Controlling pulse stability in singularly perturbed reaction-diffusion systems
Dynamical Systems
2023-08-07 v2 Analysis of PDEs
Optimization and Control
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.
Keywords
Cite
@article{arxiv.2304.03342,
title = {Controlling pulse stability in singularly perturbed reaction-diffusion systems},
author = {Frits Veerman and Isabelle Schneider},
journal= {arXiv preprint arXiv:2304.03342},
year = {2023}
}
Comments
11 pages, 5 figures