4 citations · 4 across the 3 of their papers we have counts for
3 papers
FitzHugh-Nagumo equation: bifurcations, slow-fast system and dynamics near infinity
Alexandre A. P. Rodrigues, Nasrin Sadri
In this paper, we present a qualitative and bifurcation analysis of the three-parameter FitzHugh-Nagumo system and its compactified formulation. The study is structured according t…
Synchrony and canards in two coupled FitzHugh--Nagumo equations
Bruno F. F. Gonçalves, Isabel S. Labouriau, Alexandre A. P. Rodrigues
We describe the fast-slow dynamics of two FitzHugh--Nagumo equations coupled symmetrically through the slow equations. We use symmetry arguments to find a non-empty open set of par…
Bifurcations and canards in the FitzHugh-Nagumo system: a tutorial in fast-slow dynamics
Bruno F. F. Gonçalves, Isabel S. Labouriau, Alexandre A. P. Rodrigues
In this article, we study the FitzHugh-Nagumo --fast-slow system where the vector fields associated to the slow/fast equations come from the reduction of the Hodgin-Huxley m…