Coexisting synchronous and asynchronous states in locally coupled array ofoscillators by partial self-feedback control

Bidesh K. Bera, Dibakar Ghosh, Punit Parmananda, G. V. Osipov, Syamal K. Dana

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

We report the emergence of coexisting synchronous and asynchronous subpopulations ofoscillators in one dimensional arrays of identical oscillators by applying a self-feedbackcontrol. When a self-feedback is applied to a subpopulation of the array, similar tochimera states, it splits into two/more sub-subpopulations coexisting in coherent andincoherent states for a range of self-feedback strength. By tuning the coupling betweenthe nearest neighbors and the amount of self-feedback in the perturbed subpopulation, thesize of the coherent and the incoherent sub-subpopulations in the array can be controlled,although the exact size of them is unpredictable. We present numerical evidence using theLandau-Stuart system and the Kuramoto-Sakaguchi phase model.

Original languageEnglish
Article number073108
JournalChaos
Volume27
Issue number7
DOIs
StatePublished - 1 Jul 2017
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy (all)
  • Applied Mathematics

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