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- Publications
- Influence
Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields
- J. Guckenheimer, P. Holmes, M. Slemrod
- Mathematics, Physics
- 1 August 1983
TLDR
The Dynamics of Legged Locomotion: Models, Analyses, and Challenges
- P. Holmes, R. Full, D. Koditschek, J. Guckenheimer
- Computer Science
- SIAM Rev.
- 1 February 2006
TLDR
Isochrons and phaseless sets
- J. Guckenheimer
- Mathematics, Medicine
- Journal of mathematical biology
- 1 September 1975
SummaryWinfree has developed mathematical models for his phase resetting experiments on biological clocks. These models lead him to ask a number of mathematical questions concerning dynamical… Expand
Mixed-Mode Oscillations with Multiple Time Scales
- M. Desroches, J. Guckenheimer, B. Krauskopf, C. Kuehn, H. Osinga, M. Wechselberger
- Computer Science, Mathematics
- SIAM Rev.
- 1 May 2012
Mixed-mode oscillations (MMOs) are trajectories of a dynamical system in which there is an alternation between oscillations of distinct large and small amplitudes. MMOs have been observed and studied… Expand
Structurally stable heteroclinic cycles
- J. Guckenheimer, P. Holmes
- Physics
- 1988
This paper describes a previously undocumented phenomenon in dynamical systems theory; namely, the occurrence of heteroclinic cycles that are structurally stable within the space of C r vector fields… Expand
Structural stability of Lorenz attractors
- J. Guckenheimer, R. F. Williams
- Mathematics
- 1 December 1979
© Publications mathématiques de l’I.H.É.S., 1979, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://… Expand
Singular Hopf Bifurcation in Systems with Two Slow Variables
- J. Guckenheimer
- Computer Science, Mathematics
- SIAM J. Appl. Dyn. Syst.
- 31 October 2008
TLDR
Periodic points and topological entropy of one dimensional maps
- Louis Block, J. Guckenheimer, M. Misiurewicz, L. Young
- Mathematics
- 1980
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