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Cellular automaton for chimera states

Authors :
García-Morales, Vladimir
Source :
EPL 114 (2016) 18002
Publication Year :
2016

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.<br />Comment: 6 pages, two columns, four figures. Minor corrections introduced. Accepted to Europhys. Lett

Details

Database :
arXiv
Journal :
EPL 114 (2016) 18002
Publication Type :
Report
Accession number :
edsarx.1602.03799
Document Type :
Working Paper
Full Text :
https://doi.org/10.1209/0295-5075/114/18002