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Nonlinear Sciences > Adaptation and Self-Organizing Systems

arXiv:1705.01339 (nlin)
[Submitted on 3 May 2017]

Title:From collective oscillation to chimera state in a nonlocally excitable system

Authors:Qionglin Dai, Mengya Zhang, Hongyan Cheng, Haihong Li, Fagen Xie, Junzhong Yang
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Abstract:Chimera states, which consist of coexisting domains of spatially coherent and incoherent dynamics, have been widely found in nonlocally coupled oscillatory systems. We demonstrate for the first time that chimera states can emerge from excitable systems under nonlocal coupling in which isolated units only allow for the equilibrium. We theoretically reveal that nonlocal coupling induced collective oscillation is behind the occurrence of the chimera states. We find two different types of chimera states, phase-chimera state and excitability-chimera states, depending on the coupling strength. At weak coupling strength where collective oscillation is localized around the unstable homogeneous equilibrium, the chimera states are similar to the ones in nonlocally coupled phase oscillators. For the chimera states at strong coupling strength, the dynamics of both coherent units and incoherent units shift back and forth between low amplitude oscillation induced by collective oscillation and high amplitude oscillation induced by excitability of local units.
Comments: 11 pages, 5 figures
Subjects: Adaptation and Self-Organizing Systems (nlin.AO)
Cite as: arXiv:1705.01339 [nlin.AO]
  (or arXiv:1705.01339v1 [nlin.AO] for this version)
  https://doi.org/10.48550/arXiv.1705.01339

Submission history

From: Qionglin Dai [view email]
[v1] Wed, 3 May 2017 10:05:15 UTC (1,944 KB)
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