Pinning Control of Spatiotemporal Chaos

作     者：R. O. Grigoriev M. C. Cross H. G. Schuster 

作者机构：Condensed Matter Physics 114-36 and Neural Systems Program 139-74 California Institute of Technology Pasadena California 91125 

出 版 物：《Physical Review Letters》 (Phys Rev Lett)

年 卷 期：1997年第79卷第15期

页      面：2795-2795页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：Directorate for Mathematical and Physical Sciences, MPS, (9013984) Directorate for Mathematical and Physical Sciences, MPS 

摘      要：Linear control theory is used to develop an improved localized control scheme for spatially extended chaotic systems, which is applied to a coupled map lattice as an example. The optimal arrangement of the control sites is shown to depend on the symmetry properties of the system, while their minimal density depends on the strength of noise in the system. The method is shown to work in any region of parameter space and requires a significantly smaller number of controllers compared to the method proposed earlier by Hu and Qu [Phys. Rev. Lett. 72, 68 (1994)]. A nonlinear generalization of the method for a 1D lattice is also presented.