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John Guckenheimer
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- affiliation: Cornell University, Ithaca, NY, USA
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2020 – today
- 2023
- [j37]Debojyoti Biswas
, Andrew G. Lamperski
Mode switching in organisms for solving explore-versus-exploit problems. Nat. Mac. Intell. 5(11): 1285-1296 (2023) - 2022
- [i1]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 abs/2204.10413 (2022)
2010 – 2019
- 2019
- [j36]John Guckenheimer
Locomotion: exploiting noise for state estimation. Biol. Cybern. 113(1-2): 93-104 (2019) - 2015
- [j35]John Guckenheimer, Ian Lizarraga
Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations. SIAM J. Appl. Dyn. Syst. 14(2): 764-786 (2015) - 2014
- [j34]Sarah Iams
Flight Stability of Mosquitos: A Reduced Model. SIAM J. Appl. Math. 74(5): 1535-1550 (2014) - 2013
- [j33]John Guckenheimer, Chris Scheper:
Multiple Time Scale Analysis of a Model Belousov-Zhabotinskii Reaction. SIAM J. Appl. Dyn. Syst. 12(4): 1968-1996 (2013) - 2012
- [j32]John Guckenheimer, Tomas Johnson
Rigorous Enclosures of a Slow Manifold. SIAM J. Appl. Dyn. Syst. 11(3): 831-863 (2012) - [j31]John Guckenheimer, Philipp Meerkamp:
Unfoldings of Singular Hopf Bifurcation. SIAM J. Appl. Dyn. Syst. 11(4): 1325-1359 (2012) - [j30]Mathieu Desroches, John Guckenheimer, Bernd Krauskopf
Mixed-Mode Oscillations with Multiple Time Scales. SIAM Rev. 54(2): 211-288 (2012) - 2011
- [j29]William Erik Sherwood, Ronald M. Harris-Warrick
Synaptic patterning of left-right alternation in a computational model of the rodent hindlimb central pattern generator. J. Comput. Neurosci. 30(2): 323-360 (2011) - [j28]John Guckenheimer, Chris Scheper:
A Geometric Model for Mixed-Mode Oscillations in a Chemical System. SIAM J. Appl. Dyn. Syst. 10(1): 92-128 (2011) - 2010
- [j27]John Guckenheimer, Christian Kuehn
Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System. SIAM J. Appl. Dyn. Syst. 9(1): 138-153 (2010) - [j26]William Erik Sherwood, John Guckenheimer:
Dissecting the Phase Response of a Model Bursting Neuron. SIAM J. Appl. Dyn. Syst. 9(3): 659-703 (2010)
2000 – 2009
- 2009
- [j25]John Guckenheimer, Christian Kuehn
Computing Slow Manifolds of Saddle Type. SIAM J. Appl. Dyn. Syst. 8(3): 854-879 (2009) - 2008
- [j24]Joseph H. Tien, John Guckenheimer:
Parameter estimation for bursting neural models. J. Comput. Neurosci. 24(3): 358-373 (2008) - [j23]John Guckenheimer, Yuri A. Kuznetsov
Hopf-Hopf bifurcation. Scholarpedia 3(8): 1856 (2008) - [j22]John Guckenheimer:
Singular Hopf Bifurcation in Systems with Two Slow Variables. SIAM J. Appl. Dyn. Syst. 7(4): 1355-1377 (2008) - [j21]Robert H. Clewley, John M. Guckenheimer, Francisco J. Valero Cuevas:
Estimating Effective Degrees of Freedom in Motor Systems. IEEE Trans. Biomed. Eng. 55(2): 430-442 (2008) - 2007
- [j20]John Guckenheimer, Yuri A. Kuznetsov
Bogdanov-Takens bifurcation. Scholarpedia 2(1): 1854 (2007) - [j19]John Guckenheimer, Yuri A. Kuznetsov
Cusp bifurcation. Scholarpedia 2(4): 1852 (2007) - [j18]John Guckenheimer, Yuri A. Kuznetsov
Bautin bifurcation. Scholarpedia 2(5): 1853 (2007) - [j17]John Guckenheimer:
Bifurcation. Scholarpedia 2(6): 1517 (2007) - [j16]John Guckenheimer, Yuri A. Kuznetsov
Fold-Hopf bifurcation. Scholarpedia 2(10): 1855 (2007) - 2006
- [j15]Philip Holmes, Robert J. Full, Daniel E. Koditschek, John Guckenheimer:
The Dynamics of Legged Locomotion: Models, Analyses, and Challenges. SIAM Rev. 48(2): 207-304 (2006) - 2005
- [j14]Bernd Krauskopf
A Survey of Methods for Computing (un)Stable Manifolds of Vector Fields. Int. J. Bifurc. Chaos 15(3): 763-791 (2005) - [j13]John Guckenheimer, Kathleen Hoffman, Warren Weckesser:
Bifurcations of Relaxation oscillations Near Folded saddles. Int. J. Bifurc. Chaos 15(11): 3411-3421 (2005) - 2004
- [j12]John Guckenheimer, Alexander Vladimirsky:
A Fast Method for Approximating Invariant Manifolds. SIAM J. Appl. Dyn. Syst. 3(3): 232-260 (2004) - 2003
- [j11]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): 1-35 (2003) - [j10]Katherine A. Bold, Chantal Edwards, John Guckenheimer, Sabyasachi Guharay, Kathleen Hoffman, Judith Hubbard
The Forced van der Pol Equation II: Canards in the Reduced System. SIAM J. Appl. Dyn. Syst. 2(4): 570-608 (2003) - 2002
- [j9]John Guckenheimer, Ricardo A. Oliva:
Chaos in the Hodgkin-Huxley Model. SIAM J. Appl. Dyn. Syst. 1(1): 105-114 (2002) - 2000
- [j8]John Guckenheimer, Kathleen Hoffman, Warren Weckesser:
Numerical Computation of Canards. Int. J. Bifurc. Chaos 10(12): 2669-2688 (2000) - [j7]John Guckenheimer, Brian Meloon:
Computing Periodic Orbits and their Bifurcations with Automatic Differentiation. SIAM J. Sci. Comput. 22(3): 951-985 (2000)
1990 – 1999
- 1999
- [j6]Allan R. Willms
An Improved Parameter Estimation Method for Hodgkin-Huxley Models. J. Comput. Neurosci. 6(2): 145-168 (1999) - 1997
- [j5]John Guckenheimer, Ronald M. Harris-Warrick
Bifurcation, Bursting, and Spike Frequency Adaptation. J. Comput. Neurosci. 4(3): 257-277 (1997) - 1996
- [j4]John Guckenheimer, Mark Myers:
Computing Hopf Bifurcations. II: Three Examples From Neurophysiology. SIAM J. Sci. Comput. 17(6): 1275-1301 (1996) - 1995
- [j3]John Guckenheimer:
Phase Portraits of Planar Vector Fields: Computer Proofs. Exp. Math. 4(2): 153-165 (1995) - [j2]John Guckenheimer:
A robust hybrid stabilization strategy for equilibria. IEEE Trans. Autom. Control. 40(2): 321-326 (1995) - 1994
- [c2]John Guckenheimer, Stewart Johnson:
Planar Hybrid Systems. Hybrid Systems 1994: 202-225 - 1993
- [j1]David Golomb
Reduction of a channel-based model for a stomatogastric ganglion LP neuron. Biol. Cybern. 69(2): 129-137 (1993) - 1992
- [c1]Allen Back, John Guckenheimer, Mark Myers:
A Dynamical Simulation Facility for Hybrid Systems. Hybrid Systems 1992: 255-267
1980 – 1989
- 1983
- [b1]John Guckenheimer, Philip Holmes:
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Applied Mathematical Sciences 42, Springer 1983, ISBN 978-1-4612-7020-1, pp. 1-462
Coauthor Index
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