John Guckenheimer

Affiliations:
  • Cornell University, Ithaca, NY, USA


According to our database1, John Guckenheimer authored at least 39 papers between 1983 and 2019.

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Bibliography

2019
Locomotion: exploiting noise for state estimation.
Biol. Cybern., 2019

2015
Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations.
SIAM J. Appl. Dyn. Syst., 2015

2014
Flight Stability of Mosquitos: A Reduced Model.
SIAM J. Appl. Math., 2014

2013
Multiple Time Scale Analysis of a Model Belousov-Zhabotinskii Reaction.
SIAM J. Appl. Dyn. Syst., 2013

2012
Mixed-Mode Oscillations with Multiple Time Scales.
SIAM Rev., 2012

Unfoldings of Singular Hopf Bifurcation.
SIAM J. Appl. Dyn. Syst., 2012

Rigorous Enclosures of a Slow Manifold.
SIAM J. Appl. Dyn. Syst., 2012

2011
A Geometric Model for Mixed-Mode Oscillations in a Chemical System.
SIAM J. Appl. Dyn. Syst., 2011

Synaptic patterning of left-right alternation in a computational model of the rodent hindlimb central pattern generator.
J. Comput. Neurosci., 2011

2010
Dissecting the Phase Response of a Model Bursting Neuron.
SIAM J. Appl. Dyn. Syst., 2010

Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System.
SIAM J. Appl. Dyn. Syst., 2010

2009
Computing Slow Manifolds of Saddle Type.
SIAM J. Appl. Dyn. Syst., 2009

2008
Estimating Effective Degrees of Freedom in Motor Systems.
IEEE Trans. Biomed. Eng., 2008

Singular Hopf Bifurcation in Systems with Two Slow Variables.
SIAM J. Appl. Dyn. Syst., 2008

Hopf-Hopf bifurcation.
Scholarpedia, 2008

Parameter estimation for bursting neural models.
J. Comput. Neurosci., 2008

2007
Fold-Hopf bifurcation.
Scholarpedia, 2007

Bautin bifurcation.
Scholarpedia, 2007

Cusp bifurcation.
Scholarpedia, 2007

Bogdanov-Takens bifurcation.
Scholarpedia, 2007

Bifurcation.
Scholarpedia, 2007

2006
The Dynamics of Legged Locomotion: Models, Analyses, and Challenges.
SIAM Rev., 2006

2005
A Survey of Methods for Computing (un)Stable Manifolds of Vector Fields.
Int. J. Bifurc. Chaos, 2005

Bifurcations of Relaxation oscillations Near Folded saddles.
Int. J. Bifurc. Chaos, 2005

2004
A Fast Method for Approximating Invariant Manifolds.
SIAM J. Appl. Dyn. Syst., 2004

2003
The Forced van der Pol Equation I: The Slow Flow and Its Bifurcations.
SIAM J. Appl. Dyn. Syst., 2003

The Forced van der Pol Equation II: Canards in the Reduced System.
SIAM J. Appl. Dyn. Syst., 2003

2002
Chaos in the Hodgkin-Huxley Model.
SIAM J. Appl. Dyn. Syst., 2002

2000
Computing Periodic Orbits and their Bifurcations with Automatic Differentiation.
SIAM J. Sci. Comput., 2000

Numerical Computation of Canards.
Int. J. Bifurc. Chaos, 2000

1999
An Improved Parameter Estimation Method for Hodgkin-Huxley Models.
J. Comput. Neurosci., 1999

1997
Bifurcation, Bursting, and Spike Frequency Adaptation.
J. Comput. Neurosci., 1997

1996
Computing Hopf Bifurcations. II: Three Examples From Neurophysiology.
SIAM J. Sci. Comput., 1996

1995
A robust hybrid stabilization strategy for equilibria.
IEEE Trans. Autom. Control., 1995

Phase Portraits of Planar Vector Fields: Computer Proofs.
Exp. Math., 1995

1994
Planar Hybrid Systems.
Proceedings of the Hybrid Systems II, 1994

1993
Reduction of a channel-based model for a stomatogastric ganglion LP neuron.
Biol. Cybern., 1993

1992
A Dynamical Simulation Facility for Hybrid Systems.
Proceedings of the Hybrid Systems, 1992

1983
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Applied Mathematical Sciences 42, Springer, ISBN: 978-1-4612-1140-2, 1983


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