6533b7d3fe1ef96bd1260bfa

RESEARCH PRODUCT

Cellular automaton for chimera states

Vladimir García-morales

subject

PhysicsMajority ruleCellular Automata and Lattice Gases (nlin.CG)General Physics and AstronomyFOS: Physical sciencesPattern Formation and Solitons (nlin.PS)Nonlinear Sciences - Chaotic DynamicsNonlinear Sciences::Cellular Automata and Lattice Gases01 natural sciencesNonlinear Sciences - Pattern Formation and SolitonsCellular automatonNonlinear Sciences - Adaptation and Self-Organizing Systems010305 fluids & plasmasUniversality (dynamical systems)Chimera (genetics)Elementary cellular automaton0103 physical sciencesLagrangian coherent structuresStatistical physicsChaotic Dynamics (nlin.CD)010306 general physicsNonlinear Sciences - Cellular Automata and Lattice GasesAdaptation and Self-Organizing Systems (nlin.AO)

description

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.

yearjournalcountryeditionlanguage
2016-02-11
https://dx.doi.org/10.48550/arxiv.1602.03799