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 (12)

• Chimera States in Mechanical Oscillator Networks
• Solvable model for chimera states of coupled oscillators
• When Nonlocal Coupling Between Oscillators Becomes Stronger: Patched Synchrony or Multi-Chimera States
• Chimera Death: Symmetry Breaking in Dynamical Networks
• Solvable Model of Spiral Wave Chimeras
• Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling
• Clustered chimera states in delay coupled oscillator systems
• Chimera states: The Existence Criteria Revisited
• Chimera-like states in an ensemble of globally coupled oscillators
• Transition from spatial coherence to incoherence in coupled chaotic systems
• Amplitude mediated chimera states
• Synchronization of hypernetworks of coupled dynamical systems

Cited by in corpus (4)

• Chimeralike states in a network of oscillators under attractive and repulsive global coupling
• 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