| Nonlinear oscillations, dynamical systems, and bifurcations of vector fields J Guckenheimer, P Holmes Springer Science & Business Media, 2013 | 24621 | 2013 |
| The dynamics of legged locomotion: Models, analyses, and challenges P Holmes, RJ Full, D Koditschek, J Guckenheimer SIAM review 48 (2), 207-304, 2006 | 913 | 2006 |
| Structural stability of Lorenz attractors J Guckenheimer, RF Williams Publications Mathématiques de l'IHÉS 50, 59-72, 1979 | 794 | 1979 |
| Sensitive dependence to initial conditions for one dimensional maps J Guckenheimer Communications in Mathematical Physics 70 (2), 133-160, 1979 | 615 | 1979 |
| Mixed-mode oscillations with multiple time scales M Desroches, J Guckenheimer, B Krauskopf, C Kuehn, HM Osinga, ... Siam Review 54 (2), 211-288, 2012 | 576 | 2012 |
| Periodic points and topological entropy of one dimensional maps L Block, J Guckenheimer, M Misiurewicz, LS Young Global Theory of Dynamical Systems: Proceedings of an International …, 1980 | 494 | 1980 |
| The dynamics of density dependent population models J Guckenheimer, G Oster, A Ipaktchi Journal of Mathematical Biology 4 (2), 101-147, 1977 | 493 | 1977 |
| Isochrons and phaseless sets J Guckenheimer Journal of Mathematical Biology 1, 259-273, 1975 | 437 | 1975 |
| Heteroclinic cycles and modulated travelling waves in systems with O (2) symmetry D Armbruster, J Guckenheimer, P Holmes Physica D: Nonlinear Phenomena 29 (3), 257-282, 1988 | 399 | 1988 |
| A survey of methods for computing (un) stable manifolds of vector fields B Krauskopf, HM Osinga, EJ Doedel, ME Henderson, J Guckenheimer, ... International Journal of Bifurcation and Chaos 15 (03), 763-791, 2005 | 362 | 2005 |
| Dynamic models in biology SP Ellner, J Guckenheimer Princeton University Press, 2006 | 352 | 2006 |
| Structurally stable heteroclinic cycles J Guckenheimer, P Holmes Mathematical Proceedings of the Cambridge Philosophical Society 103 (1), 189-192, 1988 | 350 | 1988 |
| A strange, strange attractor, The Hopf bifurcation and its applications J Guckenheimer Applied Mathematical Series 19, 368-381, 1976 | 342* | 1976 |
| A dynamical simulation facility for hybrid systems A Back, J Guckenheimer, M Myers International Hybrid Systems Workshop, 255-267, 1991 | 278 | 1991 |
| Three coupled oscillators: mode-locking, global bifurcations and toroidal chaos C Baesens, J Guckenheimer, S Kim, RS MacKay Physica D: Nonlinear Phenomena 49 (3), 387-475, 1991 | 269 | 1991 |
| Kuramoto–Sivashinsky dynamics on the center–unstable manifold D Armbruster, J Guckenheimer, P Holmes SIAM Journal on Applied Mathematics 49 (3), 676-691, 1989 | 238 | 1989 |
| DsTool: Computer assisted exploration of dynamical systems A Back, J Guckenheimer, MR Myers, FJ Wicklin, PA Worfolk Notices Amer. Math. Soc 39 (4), 303-309, 1992 | 226 | 1992 |
| On the bifurcation of maps of the interval J Guckenheimer Inventiones mathematicae 39 (2), 165-178, 1977 | 225 | 1977 |
| Computing hopf bifurcations i J Guckenheimer, M Myers, B Sturmfels SIAM Journal on Numerical Analysis 34 (1), 1-21, 1997 | 220 | 1997 |
| Dopamine modulation of two subthreshold currents produces phase shifts in activity of an identified motoneuron RM Harris-Warrick, LM Coniglio, RM Levini, S Gueron, J Guckenheimer Journal of neurophysiology 74 (4), 1404-1420, 1995 | 219 | 1995 |
