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Chimeras with uniformly distributed heterogeneity: Two coupled populations.

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Summary

Heterogeneous networks of planar oscillators exhibit chimeras, where one population synchronizes while the other remains asynchronous. Increased oscillator heterogeneity destabilizes these chimeras through a saddle-node bifurcation.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Network Science

Background:

  • Chimeras are states in coupled oscillator networks where populations exhibit mixed synchronization behaviors.
  • Previous studies primarily focused on identical oscillators, limiting understanding of chimera robustness in realistic systems.

Purpose of the Study:

  • To investigate the existence and stability of chimeras in heterogeneous networks of planar oscillators.
  • To analyze the impact of parameter heterogeneity on chimera dynamics.

Main Methods:

  • Utilized a generalized approach for heterogeneous networks in the infinite oscillator limit.
  • Analyzed stability through bifurcations, specifically saddle-node bifurcations.

Main Results:

  • Introduced parameter heterogeneity by randomly selecting one parameter from a uniform distribution.
  • Demonstrated that increasing oscillator heterogeneity destabilizes stable chimeras.
  • Identified saddle-node bifurcations as the mechanism for chimera destruction.

Conclusions:

  • Heterogeneity fundamentally impacts chimera stability in coupled oscillator networks.
  • The findings provide insights into the robustness of chimeras in general oscillator systems facing parameter variations.