Collective Lyapunov modes

被引：19
|
作者：
Takeuchi, Kazumasa A. [1 ,2 ]
Chate, Hugues [2 ]
机构：
[1] Univ Tokyo, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan
[2] CEA Saclay, Serv Phys Etat Condense, F-91191 Gif Sur Yvette, France
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2013年 / 46卷 / 25期
关键词：
CHARACTERISTIC EXPONENTS; CHAOS; DYNAMICS; LIMIT; LAW;
D O I：
10.1088/1751-8113/46/25/254007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
show, using covariant Lyapunov vectors in addition to standard Lyapunov analysis, that there exists a set of collective Lyapunov modes in large chaotic systems exhibiting collective dynamics. Associated with delocalized Lyapunov vectors, they act collectively on the trajectory and hence characterize the instability of its collective dynamics. We further develop, for globally coupled systems, a connection between these collective modes and the Lyapunov modes in the corresponding Perron-Frobenius equation. We thereby address the fundamental question of the effective dimension of collective dynamics and discuss the extensivity of chaos in the presence of collective dynamics.
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收藏
页数：20
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