Controlling pulse stability in singularly perturbed reaction-diffusion systems

被引：1

作者：

Veerman, F. ^{[1
]}

Schneider, I. ^{[2
]}

机构：

[1] Leiden Univ, Math Inst, Niels Bohrweg 1, NL-2333 CA Leiden, Netherlands

[2] Univ Rostock, Inst Math, Ulmenstr 69, D-18057 Rostock, Germany

来源：

CHAOS | 2023年 / 33卷 / 08期

关键词：

FEEDBACK-CONTROL; BIFURCATIONS; PATTERNS; EQUATION; CHAOS;

D O I：

10.1063/5.0152695

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：11

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