John Guckenheimer
John Guckenheimer
Professor Emeritus of Mathematics, Cornell University
Verified email at
Cited by
Cited by
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
J Guckenheimer, P Holmes
Springer Science & Business Media, 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
Structural stability of Lorenz attractors
J Guckenheimer, RF Williams
Publications Mathématiques de l'IHÉS 50, 59-72, 1979
Sensitive dependence to initial conditions for one dimensional maps
J Guckenheimer
Communications in Mathematical Physics 70 (2), 133-160, 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
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
The dynamics of density dependent population models
J Guckenheimer, G Oster, A Ipaktchi
Journal of Mathematical Biology 4 (2), 101-147, 1977
Isochrons and phaseless sets
J Guckenheimer
Journal of Mathematical Biology 1, 259-273, 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
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
Dynamic models in biology
SP Ellner, J Guckenheimer
Princeton University Press, 2006
Structurally stable heteroclinic cycles
J Guckenheimer, P Holmes
Mathematical Proceedings of the Cambridge Philosophical Society 103 (1), 189-192, 1988
A strange, strange attractor, The Hopf bifurcation and its applications
J Guckenheimer
Applied Mathematical Series 19, 368-381, 1976
A dynamical simulation facility for hybrid systems
A Back, J Guckenheimer, M Myers
International Hybrid Systems Workshop, 255-267, 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
Kuramoto–Sivashinsky dynamics on the center–unstable manifold
D Armbruster, J Guckenheimer, P Holmes
SIAM Journal on Applied Mathematics 49 (3), 676-691, 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
On the bifurcation of maps of the interval
J Guckenheimer
Inventiones mathematicae 39 (2), 165-178, 1977
Computing hopf bifurcations i
J Guckenheimer, M Myers, B Sturmfels
SIAM Journal on Numerical Analysis 34 (1), 1-21, 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
The system can't perform the operation now. Try again later.
Articles 1–20