McKean caricature of the FitzHugh-Nagumo model: Traveling pulses in a discrete diffusive medium

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 3 2, 2003, Pages

  Tonnelier, Arnaud ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; FAILURE ANALYSIS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; SOLUTIONS; WAVES;

DISCRETE DIFFUSIVE MEDIUM; TRAVELING WAVE SOLUTIONS;

REACTION KINETICS;

EID: 37649031486     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

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28. t=b(v = yw) but, since we focus our analysis on the excitable regime, we consider y=0.
29. 2) allows us to consider τ=μ=1.
30. Our work is not a rigorous demonstration of the existence of pulse waves and we will not show that these conditions are sufficient.