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Cite Details

Aric Hagberg and Ehud Meron, "Spiral wave nucleation", in Interfaces, Pulses and Waves in Nonlinear Dissipative Systems. RIMS Project 2000: Reaction-diffusion systems: theory and application. Takao Ohta, ed. , (RIMS, Kyoto), pp. 66--71, 2001

Abstract

In bistable systems, the stability of front structures often influences the dynamics of extended patterns. We show how the combined effect of an instability to curvature modulations and proximity to a pitchfork front bifurcation leads to spontaneous nucleation of spiral waves along the front. This effect is demonstrated by direct simulations of a FitzHugh-Nagumo (FHN) model and by simulations of order parameter equations for the front velocity and curvature. Spontaneous spiral-wave nucleation often results in a state of spatio-temporal disorder involving repeated events of spiral wave nucleation, domain splitting and spiral wave annihilation.

BibTeX Entry

@inproceedings{hagberg-2001-spiral,
author = {Aric Hagberg and Ehud Meron},
title = {Spiral wave nucleation},
year = {2001},
urlpdf = {http://math.lanl.gov/~hagberg/Papers/kyoto/kyoto.pdf},
booktitle = {Interfaces, Pulses and Waves in Nonlinear Dissipative Systems. RIMS Project 2000: Reaction-diffusion systems: theory and application. Takao Ohta, ed. },
address = {RIMS, Kyoto},
pages = {66--71}
}