Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1139130 | Mathematics and Computers in Simulation | 2014 | 11 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
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Control and Systems Engineering
Authors
Viktor Avrutin, Irina Sushko, Laura Gardini,