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Chimeras in globally coupled oscillators: A review.

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Chimera patterns, a symmetry-breaking collective dynamics, are observed in various identical oscillator networks. This review focuses on the historical origin of chimeras in globally coupled oscillator networks.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Network Science

Background:

  • Chimera patterns represent a fascinating symmetry-breaking phenomenon in coupled oscillator systems.
  • These patterns have been observed across diverse network topologies, including rings, global couplings, and multi-layer networks.
  • Experimental validations confirm the existence of chimeras in physical systems like metronomes and chemical oscillators.

Purpose of the Study:

  • To provide a historical overview of the origin of chimera patterns.
  • To focus specifically on the emergence and evolution of chimeras within globally coupled identical oscillator networks.
  • To contextualize the discovery of chimeras in globally coupled systems relative to other network configurations.

Main Methods:

  • Review of existing literature and historical contributions.
  • Chronological analysis of research on chimera patterns in globally coupled oscillators.
  • Discussion of various coupling models and dynamical systems exhibiting chimera behavior.

Main Results:

  • Chimera patterns are not limited to specific network sizes or types.
  • The phenomenon of chimeras in globally coupled identical oscillators has a history predating its observation in non-locally coupled systems.
  • The review details significant contributions and personal experiences in understanding chimera origins.

Conclusions:

  • Chimera patterns are a well-established aspect of network dynamics, observed across numerous systems.
  • Understanding the historical development of chimera research in globally coupled networks is crucial.
  • Further exploration of chimera dynamics in different network configurations continues to be an active research area.