Oscillatory pulses and wave trains in a bistable reaction-diffusion system with cross diffusion.

Abstract

We study waves with exponentially decaying oscillatory tails in a reaction-diffusion system with linear cross diffusion. To be specific, we consider a piecewise linear approximation of the FitzHugh-Nagumo model, also known as the Bonhoeffer-van der Pol model. We focus on two types of traveling waves, namely solitary pulses that correspond to a homoclinic… (More)
DOI: 10.1103/PhysRevE.95.012203

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