A Mechanism for Spatio-Temporal Disorder in Bistable Reaction-Diffusion Systems
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 spliting and spiral wave annihilation.
Keywords
Cite
@article{arxiv.patt-sol/9612001,
title = {A Mechanism for Spatio-Temporal Disorder in Bistable Reaction-Diffusion Systems},
author = {Aric Hagberg and Ehud Meron},
journal= {arXiv preprint arXiv:patt-sol/9612001},
year = {2008}
}
Comments
10 pages. An HTML version of this article is at http://www.springer-ny.com/nst/nstarticles.html . Aric Hagberg: http://t7.lanl.gov/People/Aric/; Ehud Meron: http://www.bgu.ac.il/BIDR/research/staff/meron.html To appear in Nonlinear Science Today, 1996: http://www.springer-ny.com/nst/