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Model bridging chimera state and explosive synchronization.

Xiyun Zhang1, Hongjie Bi1, Shuguang Guan1

  • 1Department of Physics, East China Normal University, Shanghai 200062, China.

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Summary
This summary is machine-generated.

This study introduces a novel model linking chimera states (CS) and explosive synchronization (ES) in coupled oscillators. The model facilitates easier observation of CS, unlike previous methods dependent on initial conditions.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Network Science

Background:

  • Synchronization in coupled oscillators is crucial, with global and partial synchronization well-studied.
  • Chimera states (CS) and explosive synchronization (ES) are recent focal points, yet their relationship remains underexplored.

Purpose of the Study:

  • To investigate the relationship between chimera states (CS) and explosive synchronization (ES).
  • To present a novel model that bridges CS and ES phenomena in coupled oscillator systems.

Main Methods:

  • Development of a model with two groups of coupled oscillators.
  • Adaptive control of coupling strength via a local order parameter.
  • Theoretical and numerical analysis of system dynamics.

Main Results:

  • The model exhibits either CS or ES in limiting cases.
  • In intermediate regimes, both CS and ES are observed; CS with fixed coupling, ES with adiabatic increase.
  • Diverse CS basin patterns identified for identical oscillators, contingent on initial conditions.

Conclusions:

  • The proposed model offers a simplified approach to observing chimera states.
  • This work elucidates the interplay between CS and ES, providing a unified framework.