John Guckenheimer

John Guckenheimer, Tomas Johnson, Philipp Meerkamp: Rigorous Enclosures of a Slow Manifold. SIAM J. Applied Dynamical Systems 11(3): 831-863 (2012)

John Guckenheimer, Philipp Meerkamp: Unfoldings of Singular Hopf Bifurcation. SIAM J. Applied Dynamical Systems 11(4): 1325-1359 (2012)

Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger: Mixed-Mode Oscillations with Multiple Time Scales. SIAM Review 54(2): 211-288 (2012)

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. Journal of Computational Neuroscience 30(2): 323-360 (2011)

John Guckenheimer, Chris Scheper: A Geometric Model for Mixed-Mode Oscillations in a Chemical System. SIAM J. Applied Dynamical Systems 10(1): 92-128 (2011)

John Guckenheimer, Christian Kuehn: Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System. SIAM J. Applied Dynamical Systems 9(1): 138-153 (2010)

William Erik Sherwood, John Guckenheimer: Dissecting the Phase Response of a Model Bursting Neuron. SIAM J. Applied Dynamical Systems 9(3): 659-703 (2010)

John Guckenheimer, Christian Kuehn: Computing Slow Manifolds of Saddle Type. SIAM J. Applied Dynamical Systems 8(3): 854-879 (2009)

Joseph H. Tien, John Guckenheimer: Parameter estimation for bursting neural models. Journal of Computational Neuroscience 24(3): 358-373 (2008)

John Guckenheimer, Yuri A. Kuznetsov: Hopf-Hopf bifurcation. Scholarpedia 3(8): 1856 (2008)

John Guckenheimer: Singular Hopf Bifurcation in Systems with Two Slow Variables. SIAM J. Applied Dynamical Systems 7(4): 1355-1377 (2008)

John Guckenheimer, Yuri A. Kuznetsov: Bogdanov-Takens bifurcation. Scholarpedia 2(1): 1854 (2007)

John Guckenheimer, Yuri A. Kuznetsov: Cusp bifurcation. Scholarpedia 2(4): 1852 (2007)

John Guckenheimer, Yuri A. Kuznetsov: Bautin bifurcation. Scholarpedia 2(5): 1853 (2007)

John Guckenheimer: Bifurcation. Scholarpedia 2(6): 1517 (2007)

John Guckenheimer, Yuri A. Kuznetsov: Fold-Hopf bifurcation. Scholarpedia 2(10): 1855 (2007)

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. I. J. Bifurcation and Chaos 15(3): 763-791 (2005)

John Guckenheimer, Kathleen Hoffman, Warren Weckesser: Bifurcations of Relaxation oscillations Near Folded saddles. I. J. Bifurcation and Chaos 15(11): 3411-3421 (2005)

Allan R. Willms, Deborah J. Baro, Ronald M. Harris-Warrick, John Guckenheimer: An Improved Parameter Estimation Method for Hodgkin-Huxley Models. Journal of Computational Neuroscience 6(2): 145-168 (1999)

John Guckenheimer, Ronald M. Harris-Warrick, Jack Peck, Allan R. Willms: Bifurcation, Bursting, and Spike Frequency Adaptation. Journal of Computational Neuroscience 4(3): 257-277 (1997)

John Guckenheimer: Phase Portraits of Planar Vector Fields: Computer Proofs. Experimental Mathematics 4(2): 153-165 (1995)

John Guckenheimer, Stewart Johnson: Planar Hybrid Systems. Hybrid Systems 1994: 202-225

David Golomb, John Guckenheimer, Shay Gueron: Reduction of a channel-based model for a stomatogastric ganglion LP neuron. Biological Cybernetics 69(2): 129-137 (1993)

Allen Back, John Guckenheimer, Mark Myers: A Dynamical Simulation Facility for Hybrid Systems. Hybrid Systems 1992: 255-267