Oscillatory pulses in FitzHugh-Nagumo type systems with cross-diffusion

E.P. Zemskov, I.R. Epstein, A. Muntean

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

11 Citaten (Scopus)


We study FitzHugh–Nagumo type reaction–diffusion systems with linear cross-diffusion terms. Based on an analytical description using piecewise linear approximations of the reaction functions, we completely describe the occurrence and properties of wavy pulses, patterns of relevance in several biological contexts, in two prototypical systems. The pulse wave profiles arising in this treatment contain oscillatory tails similar to those in travelling fronts. We find a fundamental, intrinsic feature of pulse dynamics in cross-diffusive systems—the appearance of pulses in the bistable regime when two fixed points exist.
Originele taal-2Engels
Pagina's (van-tot)217-226
TijdschriftMathematical Medicine and Biology
StatusGepubliceerd - 2011


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