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Chimera states in pulse-coupled oscillator systems.

Arke Vogell1, Udo Schilcher1, Jorge F Schmidt1

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Researchers explored chimera states in pulse-coupled oscillators, finding a model that explains their emergence and controls their drift. This study clarifies how synchrony and chaos coexist in complex systems.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Network Science

Background:

  • Chimera states, where synchrony and chaos coexist, are observed in coupled oscillator systems.
  • The underlying mechanisms of chimera states, particularly in pulse-coupled oscillators, remain poorly understood.
  • Existing models, like Kuramoto oscillators, exhibit chimera states but have limitations in controlling their dynamics.

Purpose of the Study:

  • To investigate the emergence mechanism of chimera states in a novel pulse-coupled oscillator model.
  • To demonstrate the model's ability to reproduce key chimera state properties.
  • To compare the proposed model with established Kuramoto oscillator examples.

Main Methods:

  • Definition and analysis of a specific variation of a pulse-coupled oscillator model.
  • Demonstration of chimera state properties, including multiple heads and controlled drift.
  • Comparative analysis against established Kuramoto oscillator models.

Main Results:

  • The proposed pulse-coupled oscillator model successfully generates chimera states.
  • The model exhibits key chimera properties, such as multiple synchronized clusters (heads).
  • The model allows for control over the natural drift observed in Kuramoto's chimera states.

Conclusions:

  • A novel pulse-coupled oscillator model provides a mechanistic explanation for chimera state emergence.
  • This model offers enhanced control over chimera state dynamics compared to previous systems.
  • The findings contribute to a deeper understanding of complex dynamics in coupled oscillator networks.