Collective behavior of coupled map lattices with different scales of local coupling  

作　　者：SHI WenJun 

机构地区：[1]Department of Physics and Electrical Engineering, Ningde Normal University, Ningde 352100, China

出　　处：《Chinese Science Bulletin》2011年第34期3723-3730,共8页

基　　金：supported by the Fujian Provincial Natural Science Foundation (2007J0205);the Project of Scientific Research of Ningde Normal University (2006Y007)

摘　　要：In this paper, I present a numerical study on the collective behavior of one-dimensional coupled map lattices with the nearest coupling to different scales for the whole system. Using the maximum Lyapunov exponent as a tool for subsystem and return mapping, I observed several basic patterns of collective behavior and investigated the contrasts between the different scales. To study the mechanism, the system under entirely random perturbations was investigated using the Monte Carlo method and the contrast with the deterministic approach is given. The results show that the response to a random input is complicated and involves the correlation of different signals and taking into consideration the dynamic properties of the system itself.In this paper, I present a numerical study on the collective behavior of one-dimensional coupled map lattices with the nearest coupling to different scales for the whole system. Using the maximum Lyapunov exponent as a tool for subsystem and return mapping, I observed several basic patterns of collective behavior and investigated the contrasts between the different scales. To study the mechanism, the system under entirely random perturbations was investigated using the Monte Carlo method and the contrast with the deterministic approach is given. The results show that the response to a random input is complicated and involves the correlation of different signals and taking into consideration the dynamic properties of the system itself.

关 键 词：耦合映射格子 行为 集体 最大LYAPUNOV指数 耦合映象格子 蒙特卡罗方法 子系统 数值研究 

分 类 号：O415.5[理学—理论物理] TN911.7[理学—物理]