Cyclicity of chaotic attractors in one-dimensional discontinuous maps
نویسندگان
چکیده
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. © 2012 IMACS. Published by Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Mathematics and Computers in Simulation
دوره 95 شماره
صفحات -
تاریخ انتشار 2014