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arXiv · 2304.03342

Controlling pulse stability in singularly perturbed reaction-diffusion systems

Frits Veerman·Isabelle Schneider
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Abstract

The aim of this paper is to investigate the use of Pyragas control on the stability of stationary, localised coherent structures in a general class of two-component, singularly perturbed, reaction-diffusion systems. We use noninvasive Pyragas-like proportional feedback control to stabilise 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 stabilise an otherwise unstable pulse.

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Frits Veerman, Isabelle Schneider. 2023-04-06. Controlling pulse stability in singularly perturbed reaction-diffusion systems. https://arxiv.org/abs/2304.03342

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