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

Authors

Bidesh K. Bera, Indian Statistical Institute, Kolkata
Dibakar Ghosh, Indian Statistical Institute, Kolkata
Punit Parmananda, Indian Institute of Technology Bombay
G. V. Osipov, Lobachevsky State University of Nizhni Novgorod
Syamal K. Dana, Jadavpur University

Article Type

Research Article

Publication Title

Chaos

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.

DOI

10.1063/1.4993459

Publication Date

7-1-2017

Comments

Open Access, Green

Recommended Citation

Bera, Bidesh K.; Ghosh, Dibakar; Parmananda, Punit; Osipov, G. V.; and Dana, Syamal K., "Coexisting synchronous and asynchronous states in locally coupled array ofoscillators by partial self-feedback control" (2017). Journal Articles. 2505.
https://digitalcommons.isical.ac.in/journal-articles/2505