Chimera states in a population of identical oscillators under planar cross-coupling

Abstract

We report the existence of a chimera state in an assembly of identical nonlinear oscillators that are globally linked to each other in a simple planar cross-coupled form. The rotational symmetry breaking of the coupling term appears to be responsible for the emergence of these collective states that display a characteristic coexistence of coherent and incoherent behaviour. Our finding, seen in both a collection of van der Pol oscillators and chaotic Rossler oscillators, further simplifies the existence criterion for chimeras and thereby broadens the range of their applicability to real world situations.

References in corpus (1)

• Clustered chimera states in delay coupled oscillator systems

Cited by in corpus (3)

• Coherent libration to coherent rotational dynamics via chimeralike states and clustering in Josephson Junction array
• Resilience in multiplex networks by addition of cross-repulsive links
• Dynamics of coupled modified Rossler oscillators: the role of nonisochronicity parameter