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Controlling pulse stability in singularly perturbed reaction-diffusion systems
1Leiden University, Mathematisch Instituut, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands.
Abstract:
The aim of this paper is to investigate the use of Pyragas control on the stability of stationary, localized coherent structures in a general class of two-component, singularly perturbed, reaction-diffusion systems. We use noninvasive Pyragas-like proportional feedback control to stabilize a singular pulse solution to a two-component, singularly perturbed reaction-diffusion system. We show that in a significant region of parameter space, the control can be adjusted to stabilize an otherwise unstable pulse.
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