John Guckenheimer

Publication Activity (10 Years)

Years Active: 1992-2023
Publications (10 Years): 4

Top Topics

Dynamical Systems

State Estimation

Riemannian Manifolds

Laplace Beltrami

Top Venues

SIAM J. Appl. Dyn. Syst.

Nat. Mac. Intell.

Publications

Debojyoti Biswas, Andrew G. Lamperski, Yu Yang, Kathleen Hoffman, John Guckenheimer, Eric S. Fortune, Noah J. Cowan
Mode switching in organisms for solving explore-versus-exploit problems. Nat. Mac. Intell. 5 (11) (2023)
Juan M. Bello-Rivas, Anastasia S. Georgiou, John Guckenheimer, Ioannis G. Kevrekidis
Staying the course: Locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds. CoRR (2022)
John Guckenheimer, Aurya Javeed
Locomotion: exploiting noise for state estimation. Biol. Cybern. 113 (1-2) (2019)
John Guckenheimer, Ian Lizarraga
Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations. SIAM J. Appl. Dyn. Syst. 14 (2) (2015)
Sarah Iams, John Guckenheimer
Flight Stability of Mosquitos: A Reduced Model. SIAM J. Appl. Math. 74 (5) (2014)
John Guckenheimer, Chris Scheper
Multiple Time Scale Analysis of a Model Belousov-Zhabotinskii Reaction. SIAM J. Appl. Dyn. Syst. 12 (4) (2013)
John Guckenheimer, Tomas Johnson, Philipp Meerkamp
Rigorous Enclosures of a Slow Manifold. SIAM J. Appl. Dyn. Syst. 11 (3) (2012)
Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger
Mixed-Mode Oscillations with Multiple Time Scales. SIAM Rev. 54 (2) (2012)
John Guckenheimer, Philipp Meerkamp
Unfoldings of Singular Hopf Bifurcation. SIAM J. Appl. Dyn. Syst. 11 (4) (2012)
John Guckenheimer, Chris Scheper
A Geometric Model for Mixed-Mode Oscillations in a Chemical System. SIAM J. Appl. Dyn. Syst. 10 (1) (2011)
William Erik Sherwood, Ronald M. Harris-Warrick, John Guckenheimer
Synaptic patterning of left-right alternation in a computational model of the rodent hindlimb central pattern generator. J. Comput. Neurosci. 30 (2) (2011)
John Guckenheimer, Christian Kuehn
Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System. SIAM J. Appl. Dyn. Syst. 9 (1) (2010)
William Erik Sherwood, John Guckenheimer
Dissecting the Phase Response of a Model Bursting Neuron. SIAM J. Appl. Dyn. Syst. 9 (3) (2010)
John Guckenheimer, Christian Kuehn
Computing Slow Manifolds of Saddle Type. SIAM J. Appl. Dyn. Syst. 8 (3) (2009)
Joseph H. Tien, John Guckenheimer
Parameter estimation for bursting neural models. J. Comput. Neurosci. 24 (3) (2008)
John Guckenheimer
Singular Hopf Bifurcation in Systems with Two Slow Variables. SIAM J. Appl. Dyn. Syst. 7 (4) (2008)
John Guckenheimer, Yuri A. Kuznetsov
Hopf-Hopf bifurcation. Scholarpedia 3 (8) (2008)
John Guckenheimer
Bifurcation. Scholarpedia 2 (6) (2007)
John Guckenheimer, Yuri A. Kuznetsov
Bogdanov-Takens bifurcation. Scholarpedia 2 (1) (2007)
John Guckenheimer, Yuri A. Kuznetsov
Bautin bifurcation. Scholarpedia 2 (5) (2007)
John Guckenheimer, Yuri A. Kuznetsov
Cusp bifurcation. Scholarpedia 2 (4) (2007)
John Guckenheimer, Yuri A. Kuznetsov
Fold-Hopf bifurcation. Scholarpedia 2 (10) (2007)
Philip Holmes, Robert J. Full, Daniel E. Koditschek, John Guckenheimer
The Dynamics of Legged Locomotion: Models, Analyses, and Challenges. SIAM Rev. 48 (2) (2006)
John Guckenheimer, Kathleen Hoffman, Warren Weckesser
Bifurcations of Relaxation oscillations Near Folded saddles. Int. J. Bifurc. Chaos 15 (11) (2005)
Bernd Krauskopf, Hinke M. Osinga, Eusebius J. Doedel, Michael E. Henderson, John Guckenheimer, Alexander Vladimirsky, Michael Dellnitz, Oliver Junge
A Survey of Methods for Computing (un)Stable Manifolds of Vector Fields. Int. J. Bifurc. Chaos 15 (3) (2005)
John Guckenheimer, Alexander Vladimirsky
A Fast Method for Approximating Invariant Manifolds. SIAM J. Appl. Dyn. Syst. 3 (3) (2004)
John Guckenheimer, Kathleen Hoffman, Warren Weckesser
The Forced van der Pol Equation I: The Slow Flow and Its Bifurcations. SIAM J. Appl. Dyn. Syst. 2 (1) (2003)
Katherine A. Bold, Chantal Edwards, John Guckenheimer, Sabyasachi Guharay, Kathleen Hoffman, Judith Hubbard, Ricardo A. Oliva, Warren Weckesser
The Forced van der Pol Equation II: Canards in the Reduced System. SIAM J. Appl. Dyn. Syst. 2 (4) (2003)
John Guckenheimer, Ricardo A. Oliva
Chaos in the Hodgkin-Huxley Model. SIAM J. Appl. Dyn. Syst. 1 (1) (2002)
John Guckenheimer, Kathleen Hoffman, Warren Weckesser
Numerical Computation of Canards. Int. J. Bifurc. Chaos 10 (12) (2000)
John Guckenheimer, Brian Meloon
Computing Periodic Orbits and their Bifurcations with Automatic Differentiation. SIAM J. Sci. Comput. 22 (3) (2000)
Allan R. Willms, Deborah J. Baro, Ronald M. Harris-Warrick, John Guckenheimer
An Improved Parameter Estimation Method for Hodgkin-Huxley Models. J. Comput. Neurosci. 6 (2) (1999)
John Guckenheimer, Ronald M. Harris-Warrick, Jack Peck, Allan R. Willms
Bifurcation, Bursting, and Spike Frequency Adaptation. J. Comput. Neurosci. 4 (3) (1997)
John Guckenheimer, Mark Myers
Computing Hopf Bifurcations. II: Three Examples From Neurophysiology. SIAM J. Sci. Comput. 17 (6) (1996)
John Guckenheimer
Phase Portraits of Planar Vector Fields: Computer Proofs. Exp. Math. 4 (2) (1995)
John Guckenheimer
A robust hybrid stabilization strategy for equilibria. IEEE Trans. Autom. Control. 40 (2) (1995)
John Guckenheimer, Stewart Johnson
Planar Hybrid Systems. Hybrid Systems (1994)
David Golomb, John Guckenheimer, Shay Gueron
Reduction of a channel-based model for a stomatogastric ganglion LP neuron. Biol. Cybern. 69 (2) (1993)
Allen Back, John Guckenheimer, Mark Myers
A Dynamical Simulation Facility for Hybrid Systems. Hybrid Systems (1992)