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Zbl 1220.37023
Li, Qingdu
A topological horseshoe in the hyperchaotic Rössler attractor. (English)
[J] Phys. Lett., A 372, No. 17, 2989-2994 (2008). ISSN 0375-9601

Summary: This Letter reports a horseshoe with two-directional expansion in the 4D hyperchaotic Rössler system. In order to show that it is indeed a horseshoe with two-dimensional expansion, some simple results on topological horseshoe which are applicable to 3D hyperchaotic maps are presented. In this way, a computer-assisted verification of hyperchaoticity is presented.
MSC 2000:
*37D45 Strange attractors, chaotic dynamics

Keywords: chaos; hyperchaos; topological horseshoe; hyperchaotic Rössler attractor

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