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