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arXiv · 1707.01266

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

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

We report the emergence of coexisting synchronous and asynchronous subpopulations of oscillators in one dimensional arrays of identical oscillators by applying a self-feedback control. When a self-feedback is applied to a subpopulation of the array, similar to chimera states, it splits into two/more sub-subpopulations coexisting in coherent and incoherent states for a range of self-feedback strength. By tuning the coupling between the nearest neighbors and the amount of self-feedback in the perturbed subpopulation, the size 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 the Landau-Stuart (LS) system and the Kuramoto-Sakaguchi (KS) phase model.

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Bidesh K. Bera, Dibakar Ghosh, Punit Parmananda, G. V. Osipov, Syamal K. Dana. 2017-07-05. Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control. https://doi.org/10.1063/1.4993459

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