Discrete Dynamics in Nature and Society
Volume 1 (1998), Issue 4, Pages 283-305
Nonlinear feedback control of spatiotemporal chaos in coupled map lattices
1China Institute of Atomic Energy, P.O. Box 275-27, Beijing 102413, China
2Department of Physics, The University of Lethbridge, Alberta, Lethbridge T1K 3M4, Canada
Received 5 May 1997
Copyright © 1998 Jin-Qing Fang and M. K. Ali. 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.
We describe a nonlinear feedback functional method for study both of control and synchronization of spatiotemporal chaos. The method is illustrated by the coupled map
lattices with five different connection forms. A key issue addressed is to find nonlinear
feedback functions. Two large types of nonlinear feedback functions are introduced. The
efficient and robustness of the method based on the flexibility of choices of nonlinear
feedback functions are discussed. Various numerical results of nonlinear control are
given. We have not found any difficulty for study both of control and synchronization
using nonlinear feedback functional method. The method can also be extended to time
continuous dynamical systems as well as to society problems.