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Amplitude-mediated chimera states.

Gautam C Sethia1, Abhijit Sen, George L Johnston

  • 1Institute for Plasma Research, Bhat, Gandhinagar 382 428, India and Max-Planck-Institute for Physics of Complex Systems, 01187 Dresden, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 16, 2013
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Summary
This summary is machine-generated.

Researchers discovered new amplitude-mediated chimera states in the nonlocal complex Ginzburg-Landau equation. These states exhibit intermittent amplitude dips and may explain patterns in fluid flow and other strongly coupled systems.

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Area of Science:

  • Complex systems dynamics
  • Nonlinear physics
  • Pattern formation

Background:

  • The nonlocal complex Ginzburg-Landau equation (NLCGLE) is a key model for studying pattern formation.
  • Understanding chimera states, which exhibit both coherent and incoherent behavior, is crucial in complex systems.
  • Amplitude variations are important in strongly coupled systems, but often neglected in NLCGLE studies.

Purpose of the Study:

  • To investigate chimera state solutions in the NLCGLE, specifically in the strong coupling limit where amplitude variations are significant.
  • To identify and characterize novel amplitude-mediated chimera states.
  • To map the parameter space for these newly discovered states.

Main Methods:

  • Numerical simulations of the nonlocal complex Ginzburg-Landau equation.
  • Analysis of spatiotemporal dynamics, focusing on amplitude and phase variations.
  • Parameter space mapping of identified chimera states.

Main Results:

  • Existence of diverse amplitude-mediated chimera states, including stationary and nonstationary two-cluster states.
  • Observation of intermittent emergence and decay of amplitude dips in phase-incoherent regions.
  • Numerical mapping of the existence regions for single-cluster and two-cluster chimera states in the NLCGLE parameter space (C(1), C(2)).

Conclusions:

  • Amplitude-mediated chimera states represent a new domain of dynamical behavior within the NLCGLE.
  • These findings expand the understanding of complex dynamics in the NLCGLE.
  • The discovered states offer potential applications in explaining spatiotemporal patterns in fluid dynamics and other strongly coupled systems.