Controlling pulse stability in singularly perturbed reaction-diffusion systems-Reference-Cited by-同舟云学术

Controlling pulse stability in singularly perturbed reaction-diffusion systems

Published:2023-08-01 Issue:8 Volume:33 Page:
ISSN:1054-1500
Container-title:Chaos: An Interdisciplinary Journal of Nonlinear Science
language:en
Short-container-title:

Author:

Veerman F.¹^ORCID,Schneider I.²^ORCID

Affiliation:

1. Leiden University, Mathematisch Instituut 1 , Niels Bohrweg 1, 2333 CA Leiden, The Netherlands

2. Universität Rostock, Institut für Mathematik 2 , Ulmenstr. 69, 18057 Rostock, Germany

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.

Funder

Deutsche Forschungsgemeinschaft

Alexander von Humboldt-Stiftung

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/cha/article-pdf/doi/10.1063/5.0152695/18084757/083135_1_5.0152695.pdf

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