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Time-delayed feedback control of breathing localized structures in a three-component reaction–diffusion system

Time-delayed feedback control of breathing localized structures in a three-component reaction–diffusion system

We investigate the dynamics of a single breathing localized structure in a three-component reaction-diffusion system subjected to the time-delayed feedback. We show that variation of the delay time and the feedback strength can lead either to stabilization of the breathing or to delay-induced periodic or quasiperiodic oscillations of the localized …