REMARKS ON THE MEAN-FIELD DYNAMICS OF NETWORKS OF CHAOTIC ELEMENTS

被引：57

作者：

KANEKO, K

机构：

[1] Department of Pure and Applied Sciences, University of Tokyo, Meguro-ku, Tokyo, 153, Komaba

来源：

PHYSICA D-NONLINEAR PHENOMENA | 1995年 / 86卷 / 1-2期

关键词：

D O I：

10.1016/0167-2789(95)00097-N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fluctuations of the mean field of a globally coupled dynamical systems are discussed. The origin of hidden coherence is related with the instability of the fixed point solution of the self-consistent Perron-Frobenius equation. Collective dynamics in globally coupled tent maps are re-examined, both with the help of direct simulation and the Perron-Frobenius equation. Collective chaos in a single band state, and bifurcation against initial conditions in a two-band state are clarified with the return maps of the mean-field, Lyapunov spectra, and also the newly introduced Lyapunov exponent for the Perron-Frobenius equation. Future problems on the collective dynamics are discussed.

引用

页码：158 / 170

页数：13

共 66 条

[1] SOLITON TURBULENCE IN ONE-DIMENSIONAL CELLULAR AUTOMATA [J].