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Emergence of chimeras through induced multistability.

Sangeeta Rani Ujjwal1, Nirmal Punetha2, Awadhesh Prasad3

  • 1School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India.

Physical Review. E
|April 19, 2017
PubMed
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Chimeric states emerge in coupled chaotic oscillators due to complex interactions creating multiple stable dynamics. This study investigates the mechanisms behind these mixed synchronized and desynchronous behaviors in oscillator ensembles.

Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Chaos Theory

Background:

  • Chimeras, characterized by coexisting desynchronous and synchronized dynamics, arise in ensembles of coupled chaotic oscillators.
  • Their formation is linked to coupling-induced multistability and complex intertwinement of attractor basins.

Purpose of the Study:

  • To investigate the underlying mechanisms for the emergence of chimeric states in coupled chaotic oscillator systems.
  • To discuss the generality and implications of these findings across various coupling scenarios.

Main Methods:

  • Analysis of identically coupled identical chaotic oscillators.
  • Examination of systems with global coupling, common noise, or external drives (chaotic, periodic, quasiperiodic).

Main Results:

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  • Coupling-induced multistability inevitably leads to chimeric behavior in such ensembles.
  • Multistability results in distinct subpopulations exhibiting either synchronized or asynchronous dynamics.

Conclusions:

  • Chimeric states are a general phenomenon in coupled chaotic systems exhibiting multistability.
  • Understanding these mechanisms is crucial for comprehending complex dynamics in diverse systems.