Discrete Dynamics in Nature and Society
Volume 6 (2001), Issue 3, Pages 201-206
doi:10.1155/S1026022601000218

Synchronizing spatiotemporal chaos by introducing a finite flat region in the local map

J. Y. Chen,1 K. W. Wong,1 H. Y. Zheng,2 and J. W. Shuai3

1Department of Electronic Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong
2Department of Electronic Engineering, Xiamen University, China
3Department of Biomedical Engineering, Case Western Reserve University, Cleveland 44106, Ohio, USA

Received 10 October 2000

Copyright © 2001 J. Y. Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An approach to synchronize spatiotemporal chaos is proposed. It is achieved by introducing a finite flat region in the local map. By using this scheme, a number of orbits in both the drive and the response subsystems are forced to pass through a fixed point in every dimension. With only an arbitrary phase space variable as drive signal, synchronization of spatiotemporal chaos can be achieved rapidly in the response subsystem. This is an advantage when compared with other synchronization methods that require a linear combination of the original phase space variables.