Cyclicity of chaotic attractors in one-dimensional discontinuous maps
Cyclicity of chaotic attractors in one-dimensional discontinuous maps
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DOI：
10.1016/j.matcom.2012.07.019
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
V. Avrutin;I. Sushko;L. Gardini
中科院分区：
文献类型：
--
作者：
V. Avrutin;I. Sushko;L. Gardini
一个混沌吸引子可以由一定数量的带（不相交的连通子集）组成。在连续映射中，多带混沌吸引子是循环的，这意味着每个一般轨迹以相同的顺序访问带。证明了在不连续映射中，多带混沌吸引子可能是非循环的。此外，提出了一个简单的标准，它可以很容易地区分循环和非循环混沌吸引子。
A chaotic attractor may consist of some number of bands (disjoint connected subsets). In continuous maps multi-band chaotic attractors are cyclic, that means every generic trajectory visits the bands in the same order. We demonstrate that in discontinuous maps multi-band chaotic attractors may be acyclic. Additionally, a simple criterion is proposed which allows to distinguish easily between cyclic and acyclic chaotic attractors.