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Cellular automaton for chimera states

Name: Cellular automaton for chimera states
Creator: Vladimir García-Morales
Keywords: Cellular Automata and Lattice Gases (nlin.CG), 0103 physical sciences, FOS: Physical sciences, Pattern Formation and Solitons (nlin.PS), Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, 16. Peace & justice, Nonlinear Sciences - Pattern Formation and Solitons, Nonlinear Sciences - Cellular Automata and Lattice Gases, Adaptation and Self-Organizing Systems (nlin.AO)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Apr 2016Embargo end date: 01 Jan 2016Publisher:IOP PublishingJournal:EPL (Europhysics Letters), volume 114, page 18,002 (issn: 0295-5075, eissn: 1286-4854,

Authors: Vladimir García-Morales;

doi: 10.1209/0295-5075/114/18002 , 10.48550/arxiv.1602.03799

arXiv: http://arxiv.org/abs/1602.03799

Cellular automaton for chimera states

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Abstract

A minimalistic model for chimera states is presented. The model is a cellular automaton (CA) which depends on only one adjustable parameter, the range of the nonlocal coupling, and is built from elementary cellular automata and the majority (voting) rule. This suggests the universality of chimera-like behavior from a new point of view: Already simple CA rules based on the majority rule exhibit this behavior. After a short transient, we find chimera states for arbitrary initial conditions, the system spontaneously splitting into stable domains separated by static boundaries, ones synchronously oscillating and the others incoherent. When the coupling range is local, nontrivial coherent structures with different periodicities are formed.

6 pages, two columns, four figures. Minor corrections introduced. Accepted to Europhys. Lett

Related Organizations

University of Valencia
Spain

Keywords

Cellular Automata and Lattice Gases (nlin.CG), FOS: Physical sciences, Pattern Formation and Solitons (nlin.PS), Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, Nonlinear Sciences - Pattern Formation and Solitons, Nonlinear Sciences - Cellular Automata and Lattice Gases, Adaptation and Self-Organizing Systems (nlin.AO), Nonlinear Sciences - Adaptation and Self-Organizing Systems

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