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Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback
Bidesh K Bera1, Dibakar Ghosh1, Punit Parmananda2
1Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108, India.
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 system and the Kuramoto-Sakaguchi phase model.
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