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

• 来源期刊: 科学通报(英文版)
• 学科: 物理学
• 年，卷（期）: 2011,（34）
• 页码范围: 3723-3730
• 页数: 8页
• 分类号: O415.5
• 语种: 中文

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.