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Phase-flip chimera induced by environmental nonlocal coupling.

V K Chandrasekar1, R Gopal2,3, D V Senthilkumar4

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Summary

Researchers discovered a new collective dynamical state, the phase-flip chimera, in nonlinear oscillators. This state features synchronized domains separated by an incoherent region, emerging after full synchronization.

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Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Network science

Background:

  • Chimera states, a hallmark of complex systems, involve coexisting synchronized and desynchronized dynamical behaviors in coupled oscillator networks.
  • Conventional chimeras typically emerge as intermediate states between full incoherence and full coherence.

Purpose of the Study:

  • To report the novel emergence of a phase-flip chimera, a distinct collective dynamical state.
  • To characterize the properties and emergence conditions of this new chimera state.

Main Methods:

  • Simulations of an ensemble of identical nonlinear oscillators with indirect coupling through a common environment.
  • Analysis of dynamical transitions using measures like strength of incoherence and correlation coefficients.
  • Application of the master stability function framework.

Main Results:

  • Observed the emergence of the phase-flip chimera, characterized by two adjacent out-of-phase synchronized domains and an incoherent domain.
  • Demonstrated that the phase-flip chimera generally follows the conventional chimera and emerges after complete synchronization.
  • Attractors of coherent domains can originate from the same or different basins of attraction.

Conclusions:

  • The phase-flip chimera represents a novel collective dynamical state in nonlinear oscillator systems.
  • Its emergence mechanism and characteristics differ from conventional chimera states, particularly in its post-synchronization appearance.