Clustered chimera states in delay coupled oscillator systems

Abstract

We investigate "chimera" states in a ring of identical phase oscillators coupled in a time-delayed and spatially non-local fashion. We find novel "clustered chimera" states that have spatially distributed phase coherence separated by incoherence with adjacent coherent regions in anti-phase. The existence of such time-delay induced phase clustering is further supported through solutions of a generalized functional self-consistency equation of the mean field. Our results highlight an additional mechanism for cluster formation that may find wider practical applications.

References in corpus (2)

• Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
• Distributed Delays Facilitate Amplitude Death of Coupled Oscillators

Cited by in corpus (2)

• Synchronization transitions on scale-free neuronal networks due to finite information transmission delays
• Chimera states in heterogeneous networks