Equivariant bifurcation analysis of localized patterns in excitable media
Identifieur interne : 000824 ( Main/Exploration ); précédent : 000823; suivant : 000825Equivariant bifurcation analysis of localized patterns in excitable media
Auteurs : P. Hirschberg [États-Unis] ; V. Kirk [États-Unis, Nouvelle-Zélande] ; E. Knobloch [États-Unis]Source :
- Physics Letters A [ 0375-9601 ] ; 1992.
Abstract
Localized disk-shaped solutions of reaction-diffusion equations can stabilize into a pulsating disk pattern or a steady-state elliptical pattern. A bifurcation analysis of this mode interaction reveals the presence of mixed modes, quasiperiodic oscillations, frequency locking, as well as various global bifurcations that may lead to observable chaotic dynamic.
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DOI: 10.1016/0375-9601(92)90972-O
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