Bifurcation of the Hodgkin and Huxley equations: a new twist J Guckenheimer, IS Labouriau Bulletin of Mathematical Biology 55 (5), 937-952, 1993 | 175 | 1993 |
Degenerate Hopf bifurcation formulas and Hilbert’s 16th problem WW Farr, C Li, IS Labouriau, WF Langford SIAM journal on mathematical analysis 20 (1), 13-30, 1989 | 127 | 1989 |
Dynamics near a heteroclinic network MAD Aguiar, SBSD Castro, IS Labouriau Nonlinearity 18 (1), 391, 2004 | 86 | 2004 |
Switching near a network of rotating nodes MAD Aguiar, IS Labouriau, AAP Rodrigues Dynamical Systems 25 (1), 75-95, 2010 | 47 | 2010 |
Degenerate Hopf bifurcation and nerve impulse IS Labouriau SIAM journal on mathematical analysis 16 (6), 1121-1133, 1985 | 43 | 1985 |
Simple vector fields with complex behavior MAD Aguiar, SBSD Castro, IS Labouriau International Journal of Bifurcation and Chaos 16 (02), 369-381, 2006 | 42 | 2006 |
Degenerate Hopf bifurcation and nerve impulse. Part II IS Labouriau SIAM Journal on Mathematical Analysis 20 (1), 1-12, 1989 | 41 | 1989 |
On Takens’ last problem: tangencies and time averages near heteroclinic networks IS Labouriau, AAP Rodrigues Nonlinearity 30 (5), 1876, 2017 | 39 | 2017 |
Global generic dynamics close to symmetry IS Labouriau, AAP Rodrigues Journal of Differential Equations 253 (8), 2527-2557, 2012 | 36 | 2012 |
Spiralling dynamics near heteroclinic networks AAP Rodrigues, IS Labouriau Physica D: Nonlinear Phenomena 268, 34-49, 2014 | 29 | 2014 |
Chaotic double cycling AAP Rodrigues, IS Labouriau, MAD Aguiar Dynamical Systems 26 (2), 199-233, 2011 | 27 | 2011 |
Synchronization of coupled equations of Hodgkin-Huxley type IS Labouriau, HM Rodrigues Dynamics of continuous, discrete and impulsibe systems: série A …, 2003 | 25 | 2003 |
Dense heteroclinic tangencies near a Bykov cycle IS Labouriau, AAP Rodrigues Journal of Differential Equations 259 (11), 5875-5902, 2015 | 21 | 2015 |
Global bifurcations close to symmetry IS Labouriau, AAP Rodrigues Journal of Mathematical Analysis and Applications 444 (1), 648-671, 2016 | 17 | 2016 |
A heteroclinic network in mode interaction with symmetry SBSD Castro, IS Labouriau, O Podvigina Dynamical Systems 25 (3), 359-396, 2010 | 17 | 2010 |
Density of first Poincaré returns, periodic orbits, and Kolmogorov–Sinai entropy PRF Pinto, MS Baptista, IS Labouriau Communications in Nonlinear Science and Numerical Simulation 16 (2), 863-875, 2011 | 15 | 2011 |
Bifurcations from an attracting heteroclinic cycle under periodic forcing IS Labouriau, AAP Rodrigues Journal of Differential Equations 269 (5), 4137-4174, 2020 | 14 | 2020 |
Singularities of equations of Hodgkin–Huxley type IS Labouriau, MAS Ruas Dynamics and Stability of Systems 11 (2), 91-108, 1996 | 13 | 1996 |
Loss of synchronization in partially coupled Hodgkin-Huxley equations IS Labouriau, C Alves-Pinto Bulletin of mathematical biology 66, 539-557, 2004 | 12 | 2004 |
Spatial hidden symmetries in pattern formation MGM Gomes, IS Labouriau, EM Pinho Pattern Formation in Continuous and Coupled Systems: A Survey Volume, 83-99, 1999 | 12 | 1999 |