John Guckenheimer

According to our database, John Guckenheimer authored at least 41 papers between 1983 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2023

Mode switching in organisms for solving explore-versus-exploit problems.

Debojyoti Biswas, Andrew G. Lamperski, Yu Yang, Kathleen Hoffman, John Guckenheimer, Eric S. Fortune, Noah J. Cowan

Nat. Mac. Intell., October, 2023

2022

Staying the course: Locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds.

Juan M. Bello-Rivas, Anastasia S. Georgiou, John Guckenheimer, Ioannis G. Kevrekidis

CoRR, 2022

2019

Locomotion: exploiting noise for state estimation.

John Guckenheimer, Aurya Javeed

Biol. Cybern., 2019

2015

Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations.

John Guckenheimer, Ian Lizarraga

SIAM J. Appl. Dyn. Syst., 2015

2014

Flight Stability of Mosquitos: A Reduced Model.

Sarah Iams, John Guckenheimer

SIAM J. Appl. Math., 2014

2013

Multiple Time Scale Analysis of a Model Belousov-Zhabotinskii Reaction.

John Guckenheimer, Chris Scheper

SIAM J. Appl. Dyn. Syst., 2013

2012

Mixed-Mode Oscillations with Multiple Time Scales.

Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger

SIAM Rev., 2012

Unfoldings of Singular Hopf Bifurcation.

John Guckenheimer, Philipp Meerkamp

SIAM J. Appl. Dyn. Syst., 2012

Rigorous Enclosures of a Slow Manifold.

John Guckenheimer, Tomas Johnson, Philipp Meerkamp

SIAM J. Appl. Dyn. Syst., 2012

2011

A Geometric Model for Mixed-Mode Oscillations in a Chemical System.

John Guckenheimer, Chris Scheper

SIAM J. Appl. Dyn. Syst., 2011

Synaptic patterning of left-right alternation in a computational model of the rodent hindlimb central pattern generator.

William Erik Sherwood, Ronald M. Harris-Warrick, John Guckenheimer

J. Comput. Neurosci., 2011

2010

Dissecting the Phase Response of a Model Bursting Neuron.

William Erik Sherwood, John Guckenheimer

SIAM J. Appl. Dyn. Syst., 2010

Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System.

John Guckenheimer, Christian Kuehn

SIAM J. Appl. Dyn. Syst., 2010

2009

Computing Slow Manifolds of Saddle Type.

John Guckenheimer, Christian Kuehn

SIAM J. Appl. Dyn. Syst., 2009

2008

Estimating Effective Degrees of Freedom in Motor Systems.

Robert H. Clewley, John M. Guckenheimer, Francisco J. Valero Cuevas

IEEE Trans. Biomed. Eng., 2008

Singular Hopf Bifurcation in Systems with Two Slow Variables.

John Guckenheimer

SIAM J. Appl. Dyn. Syst., 2008

Hopf-Hopf bifurcation.

John Guckenheimer, Yuri A. Kuznetsov

Scholarpedia, 2008

Parameter estimation for bursting neural models.

Joseph H. Tien, John Guckenheimer

J. Comput. Neurosci., 2008

2007

Fold-Hopf bifurcation.

John Guckenheimer, Yuri A. Kuznetsov

Scholarpedia, 2007

Bautin bifurcation.

John Guckenheimer, Yuri A. Kuznetsov

Scholarpedia, 2007

Cusp bifurcation.

John Guckenheimer, Yuri A. Kuznetsov

Scholarpedia, 2007

Bogdanov-Takens bifurcation.

John Guckenheimer, Yuri A. Kuznetsov

Scholarpedia, 2007

Bifurcation.

John Guckenheimer

Scholarpedia, 2007

2006

The Dynamics of Legged Locomotion: Models, Analyses, and Challenges.

Philip Holmes, Robert J. Full, Daniel E. Koditschek, John Guckenheimer

SIAM Rev., 2006

2005

A Survey of Methods for Computing (un)Stable Manifolds of Vector Fields.

Bernd Krauskopf, Hinke M. Osinga, Eusebius J. Doedel, Michael E. Henderson, John Guckenheimer, Alexander Vladimirsky, Michael Dellnitz, Oliver Junge

Int. J. Bifurc. Chaos, 2005

Bifurcations of Relaxation oscillations Near Folded saddles.

John Guckenheimer, Kathleen Hoffman, Warren Weckesser

Int. J. Bifurc. Chaos, 2005

2004

A Fast Method for Approximating Invariant Manifolds.

John Guckenheimer, Alexander Vladimirsky

SIAM J. Appl. Dyn. Syst., 2004

2003

The Forced van der Pol Equation I: The Slow Flow and Its Bifurcations.

John Guckenheimer, Kathleen Hoffman, Warren Weckesser

SIAM J. Appl. Dyn. Syst., 2003

The Forced van der Pol Equation II: Canards in the Reduced System.

Katherine A. Bold, Chantal Edwards, John Guckenheimer, Sabyasachi Guharay, Kathleen Hoffman, Judith Hubbard, Ricardo A. Oliva, Warren Weckesser

SIAM J. Appl. Dyn. Syst., 2003

2002

Chaos in the Hodgkin-Huxley Model.

John Guckenheimer, Ricardo A. Oliva

SIAM J. Appl. Dyn. Syst., 2002

2000

Computing Periodic Orbits and their Bifurcations with Automatic Differentiation.

John Guckenheimer, Brian Meloon

SIAM J. Sci. Comput., 2000

Numerical Computation of Canards.

John Guckenheimer, Kathleen Hoffman, Warren Weckesser

Int. J. Bifurc. Chaos, 2000

1999

An Improved Parameter Estimation Method for Hodgkin-Huxley Models.

Allan R. Willms, Deborah J. Baro, Ronald M. Harris-Warrick, John Guckenheimer

J. Comput. Neurosci., 1999

1997

Bifurcation, Bursting, and Spike Frequency Adaptation.

John Guckenheimer, Ronald M. Harris-Warrick, Jack Peck, Allan R. Willms

J. Comput. Neurosci., 1997

1996

Computing Hopf Bifurcations. II: Three Examples From Neurophysiology.

John Guckenheimer, Mark Myers

SIAM J. Sci. Comput., 1996

1995

A robust hybrid stabilization strategy for equilibria.

John Guckenheimer

IEEE Trans. Autom. Control., 1995

Phase Portraits of Planar Vector Fields: Computer Proofs.

John Guckenheimer

Exp. Math., 1995

1994

Planar Hybrid Systems.

John Guckenheimer, Stewart Johnson

Proceedings of the Hybrid Systems II, 1994

1993

Reduction of a channel-based model for a stomatogastric ganglion LP neuron.

David Golomb, John Guckenheimer, Shay Gueron

Biol. Cybern., 1993

1992

A Dynamical Simulation Facility for Hybrid Systems.

Allen Back, John Guckenheimer, Mark Myers

Proceedings of the Hybrid Systems, 1992

1983

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

John Guckenheimer, Philip Holmes

Applied Mathematical Sciences 42, Springer, ISBN: 978-1-4612-1140-2, 1983