John Guckenheimer - researchr alias

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Viewing Publication 1 - 39 from 39

2023

Mode switching in organisms for solving explore-versus-exploit problemsDebojyoti Biswas, Andrew G. Lamperski, Yu Yang, Kathleen Hoffman, John Guckenheimer, Eric S. Fortune, Noah J. Cowan. natmi, 5(11):1285-1296, October 2023. [doi]

2019

Locomotion: exploiting noise for state estimationJohn Guckenheimer, Aurya Javeed. bc, 113(1-2):93-104, 2019. [doi]

2015

Shilnikov Homoclinic Bifurcation of Mixed-Mode OscillationsJohn Guckenheimer, Ian Lizarraga. siamads, 14(2):764-786, 2015. [doi]

2014

Flight Stability of Mosquitos: A Reduced ModelSarah Iams, John Guckenheimer. siamam, 74(5):1535-1550, 2014. [doi]

2013

Multiple Time Scale Analysis of a Model Belousov-Zhabotinskii ReactionJohn Guckenheimer, Chris Scheper. siamads, 12(4):1968-1996, 2013. [doi]

2012

Mixed-Mode Oscillations with Multiple Time ScalesMathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger. siamrev, 54(2):211-288, 2012. [doi]

Unfoldings of Singular Hopf BifurcationJohn Guckenheimer, Philipp Meerkamp. siamads, 11(4):1325-1359, 2012. [doi]

Rigorous Enclosures of a Slow ManifoldJohn Guckenheimer, Tomas Johnson, Philipp Meerkamp. siamads, 11(3):831-863, 2012. [doi]

2011

A Geometric Model for Mixed-Mode Oscillations in a Chemical SystemJohn Guckenheimer, Chris Scheper. siamads, 10(1):92-128, 2011. [doi]

Synaptic patterning of left-right alternation in a computational model of the rodent hindlimb central pattern generatorWilliam Erik Sherwood, Ronald M. Harris-Warrick, John Guckenheimer. jcns, 30(2):323-360, 2011. [doi]

2010

Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full SystemJohn Guckenheimer, Christian Kuehn. siamads, 9(1):138-153, 2010. [doi]

Dissecting the Phase Response of a Model Bursting NeuronWilliam Erik Sherwood, John Guckenheimer. siamads, 9(3):659-703, 2010. [doi]

2009

Computing Slow Manifolds of Saddle TypeJohn Guckenheimer, Christian Kuehn. siamads, 8(3):854-879, 2009. [doi]

2008

Singular Hopf Bifurcation in Systems with Two Slow VariablesJohn Guckenheimer. siamads, 7(4):1355-1377, 2008. [doi]

Hopf-Hopf bifurcationJohn Guckenheimer, Yuri A. Kuznetsov. scholarpedia, 3(8):1856, 2008. [doi]

Parameter estimation for bursting neural modelsJoseph H. Tien, John Guckenheimer. jcns, 24(3):358-373, 2008. [doi]

2007

BifurcationJohn Guckenheimer. scholarpedia, 2(6):1517, 2007. [doi]

Bogdanov-Takens bifurcationJohn Guckenheimer, Yuri A. Kuznetsov. scholarpedia, 2(1):1854, 2007. [doi]

Bautin bifurcationJohn Guckenheimer, Yuri A. Kuznetsov. scholarpedia, 2(5):1853, 2007. [doi]

Fold-Hopf bifurcationJohn Guckenheimer, Yuri A. Kuznetsov. scholarpedia, 2(10):1855, 2007. [doi]

Cusp bifurcationJohn Guckenheimer, Yuri A. Kuznetsov. scholarpedia, 2(4):1852, 2007. [doi]

2006

The Dynamics of Legged Locomotion: Models, Analyses, and ChallengesPhilip Holmes, Robert J. Full, Daniel E. Koditschek, John Guckenheimer. siamrev, 48(2):207-304, 2006. [doi]

2005

Bifurcations of Relaxation oscillations Near Folded saddlesJohn Guckenheimer, Kathleen Hoffman, Warren Weckesser. IJBC, 15(11):3411-3421, 2005. [doi]

A Survey of Methods for Computing (un)Stable Manifolds of Vector FieldsBernd Krauskopf, Hinke M. Osinga, Eusebius J. Doedel, M. E. Henderson, John Guckenheimer, A. Vladimirsky, M. Dellnitz, O. Junge. IJBC, 15(3):763-791, 2005. [doi]

2004

A Fast Method for Approximating Invariant ManifoldsJohn Guckenheimer, Alexander Vladimirsky. siamads, 3(3):232-260, 2004. [doi]

2003

The Forced van der Pol Equation II: Canards in the Reduced SystemKatherine A. Bold, Chantal Edwards, John Guckenheimer, Sabyasachi Guharay, Kathleen Hoffman, Judith Hubbard, Ricardo A. Oliva, Warren Weckesser. siamads, 2(4):570-608, 2003. [doi]

The Forced van der Pol Equation I: The Slow Flow and Its BifurcationsJohn Guckenheimer, Kathleen Hoffman, Warren Weckesser. siamads, 2(1):1-35, 2003. [doi]

2002

Chaos in the Hodgkin-Huxley ModelJohn Guckenheimer, Ricardo A. Oliva. siamads, 1(1):105-114, 2002. [doi]

2000

Numerical Computation of CanardsJohn Guckenheimer, Kathleen Hoffman, Warren Weckesser. IJBC, 10(12):2669-2688, 2000. [doi]

Computing Periodic Orbits and their Bifurcations with Automatic DifferentiationJohn Guckenheimer, Brian Meloon. siamsc, 22(3):951-985, 2000. [doi]

1999

An Improved Parameter Estimation Method for Hodgkin-Huxley ModelsAllan R. Willms, Deborah J. Baro, Ronald M. Harris-Warrick, John Guckenheimer. jcns, 6(2):145-168, 1999.

1997

Bifurcation, Bursting, and Spike Frequency AdaptationJohn Guckenheimer, Ronald M. Harris-Warrick, Jack Peck, Allan R. Willms. jcns, 4(3):257-277, 1997.

1996

Computing Hopf Bifurcations. II: Three Examples From NeurophysiologyJohn Guckenheimer, Mark Myers. siamsc, 17(6):1275-1301, 1996. [doi]

1995

A robust hybrid stabilization strategy for equilibriaJohn Guckenheimer. tac, 40(2):321-326, 1995. [doi]

Phase Portraits of Planar Vector Fields: Computer ProofsJohn Guckenheimer. em, 4(2):153-165, 1995. [doi]

1994

Planar Hybrid SystemsJohn Guckenheimer, Stewart Johnson. hybrid 1995: 202-225

1993

Reduction of a channel-based model for a stomatogastric ganglion LP neuronDavid Golomb, John Guckenheimer, Shay Gueron. bc, 69(2):129-137, 1993. [doi]

1992

A Dynamical Simulation Facility for Hybrid SystemsAllen Back, John Guckenheimer, Mark Myers. hybrid 1993: 255-267

1983

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector FieldsJohn Guckenheimer, Philip Holmes. Volume 42 of Applied Mathematical Sciences, Springer, 1983. [doi]

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