| Year |
Citation |
Score |
| 2018 |
Guckenheimer J, Javeed A. Locomotion: exploiting noise for state estimation. Biological Cybernetics. PMID 30056609 DOI: 10.1007/S00422-018-0772-Z |
0.37 |
|
| 2016 |
Roberts A, Guckenheimer J, Widiasih E, Timmermann A, Jones CKRT. Mixed-mode oscillations of El Niño-Southern Oscillation Journal of the Atmospheric Sciences. 73: 1755-1766. DOI: 10.1175/Jas-D-15-0191.1 |
0.344 |
|
| 2015 |
Guckenheimer J, Krauskopf B, Osinga HM, Sandstede B. Invariant manifolds and global bifurcations. Chaos (Woodbury, N.Y.). 25: 097604. PMID 26428557 DOI: 10.1063/1.4915528 |
0.41 |
|
| 2015 |
Maus HM, Revzen S, Guckenheimer J, Ludwig C, Reger J, Seyfarth A. Constructing predictive models of human running. Journal of the Royal Society, Interface / the Royal Society. 12. PMID 25505131 DOI: 10.1098/Rsif.2014.0899 |
0.366 |
|
| 2015 |
Guckenheimer J, Lizarraga I. Shilnikov homoclinic bifurcation of mixed-mode oscillations Siam Journal On Applied Dynamical Systems. 14: 764-786. DOI: 10.1137/140972007 |
0.431 |
|
| 2014 |
Iams S, Guckenheimer J. Flight stability of mosquitos: A reduced model Siam Journal On Applied Mathematics. 74: 1535-1550. DOI: 10.1137/140955513 |
0.76 |
|
| 2014 |
Guckenheimer J. From data to dynamical systems Nonlinearity. 27: R41-R50. DOI: 10.1088/0951-7715/27/7/R41 |
0.424 |
|
| 2013 |
Ristroph L, Ristroph G, Morozova S, Bergou AJ, Chang S, Guckenheimer J, Wang ZJ, Cohen I. Active and passive stabilization of body pitch in insect flight. Journal of the Royal Society, Interface / the Royal Society. 10: 20130237. PMID 23697713 DOI: 10.1098/Rsif.2013.0237 |
0.305 |
|
| 2013 |
Guckenheimer J, Scheper C. Multiple time scale analysis of a model Belousov-Zhabotinskii reaction Siam Journal On Applied Dynamical Systems. 12: 1968-1996. DOI: 10.1137/130912840 |
0.362 |
|
| 2012 |
Revzen S, Guckenheimer JM. Finding the dimension of slow dynamics in a rhythmic system. Journal of the Royal Society, Interface / the Royal Society. 9: 957-71. PMID 21937489 DOI: 10.1098/Rsif.2011.0431 |
0.307 |
|
| 2012 |
Guckenheimer J, Osinga HM. The singular limit of a hopf bifurcation Discrete and Continuous Dynamical Systems. 32: 2805-2823. DOI: 10.3934/Dcds.2012.32.2805 |
0.374 |
|
| 2012 |
Guckenheimer J, Johnson T, Meerkamp P. Rigorous enclosures of a slow manifold Siam Journal On Applied Dynamical Systems. 11: 831-863. DOI: 10.1137/120861813 |
0.729 |
|
| 2012 |
Guckenheimer J, Meerkamp P. Unfoldings of Singular Hopf Bifurcation Siam Journal On Applied Dynamical Systems. 11: 1325-1359. DOI: 10.1137/11083678X |
0.728 |
|
| 2012 |
Desroches M, Guckenheimer J, Krauskop B, Kuehn C, Osinga HM, Wechselberger M. Mixed-mode oscillations with multiple time scales Siam Review. 54: 211-288. DOI: 10.1137/100791233 |
0.58 |
|
| 2011 |
Sherwood WE, Harris-Warrick R, Guckenheimer J. Synaptic patterning of left-right alternation in a computational model of the rodent hindlimb central pattern generator. Journal of Computational Neuroscience. 30: 323-60. PMID 20644988 DOI: 10.1007/S10827-010-0259-Y |
0.739 |
|
| 2011 |
Guckenheimer J, Scheper C. A geometric model for mixed-mode oscillations in a chemical system? Siam Journal On Applied Dynamical Systems. 10: 92-128. DOI: 10.1137/100801950 |
0.349 |
|
| 2010 |
Ristroph L, Bergou AJ, Ristroph G, Coumes K, Berman GJ, Guckenheimer J, Wang ZJ, Cohen I. Discovering the flight autostabilizer of fruit flies by inducing aerial stumbles. Proceedings of the National Academy of Sciences of the United States of America. 107: 4820-4. PMID 20194789 DOI: 10.1073/Pnas.1000615107 |
0.358 |
|
| 2010 |
Sherwood WE, Guckenheimer J. Dissecting the phase response of a model bursting neuron Siam Journal On Applied Dynamical Systems. 9: 659-703. DOI: 10.1137/090773519 |
0.746 |
|
| 2010 |
Guckenheimer J, Kuehn C. Homoclinic Orbits of the FitzHugh–Nagumo Equation: Bifurcations in the Full System Siam Journal On Applied Dynamical Systems. 9: 138-153. DOI: 10.1137/090758404 |
0.59 |
|
| 2009 |
Carver SG, Cowan NJ, Guckenheimer JM. Lateral stability of the spring-mass hopper suggests a two-step control strategy for running. Chaos (Woodbury, N.Y.). 19: 026106. PMID 19566266 DOI: 10.1063/1.3127577 |
0.75 |
|
| 2009 |
Guckenheimer J, Kuehn C. Homoclinic orbits of the fitzhugh-nagumo equation: The singular-limit Discrete and Continuous Dynamical Systems - Series S. 2: 851-872. DOI: 10.3934/Dcdss.2009.2.851 |
0.564 |
|
| 2009 |
Guckenheimer J, Kuehn C. Computing slow manifolds of saddle type* Siam Journal On Applied Dynamical Systems. 8: 854-879. DOI: 10.1137/080741999 |
0.573 |
|
| 2008 |
Clewley RH, Guckenheimer JM, Valero-Cuevas FJ. Estimating effective degrees of freedom in motor systems. Ieee Transactions On Bio-Medical Engineering. 55: 430-42. PMID 18269978 DOI: 10.1109/TBME.2007.903712 |
0.749 |
|
| 2008 |
Tien JH, Guckenheimer J. Parameter estimation for bursting neural models. Journal of Computational Neuroscience. 24: 358-73. PMID 17999167 DOI: 10.1007/S10827-007-0060-8 |
0.673 |
|
| 2007 |
Venkadesan M, Guckenheimer J, Valero-Cuevas FJ. Manipulating the edge of instability. Journal of Biomechanics. 40: 1653-61. PMID 17400231 DOI: 10.1016/J.Jbiomech.2007.01.022 |
0.763 |
|
| 2006 |
Holmes P, Full RJ, Koditschek D, Guckenheimer J. The dynamics of legged locomotion: Models, analyses, and challenges Siam Review. 48: 207-304. DOI: 10.1137/S0036144504445133 |
0.368 |
|
| 2006 |
Guckenheimer J, Wechselberger M, Young LS. Chaotic attractors of relaxation oscillators Nonlinearity. 19: 701-720. DOI: 10.1088/0951-7715/19/3/009 |
0.351 |
|
| 2006 |
Venkadesan M, Srinivasan M, Guckenheimer J, Valero-Cuevas F. The interplay of sensorimotor time-delays and noise in multisensory integration Journal of Biomechanics. 39: S98. DOI: 10.1016/S0021-9290(06)83287-2 |
0.727 |
|
| 2005 |
Guckenheimer J, Hoffman K, Weckesser W. Bifurcations of relaxation oscillations near folded saddles International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 15: 3411-3421. DOI: 10.1142/S0218127405014131 |
0.418 |
|
| 2005 |
Krauskopf B, Osinga HM, Doedel EJ, Henderson ME, Guckenheimer J, Vladimirsky A, Dellnitz M, Junge O. A survey of methods for computing (UN)stable manifolds of vector fields International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 15: 763-791. DOI: 10.1142/S0218127405012533 |
0.331 |
|
| 2004 |
Guckenheimer J, Vladimirsky A. A fast method for approximating invariant manifolds Siam Journal On Applied Dynamical Systems. 3: 232-260. DOI: 10.1137/030600179 |
0.337 |
|
| 2003 |
Bold K, Edwards C, Guckenheimer J, Guharay S, Hoffman K, Hubbard J, Oliva R, Weckesser W. The forced van der Pol equation II: Canards in the reduced system Siam Journal On Applied Dynamical Systems. 2: 570-608. DOI: 10.1137/S1111111102419130 |
0.389 |
|
| 2003 |
Guckenheimer J, Hoffman K, Weckesser W. The forced van der Pol equation I: The slow flow and its bifurcations Siam Journal On Applied Dynamical Systems. 2. DOI: 10.1137/S1111111102404738 |
0.351 |
|
| 2002 |
Guckenheimer J, Oliva RA. Chaos in the Hodgkin--Huxley Model Siam Journal On Applied Dynamical Systems. 1: 105-114. DOI: 10.1137/S1111111101394040 |
0.345 |
|
| 2001 |
Guckenheimer J, Meloon B. Computing periodic orbits and their bifurcations with automatic differentiation Siam Journal On Scientific Computing. 22: 951-985. DOI: 10.1137/S1064827599359278 |
0.328 |
|
| 2000 |
Guckenheimer J, Hoffman K, Weckesser W. Numerical computation of canards International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 10: 2669-2687. DOI: 10.1142/S0218127400001742 |
0.368 |
|
| 2000 |
Guckenheimer J, Willms AR. Asymptotic analysis of subcritical Hopf-homoclinic bifurcation Physica D: Nonlinear Phenomena. 139: 195-216. DOI: 10.1016/S0167-2789(99)00225-0 |
0.414 |
|
| 1999 |
Choe WG, Guckenheimer J. Computing periodic orbits with high accuracy Computer Methods in Applied Mechanics and Engineering. 170: 331-341. DOI: 10.1016/S0045-7825(98)00201-1 |
0.327 |
|
| 1997 |
Guckenheimer J, Harris-Warrick R, Peck J, Willms A. Bifurcation, bursting, and spike frequency adaptation. Journal of Computational Neuroscience. 4: 257-77. PMID 9257235 DOI: 10.1023/A:1008871803040 |
0.334 |
|
| 1997 |
Guckenheimer J, Myers M, Sturmfels B. Computing hopf bifurcations I Siam Journal On Numerical Analysis. 34: 1-21. DOI: 10.1137/S0036142993253461 |
0.375 |
|
| 1996 |
Guckenheimer J, Malo S. Computer-generated proofs of phase portraits for planar systems International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 6: 889-892. DOI: 10.1142/S0218127496000497 |
0.352 |
|
| 1996 |
Guckenheimer J, Myers M. Computing hopf bifurcations II: Three examples from neurophysiology Siam Journal On Scientific Computing. 17: 1275-1301. DOI: 10.1137/S1064827593253495 |
0.364 |
|
| 1995 |
Guckenheimer J. A Robust Hybrid Stabilization Strategy for Equilibria Ieee Transactions On Automatic Control. 40: 321-326. DOI: 10.1109/9.341802 |
0.31 |
|
| 1995 |
Guckenheimer J. Phase portraits of planar vector fields: Computer proofs Experimental Mathematics. 4: 153-165. DOI: 10.1080/10586458.1995.10504316 |
0.361 |
|
| 1993 |
Guckenheimer J, Gueron S, Harris-Warrick RM. Mapping the dynamics of a bursting neuron. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences. 341: 345-59. PMID 7504823 DOI: 10.1098/Rstb.1993.0121 |
0.352 |
|
| 1993 |
Golomb D, Guckenheimer J, Gueron S. Reduction of a channel-based model for a stomatogastric ganglion LP neuron Biological Cybernetics. 69: 129-137. DOI: 10.1007/Bf00226196 |
0.356 |
|
| 1992 |
Guckenheimer J, Mahalov A. Instability induced by symmetry reduction. Physical Review Letters. 68: 2257-2260. PMID 10045349 DOI: 10.1103/Physrevlett.68.2257 |
0.341 |
|
| 1992 |
Guckenheimer J, Mahalov A. Resonant triad interactions in symmetric systems Physica D: Nonlinear Phenomena. 54: 267-310. DOI: 10.1016/0167-2789(92)90040-T |
0.301 |
|
| 1991 |
Guckenheimer J. Computational Environments for Exploring Dynamical Systems International Journal of Bifurcation and Chaos. 1: 269-276. DOI: 10.1142/S0218127491000208 |
0.347 |
|
| 1991 |
Baesens C, Guckenheimer J, Kim S, MacKay RS. Three coupled oscillators: mode-locking, global bifurcations and toroidal chaos Physica D: Nonlinear Phenomena. 49: 387-475. DOI: 10.1016/0167-2789(91)90155-3 |
0.355 |
|
| 1989 |
Armbruster D, Guckenheimer J, Holmes P. Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold Siam Journal On Applied Mathematics. 49: 676-691. DOI: 10.1137/0149039 |
0.339 |
|
| 1989 |
Guckenheimer J, Rand R, Schlomiuk D. Degenerate homoclinic cycles in perturbations of quadratic Hamiltonian systems Nonlinearity. 2: 405-418. DOI: 10.1088/0951-7715/2/3/002 |
0.331 |
|
| 1989 |
Armbruster D, Guckenheimer J, Kim S. Chaotic dynamics in systems with square symmetry Physics Letters A. 140: 416-420. DOI: 10.1016/0375-9601(89)90078-9 |
0.386 |
|
| 1986 |
Guckenheimer J. STRANGE ATTRACTORS IN FLUIDS: ANOTHER VIEW Annual Review of Fluid Mechanics. 1: 15-31. DOI: 10.1146/Annurev.Fl.18.010186.000311 |
0.333 |
|
| 1986 |
Guckenheimer J. Multiple bifurcation problems for chemical reactors Physica D: Nonlinear Phenomena. 21: 1-20. DOI: 10.1016/0167-2789(86)90075-8 |
0.312 |
|
| 1985 |
Tycko R, Pines A, Guckenheimer J. Fixed point theory of iterative excitation schemes in NMR The Journal of Chemical Physics. 83: 2775-2802. DOI: 10.1063/1.449228 |
0.336 |
|
| 1983 |
Guckenheimer J. Toolkit for Nonlinear Dynamics Ieee Transactions On Circuits and Systems. 30: 586-590. DOI: 10.1109/Tcs.1983.1085393 |
0.311 |
|
| 1983 |
Guckenheimer J, Knobloch E. Nonlinear Convection in a Rotating Layer: Amplitude Expansions and Normal Forms Geophysical & Astrophysical Fluid Dynamics. 23: 247-272. DOI: 10.1080/03091928308209045 |
0.337 |
|
| 1983 |
Guckenheimer J. Persistent properties of bifurcations Physica D: Nonlinear Phenomena. 7: 105-110. DOI: 10.1016/0167-2789(83)90120-3 |
0.316 |
|
| 1980 |
Guckenheimer J. DYNAMICS OF THE VAN DER POL EQUATION Ieee Transactions On Circuits and Systems. 983-989. DOI: 10.1109/Tcs.1980.1084738 |
0.402 |
|
| 1980 |
Guckenheimer J. Symbolic dynamics and relaxation oscillations Physica D: Nonlinear Phenomena. 1: 227-235. DOI: 10.1016/0167-2789(80)90014-7 |
0.403 |
|
| 1978 |
Auslander D, Guckenheimer J, Oster G. Random evolutionarily stable strategies. Theoretical Population Biology. 13: 276-93. PMID 694787 DOI: 10.1016/0040-5809(78)90047-3 |
0.337 |
|
| 1977 |
Guckenheimer J, Oster G, Ipaktchi A. The dynamics of density dependent population models. Journal of Mathematical Biology. 4: 8-147. PMID 886232 DOI: 10.1007/Bf00275980 |
0.379 |
|
| 1975 |
Guckenheimer J. Isochrons and phaseless sets Journal of Mathematical Biology. 1: 259-273. DOI: 10.1007/Bf01273747 |
0.344 |
|
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