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Generalized synchronization between chimera states.

Ralph G Andrzejak1, Giulia Ruzzene1, Irene Malvestio1

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Summary
This summary is machine-generated.

Chimera states in coupled oscillator networks can synchronize across networks. Even with differing parameters, networks achieve generalized synchronization, aligning their distinct synchronous and asynchronous domains.

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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Network science

Background:

  • Chimera states, characterized by coexisting synchronous and asynchronous behavior in coupled oscillator networks, are increasingly observed in natural and artificial systems.
  • Synchronization and desynchronization phenomena are crucial not only within individual networks but also across interconnected networks.

Purpose of the Study:

  • To investigate the synchronization of chimera states across coupled networks.
  • To explore how drive-response couplings affect chimera states in identical and non-identical oscillator networks.

Main Methods:

  • Utilizing classical ring networks of non-locally coupled identical phase oscillators.
  • Applying diffusive drive-response couplings between pairs of networks exhibiting chimera states.
  • Analyzing identical networks and networks with phase lag parameter mismatches.
  • Employing the auxiliary system approach for non-identical networks.

Main Results:

  • Weak couplings align the coherent domain of the response network with the driver network.
  • Identical networks achieve complete synchronization with sufficiently strong coupling.
  • Non-identical networks establish generalized synchronization, maintaining distinct chimera dynamics.

Conclusions:

  • Chimera states can be synchronized across networks through diffusive coupling.
  • Generalized synchronization allows for the alignment of segregated synchronized and desynchronized domains across distinct networks.