BIFURCATIONS IN GLOBALLY COUPLED MAP LATTICES

被引：19

作者：

JUST, W

机构：

[1] Theoretische Festkörperphysik, Technische Hochschule Darmstadt, Darmstadt

来源：

JOURNAL OF STATISTICAL PHYSICS | 1995年 / 79卷 / 1-2期

关键词：

COUPLED MAP LATTICE; STABILITY ANALYSIS; NONHYPERBOLIC EFFECTS;

D O I：

10.1007/BF02179397

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The dynamics of globally coupled map lattices can be described in terms of a nonlinear Frobenius-Perron equation in the limit of large system size. This approach allows for an analytical computation of stationary states and their stability. The bifurcation behavior of coupled tent maps near the chaotic band merging point is presented. Furthermore, the time-independent states of coupled logistic equations are analyzed. The bifurcation diagram of the uncoupled map carries over to the map lattice. The analytical results are supplemented with numerical simulations

引用

页码：429 / 449

页数：21

共 29 条

[11] LINEAR AND NONLINEAR RESPONSE OF DISCRETE DYNAMICAL-SYSTEMS .2. CHAOTIC ATTRACTORS [J].