Cellular automaton for chimera states
Departament de Termodinàmica, Universitat de València - E-46100 Burjassot, Spain
Received: 11 February 2016
Accepted: 13 April 2016
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, some synchronously oscillating and the others incoherent. When the coupling range is local, nontrivial coherent structures with different periodicities are formed.
PACS: 89.75.Fb – Structures and organization in complex systems / 05.45.Ra – Coupled map lattices / 05.45.Xt – Synchronization; coupled oscillators
© EPLA, 2016