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.
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页数：11
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