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Chaoticon: localized pattern with permanent dynamics
N Verschueren1, U Bortolozzo2, M G Clerc3
1Departamento de Física, FCFM, Universidad de Chile, Casilla 487-3, Santiago, Chile.
Abstract:
An analytical mechanism that support localized spatio-temporal chaos is provided. We consider a simple model-the Nagumo Kuramoto model-which contains the crucial ingredients for observing localized spatio-temporal chaos, namely, the spatio-temporal chaotic pattern and its coexistence with a uniform state. This model allows us to unveil the front dynamics and to show that it can be described by a chaotic motor corresponding to the deterministic counterpart of a Brownian motor. Front interaction is identified as the mechanism at the origin of the localized spatio-temporal chaotic structures.
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