Nonlinear feedback control of spatiotemporal chaos in coupled map lattices

Abstract

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.

Keywords

• Chaos
• Control
• Synchronization
• Feedback
• Nonlinear
• Spatiotemporal
• Coupled
• Map
• Lattice.