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Chimera-type states induced by local coupling.

M G Clerc1, S Coulibaly2, M A Ferré3

  • 1Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.

Physical Review. E
|June 15, 2016
PubMed
Summary
This summary is machine-generated.

Researchers discovered novel chimera states in coupled nonlinear oscillators using local coupling. This finding challenges previous assumptions about the necessity of non-local coupling for complex self-organization behaviors in oscillator networks.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Network Science

Background:

  • Coupled oscillators display complex self-organization, including phase turbulence, spatiotemporal intermittency, and chimera states.
  • Chimera states, characterized by coexisting coherent and incoherent dynamics, were previously thought to require nonlocal or global coupling.

Purpose of the Study:

  • To investigate the existence and properties of chimera states in a system with local coupling.
  • To determine the conditions necessary for observing chimera states without differing time scales.

Main Methods:

  • Modeling a chain of nonlinear oscillators with local coupling to adjacent neighbors.
  • Analyzing the stability properties and bifurcation diagram of the system.
  • Identifying the role of bistability and homoclinic bifurcations.

Main Results:

  • Identified conditions for chimera states using only local coupling.
  • Demonstrated that bistability between stationary and oscillatory states near a homoclinic bifurcation is crucial.
  • Showed that local coupling prevents the incoherent state from overwhelming the coherent one.

Conclusions:

  • Chimera states can emerge in systems with purely local coupling.
  • The observed chimera states are organized by a homoclinic snaking bifurcation diagram.
  • This work expands the understanding of self-organization in coupled oscillator networks.