GLOBALLY COUPLED CIRCLE MAPS

被引：159
作者：
KANEKO, K
机构：
[1] Department of Pure and Applied Sciences, College of Arts and Sciences, University of Tokyo, Meguro-ku, Tokyo, 153, Komaba
来源：
PHYSICA D | 1991年 / 54卷 / 1-2期
关键词：
D O I：
10.1016/0167-2789(91)90103-G
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A network of circle maps is investigated. Successive transitions are found among coherent, ordered, partially ordered (PO), and turbulent phases. In the ordered phase, two-cluster attractors with similarity have a large basin volume, which are reduced to a unique circle map through a scaling transformation with two parameters. The PO phase is characterized by the increase of partition complexity. In the phase, chaotic itinerancy is observed, whose dynamics consists of quasistationary high-dimensional chaotic motion, low-dimensional attractor ruins, and switching among them. Dependence of the diffusion constant on the size and the nonlinearity clearly deviates from that by a random phase approximation. suggesting remaining correlation among elements. even in the turbulent phase.
引用
收藏
页码：5 / 19
页数：15
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