Synchronization of non-identical extended chaotic systems

Abstract

In this article a technique to achieve synchronization in spatially extended systems is introduced. The basic idea behind this method is to map a system of partial differential equations (PDEs) into a high-dimensional space where the representation of this PDE is an ordinary differential equation. By using semi-group theory, we are able to find conditions that ensure the synchronization of two systems of non-identical reaction–diffusion equations with a master–slave coupling.

Keywords:

• chaos synchronization
• reaction-diffusion equations
• coupled systems

AMS Subject Classifications::

• 70G60
• 74H65
• 35K57

Acknowledgements

This work was partially supported by Consejo de Desarrollo Científico y Humanístico de la Universidad Central de Venezuela and CDCHT-ULA, Project C1667-09-05-AA.

We also thank the second referee as we believe that their suggestions have improved the presentation and had suggested interesting lines of future research.