Title:
Controlling pulse stability in singularly perturbed reaction-diffusion systems
Author(s):
Veermann, Frits; Schneider, Isabelle
Year of publication:
2023
Available Date:
2023-10-25T13:33:08Z
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.
Part of Identifier:
e-ISSN (online): 1089-7682
Keywords:
Linear stability analysis
Control theory
Dynamical systems
Reaction-diffusion system
Perturbation theory
DDC-Classification:
510 Mathematik
Publication Type:
Wissenschaftlicher Artikel
URL of the Original Publication:
DOI of the Original Publication:
Publisher:
American Institute of Physics (AIP)
Department/institution:
Mathematik und Informatik
Institut für Mathematik
Comments:
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.