Dynamical Taxonomy: some taxonomic ranks to systematically classify every chaotic attractor
Christophe Letellier,
Nataliya Stankevich,
Otto E. Rössler
Abstract:Characterizing accurately chaotic behaviors is not a trivial problem and must allow to determine what are the properties that two given chaotic invariant sets share or not. The underlying problem is the classification of chaotic regimes, and their labelling. Addressing these problems correspond to the development of a dynamical taxonomy, exhibiting the key properties discriminating the variety of chaotic behaviors discussed in the abundant literature. Starting from the hierarchy of chaos initially proposed by … Show more
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