A 3D Smale Horseshoe in a Hyperchaotic Discrete-Time System

Qingdu Li and Xiao-Song Yang

Discrete Dynamics in Nature and Society, 2007, vol. 2007, 1-9

Abstract:

This paper presents a three-dimensional topological horseshoe in the hyperchaotic generalized Hénon map. It looks like a planar Smale horseshoe with an additional vertical expansion, so we call it 3D Smale horseshoe. In this way, a computer assisted verification of existence of hyperchaos is provided by means of interval analysis.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:016239

DOI: 10.1155/2007/16239

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