Controlling pulse stability in singularly perturbed reaction-diffusion systems

Chaos An Interdisciplinary Journal of Nonlinear Science, vol. 33

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.

Authors 1

1. Frits Veerman Aachen

   Leiden University

   Affiliation as printed

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