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Emergence of chimeras through induced multistability

Sangeeta Rani Ujjwal1, Nirmal Punetha2, Awadhesh Prasad3, and Ramakrishna Ramaswamy1

  • 1School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India
  • 2Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, D-01187 Dresden, Germany
  • 3Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India

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Phys. Rev. E 95, 032203 – Published 7 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032203

Abstract

Chimeras, namely coexisting desynchronous and synchronized dynamics, are formed in an ensemble of identically coupled identical chaotic oscillators when the coupling induces multiple stable attractors, and further when the basins of the different attractors are intertwined in a complex manner. When there is coupling-induced multistability, an ensemble of identical chaotic oscillators—with global coupling, or also under the influence of common noise or an external drive (chaotic, periodic, or quasiperiodic)—inevitably exhibits chimeric behavior. Induced multistability in the system leads to the formation of distinct subpopulations, one or more of which support synchronized dynamics, while in others the motion is asynchronous or incoherent. We study the mechanism for the emergence of such chimeric states, and we discuss the generality of our results.

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Outline

Information

Phys. Rev. E 95, 032203– Published 7 March, 2017
  • Received 16 August 2016
  • Revised 10 December 2016

©2017 American Physical Society

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