ITERATION OF THE COUPLED MAP LATTICE CONSTRUCTION

被引：2
|
作者：
JAKOBSEN, A [1 ]
KNILL, O [1 ]
机构：
[1] CALTECH,DIV PHYS MATH & ASTRON,PASADENA,CA 91125
来源：
PHYSICS LETTERS A | 1995年 / 205卷 / 2-3期
关键词：
D O I：
10.1016/0375-9601(95)00573-L
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We define a class F of topological dynamical systems, which are left invariant by coupled map lattice constructions. This class F has the property that if the coupling of the systems is sufficiently weak and (M, f) contains a hyperbolic set, then the new system phi(M, f) obtained by the coupled map lattice construction has a hyperbolic set too. The coupled map lattice construction, map phi, can be iterated and leads to dynamical systems (M(n), f(n)) with a hierarchical diffusion structure. We obtain examples where shifts are embedded in all scales of the limiting system (M(infinity), f(infinity)) is an element of F.
引用
收藏
页码：179 / 183
页数：5
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