Chaoticon: localized pattern with permanent dynamics | Zendy

Nicolás Verschueren | Zendy; U. Bortolozzo | Zendy; Marcel G. Clerc | Zendy; S. Residori | Zendy

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Chaoticon: localized pattern with permanent dynamics

Author(s) -

Nicolás Verschueren,

U. Bortolozzo,

Marcel G. Clerc,

S. Residori

Publication year - 2014

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2014.0011

Subject(s) - chaotic , statistical physics , front (military) , mechanism (biology) , dynamics (music) , computer science , simple (philosophy) , physics , classical mechanics , artificial intelligence , quantum mechanics , philosophy , epistemology , meteorology , acoustics

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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