modes Communications in Nonlinear Science and Numerical Simulation. 12: 1128-1132. DOI: 10.1016/J.Cnsns.2005.11.003  0.801
2007 Rand R, Verdugo A. Hopf bifurcation formula for first order differential-delay equations Communications in Nonlinear Science and Numerical Simulation. 12: 859-864. DOI: 10.1016/J.Cnsns.2005.08.005  0.795
2007 Rompala K, Rand R, Howland H. Dynamics of three coupled van der Pol oscillators with application to circadian rhythms Communications in Nonlinear Science and Numerical Simulation. 12: 794-803. DOI: 10.1016/J.Cnsns.2005.08.002  0.743
2007 Morrison TM, Rand RH. 2:1 Resonance in the delayed nonlinear Mathieu equation Nonlinear Dynamics. 50: 341-352. DOI: 10.1007/S11071-006-9162-5  0.769
2007 Abouhazim N, Belhaq M, Rand RH. Two models for the parametric forcing of a nonlinear oscillator Nonlinear Dynamics. 50: 147-160. DOI: 10.1007/S11071-006-9148-3  0.459
2007 Recktenwald G, Rand R. Trigonometric simplification of a class of conservative nonlinear oscillators Nonlinear Dynamics. 49: 193-201. DOI: 10.1007/S11071-006-9121-1  0.798
2006 Pandey M, Aubin K, Zalalutdinov M, Reichenbach RB, Zehnder AT, Rand RH, Craighead HG. Analysis of frequency locking in optically driven MEMS resonators Journal of Microelectromechanical Systems. 15: 1546-1554. DOI: 10.1109/Jmems.2006.879693  0.379
2006 Abouhazim N, Rand RH, Belhaq M. The Damped Nonlinear Quasiperiodic Mathieu Equation Near 2:2:1 Resonance Nonlinear Dynamics. 45: 237-247. DOI: 10.1007/S11071-006-2424-4  0.478
2005 Reichenbach RB, Zalalutdinov M, Aubin KL, Rand R, Houston BH, Parpia JM, Craighead HG. Third-order intermodulation in a micromechanical thermal mixer Journal of Microelectromechanical Systems. 14: 1244-1252. DOI: 10.1109/Jmems.2005.859080  0.321
2005 Recktenwald G, Rand R. Coexistence phenomenon in autoparametric excitation of two degree of freedom systems International Journal of Non-Linear Mechanics. 40: 1160-1170. DOI: 10.1016/J.Ijnonlinmec.2005.05.001  0.799
2005 Rand R, Morrison T. 2:1:1 Resonance in the quasi-periodic mathieu equation Nonlinear Dynamics. 40: 195-203. DOI: 10.1007/S11071-005-6005-8  0.76
2005 Rand R, Barcilon A, Morrison T. Parametric Resonance of Hopf Bifurcation Nonlinear Dynamics. 39: 411-421. DOI: 10.1007/S11071-005-3400-0  0.769
2004 Aubin K, Zalalutdinov M, Alan T, Reichenbach RB, Rand R, Zehnder A, Parpia J, Craighead H. Limit cycle oscillations in CW laser-driven NEMS Journal of Microelectromechanical Systems. 13: 1018-1026. DOI: 10.1109/Jmems.2004.838360  0.353
2004 Vakakis AF, Rand RH. Non-linear dynamics of a system of coupled oscillators with essential stiffness non-linearities International Journal of Non-Linear Mechanics. 39: 1079-1091. DOI: 10.1016/S0020-7462(03)00098-2  0.457
2004 Ramani DV, Keith WL, Rand RH. Perturbation solution for secondary bifurcation in the quadratically-damped Mathieu equation International Journal of Non-Linear Mechanics. 39: 491-502. DOI: 10.1016/S0020-7462(02)00218-4  0.745
2004 Camacho E, Rand R, Howland H. Dynamics of two van der Pol oscillators coupled via a bath International Journal of Solids and Structures. 41: 2133-2143. DOI: 10.1016/J.Ijsolstr.2003.11.035  0.746
2003 Rand RH, Sen AK. A Numerical Investigation Of The Dynamics Of A System Of Two Time-Delay Coupled Relaxation Oscillators Communications On Pure and Applied Analysis. 2: 567-577. DOI: 10.3934/Cpaa.2003.2.567  0.403
2003 Ng L, Rand R, O'Neil M. Slow passage through resonance in Mathieu's equation Jvc/Journal of Vibration and Control. 9: 685-707. DOI: 10.1177/1077546303009006004  0.409
2003 Zalalutdinov M, Aubin KL, Pandey M, Zehnder AT, Rand RH, Craighead HG, Parpia JM, Houston BH. Frequency entrainment for micromechanical oscillator Applied Physics Letters. 83: 3281-3283. DOI: 10.1063/1.1618363  0.323
2003 Rand R, Guennoun K, Belhaq M. 2:2:1 resonance in the quasiperiodic Mathieu equation Nonlinear Dynamics. 31: 367-374. DOI: 10.1023/A:1023216817293  0.459
2003 Ng L, Rand R. Nonlinear effects on coexistence phenomenon in parametric excitation Nonlinear Dynamics. 31: 73-89. DOI: 10.1023/A:1022184114576  0.474
2002 Stubna MD, Rand RH, Gilmour RF. Analysis of a non-linear partial difference equation, and its application to cardiac dynamics Journal of Difference Equations and Applications. 8: 1147-1169. DOI: 10.1080/1023619021000054006  0.8
2002 Wirkus S, Rand R. The dynamics of two coupled van der Pol oscillators with delay coupling Nonlinear Dynamics. 30: 205-221. DOI: 10.1023/A:1020536525009  0.782
2002 Zounes RS, Rand RH. Global behavior of a nonlinear quasiperiodic Mathieu equation Nonlinear Dynamics. 27: 87-105. DOI: 10.1023/A:1017931712099  0.433
2002 Ng L, Rand R. Bifurcations in a Mathieu equation with cubic nonlinearities: Part II Communications in Nonlinear Science and Numerical Simulation. 7: 107-121. DOI: 10.1016/S1007-5704(02)00018-7  0.485
2002 Ng L, Rand R. Bifurcations in a Mathieu equation with cubic nonlinearities Chaos Solitons & Fractals. 14: 173-181. DOI: 10.1016/S0960-0779(01)00226-0  0.456
2002 Zounes RS, Rand RH. Subharmonic resonance in the non-linear Mathieu equation International Journal of Non-Linear Mechanics. 37: 43-73. DOI: 10.1016/S0020-7462(00)00095-0  0.43
2001 Rozhkov I, Vakakis A, Rand R. Non-linear modal interactions in the oscillations of a liquid drop in a gravitational field International Journal of Non-Linear Mechanics. 36: 803-812. DOI: 10.1016/S0020-7462(00)00046-9  0.449
2001 Rand RH, Ramani DV. Nonlinear Normal Modes in a System with Nonholonomic Constraints Nonlinear Dynamics. 25: 49-64. DOI: 10.1007/978-94-017-2452-4_3  0.436
1999 Newman WI, Rand RH, Newman AL. Dynamics of a nonlinear parametrically excited partial differential equation Chaos. 9: 242-253. DOI: 10.1063/1.166397  0.453
1999 Haberman R, Rand R, Yuster T. Resonant capture and separatrix crossing in dual-spin spacecraft Nonlinear Dynamics. 18: 159-184. DOI: 10.1023/A:1008393913849  0.375
1998 Zounes RS, Rand RH. Transition curves for the quasi-periodic Mathieu equation Siam Journal On Applied Mathematics. 58: 1094-1115. DOI: 10.1137/S0036139996303877  0.436
1998 Wirkus S, Rand R, Ruina A. How to Pump a Swing The College Mathematics Journal. 29: 266-275. DOI: 10.1080/07468342.1998.11973953  0.751
1997 Rand RH, Howland HC, Applegate RA. Mathematical model of a Placido disk keratometer and its implications for recovery of corneal topography. Optometry and Vision Science : Official Publication of the American Academy of Optometry. 74: 926-30. PMID 9403889 DOI: 10.1097/00006324-199711000-00026  0.31
1997 Quinn D, Gladman B, Nicholson P, Rand R. Relaxation Oscillations in Tidally Evolving Satellites Celestial Mechanics and Dynamical Astronomy. 67: 111-130. DOI: 10.1023/A:1008240717133  0.425
1997 Chati M, Rand R, Mukherjee S. Modal Analysis Of A Cracked Beam Journal of Sound and Vibration. 207: 249-270. DOI: 10.1006/Jsvi.1997.1099  0.342
1996 Kinsey RJ, Mingori DL, Rand RH. Nonlinear Control of Dual-Spin Spacecraft During Despin Through Precession Phase Lock Journal of Guidance Control and Dynamics. 19: 60-67. DOI: 10.2514/3.21580  0.301
1996 Rand RH. Dynamics of a nonlinear parametrically-excited PDE: 2-term truncation Mechanics Research Communications. 23: 283-289. DOI: 10.1016/0093-6413(96)00024-9  0.35
1995 Rand RH, Quinn DD. Resonant Capture in a System of Two Coupled Homoclinic Oscillators Journal of Vibration and Control. 1: 41-56. DOI: 10.1177/107754639500100104  0.423
1994 Hall CD, Rand RH. Spinup Dynamics of Axial Dual-Spin Spacecraft Journal of Guidance Control and Dynamics. 17: 30-37. DOI: 10.2514/3.21155  0.383
1994 Lubkin S, Rand R. Oscillatory reaction-diffusion equations on rings Journal of Mathematical Biology. 32: 617-632. DOI: 10.1007/Bf00573464  0.329
1992 Vakakis A, Rand R. Normal modes and global dynamics of a two-degree-of-freedom non-linear system—II. High energies International Journal of Non-Linear Mechanics. 27: 875-888. DOI: 10.1016/0020-7462(92)90041-5  0.408
1992 Rand RH, Kinsey. RJ, Mingori DL. Dynamics of spinup through resonance International Journal of Non-Linear Mechanics. 27: 489-502. DOI: 10.1016/0020-7462(92)90015-Y  0.356
1991 Paidoussis MP, Li GX, Rand RH. Chaotic motions of a constrained pipe conveying fluid : comparison between simulation, analysis and experiment Journal of Applied Mechanics. 58: 559-565. DOI: 10.1115/1.2897220  0.313
1990 Li GX, Rand RH, Moon FC. Bifurcations and chaos in a forced zero-stiffness impact oscillator International Journal of Non-Linear Mechanics. 25: 417-432. DOI: 10.1016/0020-7462(90)90030-D  0.371
1990 Coppola VT, Rand RH. Chaos in a system with a periodically disappearing separatrix Nonlinear Dynamics. 1: 401-420. DOI: 10.1007/Bf01893171  0.363
1990 Coppola VT, Rand RH. Averaging using elliptic functions: approximation of limit cycles Acta Mechanica. 81: 125-142. DOI: 10.1007/Bf01176982  0.376
1989 Guckenheimer J, Rand R, Schlomiuk D. Degenerate homoclinic cycles in perturbations of quadratic Hamiltonian systems Nonlinearity. 2: 405-418. DOI: 10.1088/0951-7715/2/3/002  0.33
1989 Golnaraghi MF, Moon FC, Rand RH. Resonance in a high-speed flexible-arm robot Dynamics and Stability of Systems. 4: 169-188. DOI: 10.1080/02681118908806071  0.335
1989 Rand RH. Analytical approximation for period-doubling following a hopf bifurcation Mechanics Research Communications. 16: 117-123. DOI: 10.1016/0093-6413(89)90022-0  0.343
1989 Shaw SW, Rand RH. The transition to chaos in a simple mechanical system International Journal of Non-Linear Mechanics. 24: 41-56. DOI: 10.1016/0020-7462(89)90010-3  0.402
1989 Coppola VT, Rand RH. Computer Algebra Implementation of Lie Transforms for Hamiltonian Systems: Application to the Nonlinear Stability of L4 Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik. 69: 275-284. DOI: 10.1002/Zamm.19890690903  0.36
1988 Upadhyaya SK, Rand RH, Cooke JR. Role of stomatal oscillations on transpiration, assimilation and water-use efficiency of plants Ecological Modelling. 41: 27-40. DOI: 10.1016/0304-3800(88)90042-7  0.35
1988 Chakraborty T, Rand RH. The transition from phase locking to drift in a system of two weakly coupled van der pol oscillators International Journal of Non-Linear Mechanics. 23: 369-376. DOI: 10.1016/0020-7462(88)90034-0  0.4
1988 Len JL, Rand RH. Lie transforms applied to a non-linear parametric excitation problem International Journal of Non-Linear Mechanics. 23: 297-313. DOI: 10.1016/0020-7462(88)90027-3  0.416
1988 Storti D, Rand RH. Subharmonic entrainment of a forced relaxation oscillator International Journal of Non-Linear Mechanics. 23: 231-239. DOI: 10.1016/0020-7462(88)90014-5  0.43
1988 Coppola VT, Rand RH. Computer algebra, Lie Transforms and the nonlinear stability of L 4 Celestial Mechanics and Dynamical Astronomy. 45: 103-104. DOI: 10.1007/978-94-009-0985-4_20  0.346
1987 Rand RH, Keith WL. Determinacy of degenerate equilibria with linear part x'=y , y'= 0 using MACSYMA Applied Mathematics and Computation. 21: 1-19. DOI: 10.1016/0096-3003(87)90006-3  0.4
1987 Storti D, Rand RH. A simplified model of coupled relaxation oscillators International Journal of Non-Linear Mechanics. 22: 283-289. DOI: 10.1016/0020-7462(87)90020-5  0.427
1986 Storti DW, Rand RH. DYNAMICS OF TWO STRONGLY COUPLED RELAXATION OSCILLATORS Siam Journal On Applied Mathematics. 46: 56-67. DOI: 10.1137/0146006  0.504
1985 Month LA, Rand RH. Stability of a Rigid Body With an Oscillating Particle: An Application of MACSYMA Journal of Applied Mechanics. 52: 686-692. DOI: 10.1115/1.3169122  0.304
1985 Keith WL, Rand RH. Dynamics of a system exhibiting the global bifurcation of a limit cycle at infinity International Journal of Non-Linear Mechanics. 20: 325-338. DOI: 10.1016/0020-7462(85)90040-X  0.5
1984 Keith WL, Rand RH. 1∶1 and 2∶1 phase entrainment in a system of two coupled limit cycle oscillators Journal of Mathematical Biology. 20: 133-152. DOI: 10.1007/Bf00285342  0.438
1983 Upadhyaya SK, Rand RH, Cooke JR. A mathematical model of the effects of Co2 on stomatal dynamics Journal of Theoretical Biology. 101: 415-440. DOI: 10.1016/0022-5193(83)90148-0  0.375
1982 Cohen AH, Holmes PJ, Rand RH. The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: a mathematical model. Journal of Mathematical Biology. 13: 345-69. PMID 7057117 DOI: 10.1007/Bf00276069  0.342
1982 Month LA, Rand RH. Bifurcation of 4:1 subharmonics in the nonlinear mathieu equation Mechanics Research Communications. 9: 233-240. DOI: 10.1016/0093-6413(82)90072-6  0.418
1982 Storti DW, Rand RH. Dynamics of two strongly coupled van der pol oscillators International Journal of Non-Linear Mechanics. 17: 143-152. DOI: 10.1016/0020-7462(82)90014-2  0.482
1982 Rand RH, Upadhyaya SK, Cooke JR, Storti DW. Hopf bifurcation in a stomatal oscillator Journal of Mathematical Biology. 12: 1-11. DOI: 10.1007/Bf00275199  0.381
1982 Rand RH, Storti DW, Upadhyaya SK, Cooke JR. Dynamics of coupled stomatal oscillators Journal of Mathematical Biology. 15: 131-149. DOI: 10.1007/Bf00275070  0.437
1981 Holmes CA, Rand RH. Coupled oscillators as a model for nonlinear parametric excitation Mechanics Research Communications. 8: 263-268. DOI: 10.1016/0093-6413(81)90028-8  0.433
1980 Month LA, Rand RH. An Application of the Poincaré Map to the Stability of Nonlinear Normal Modes Journal of Applied Mechanics. 47: 645-651. DOI: 10.1115/1.3153747  0.347
1980 Rand RH, Holmes PJ. Bifurcation of periodic motions in two weakly coupled van der Pol oscillators International Journal of Non-Linear Mechanics. 15: 387-399. DOI: 10.1016/0020-7462(80)90024-4  0.437
1979 Johnson TL, Rand RH. On the existence and bifurcation of minimal normal modes International Journal of Non-Linear Mechanics. 14: 1-12. DOI: 10.1016/0020-7462(79)90024-6  0.362
1978 Rand RH. The dynamics of an evaporating meniseus Acta Mechanica. 29: 135-146. DOI: 10.1007/Bf01176632  0.445
1977 Month LA, Rand RH. The Stability of Bifurcating Periodic Solutions in a Two-Degree-of-Freedom Nonlinear System Journal of Applied Mechanics. 44: 782-784. DOI: 10.1115/1.3424180  0.389
1975 Podgorski WA, Krauter AI, Rand RH. The Wheel Shimmy Problem: Its Relationship to Wheel and Road Irregularities Vehicle System Dynamics. 4: 9-41. DOI: 10.1080/00423117508968459  0.397
1974 Rand RH. A direct method for non-linear normal modes International Journal of Non-Linear Mechanics. 9: 363-368. DOI: 10.1016/0020-7462(74)90021-3  0.369
1973 Cooke JR, Rand RH. A mathematical study of resonance in intact fruits and vegetables using a 3-media elastic sphere model Journal of Agricultural Engineering Research. 18: 141-157. DOI: 10.1016/0021-8634(73)90023-1  0.305
1973 Rand RH. The geometrical stability of non-linear normal modes in two degree of freedom systems International Journal of Non-Linear Mechanics. 8: 161-168. DOI: 10.1016/0020-7462(73)90033-4  0.401
1972 Rand R, Vito R. Nonlinear Vibrations of Two-Degree-of-Freedom Systems With Repeated Linearized Natural Frequencies Journal of Applied Mechanics. 39: 296-297. DOI: 10.1115/1.3422640  0.672
1972 Rand R, Podgorski W. Geometrical dynamics: A new approach to periodic orbits around L4 Celestial Mechanics. 6: 416-420. DOI: 10.1007/Bf01227755  0.392
1971 Rand RH. Nonlinear Normal Modes in Two-Degree-of-Freedom Systems Journal of Applied Mechanics. 38: 561-561. DOI: 10.1115/1.3408826  0.365
1971 Rand RH. A higher order approximation for non-linear normal modes in two degree of freedom systems International Journal of Non-Linear Mechanics. 6: 545-547. DOI: 10.1016/0020-7462(71)90049-7  0.391
1970 Rand RH, Simon H. On the Stability of a Differential Equation With Application to Parametrically Excited Systems Journal of Applied Mechanics. 37: 218-220. DOI: 10.1115/1.3408447  0.398
1970 Rand RH, Cooke JR. Vibratory fruit harvesting: A non-linear theory of fruit-stem dynamics Journal of Agricultural Engineering Research. 15: 347-356,IN1,357-363. DOI: 10.1016/0021-8634(70)90095-8  0.441
1969 Alfriend KT, Rand RH. Stability of the triangular points in the elliptic restricted problem of three bodies. Aiaa Journal. 7: 1024-1028. DOI: 10.2514/3.5270  0.325
1969 Rand RH. On the Stability of Hill's Equation With Four Independent Parameters Journal of Applied Mechanics. 36: 885-886. DOI: 10.1115/1.3564793  0.371
1969 Rand RH, Tseng SF. On the Stability of the Vibrations of Two Coupled Particles in the Plane Journal of Applied Mechanics. 36: 417-419. DOI: 10.1115/1.3564695  0.313
1969 Rand RH, Tseng S. On the Stability of a Differential Equation With Application to the Vibrations of a Particle in the Plane Journal of Applied Mechanics. 36: 311-313. DOI: 10.1115/1.3564628  0.35
1968 Rand RH. Torsional Vibrations of Elastic Prolate Spheroids Journal of the Acoustical Society of America. 44: 749-751. DOI: 10.1121/1.1911172  0.37
1967 Rand R, Dimaggio F. Vibrations of Fluid†Filled Spherical and Spheroidal Shells Journal of the Acoustical Society of America. 42: 1278-1286. DOI: 10.1121/1.1910717  0.358
Show low-probability matches.