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Chaoticon: localized pattern with permanent dynamics

N. Verschueren, U. Bortolozzo, M. G. Clerc, S. Residori

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Source: Crossref

Published: Oct 28, 2014

DOI: 10.1098/rsta.2014.0011

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Source 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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Chaoticon: localized pattern with permanent dynamics — Mathematical Frontier Network