On one mechanism of transition to chaos in lattice dynamical systems

被引：10

作者：

Bunimovich, LA ^{[1
]}

Venkatagiri, S ^{[1
]}

机构：

[1] GEORGIA INST TECHNOL,SCH MATH,ATLANTA,GA 30332

来源：

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS | 1997年 / 290卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0370-1573(97)00060-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper extends some results obtained earlier for coupled map lattices to the more general lattice dynamical systems. A transition to chaos in the lattice dynamics occurs when the strength of spatial interactions exceeds some threshold. This transition is generated by the peak-crossing bifurcation. It is shown that this mechanism can generate chaotic motion even in lattice dynamical systems with extremely simple local dynamics. The resulting regime of chaos is characterized by a space intermittency when the lattice is partitioned into alternating clusters that move chaotically and quasiregularly, respectively.

引用

页码：81 / 100

页数：20

共 14 条

[1] High temperature expansions and dynamical systems [J].