Anisotropic properties of riddled basins

被引：6

作者：

Ashwin, P ^{[1
]}

Breakspear, M ^{[1
]}

机构：

[1] Univ Surrey, Dept Math & Stat, Guildford GU2 7XH, Surrey, England

来源：

PHYSICS LETTERS A | 2001年 / 280卷 / 03期

关键词：

D O I：

10.1016/S0375-9601(01)00043-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider some general properties of chaotic attractors with riddled basins of attraction (basins with positive measure but open dense complements) in dynamical systems with symmetries. We investigate how a basin of attraction can be riddled in some directions and not in others if the attractor-is contained in the intersection of several invariant subspaces. This means that the extreme sensitivity to added noise (bubbling) associated with riddled basin attractors is in fact strongly dependent on the nature of the noise. We discuss examples of this for systems of globally coupled maps. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：139 / 145

页数：7

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