Persistent chimera states in nonlocally coupled phase oscillators

Abstract

Chimera states in the systems of nonlocally coupled phase oscillators are considered stable in the continuous limit of spatially distributed oscillators. However, it is reported that in the numerical simulations without taking such limit, chimera states are chaotic transient and finally collapse into the completely synchronous solution. In this paper, we numerically study chimera states by using the coupling function different from the previous studies and obtain the result that chimera states can be stable even without taking the continuous limit, which we call the persistent chimera state.

To be published in Physical Review E (Rapid Communication), 5 pages, 7 figures

References in corpus (5)

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• Clustered chimera states in delay coupled oscillator systems
• Weak chimeras in minimal networks of coupled phase oscillators
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• Chimera states in two populations with heterogeneous phase-lag
• Chaotic Weak Chimeras and their Persistence in Coupled Populations of Phase Oscillators
• The changing notion of chimera states, a critical review
• Deeper but smaller: Higher-order interactions increase linear stability but shrink basins
• Antagonistic Phenomena in Network Dynamics
• Breathing multichimera states in nonlocally coupled phase oscillators
• Emergence of second coherent regions for breathing chimera states
• Characteristic distribution of finite-time Lyapunov exponents for chimera states
• Heteroclinic cycles and chaos in a system of four identical phase oscillators with global biharmonic coupling
• Chimera states in nonlocally coupled phase oscillators with biharmonic interaction