Horseshoes in modified Chen’s attractors

Yan Huang and Xiao-Song Yang

Chaos, Solitons & Fractals, 2005, vol. 26, issue 1, 79-85

Abstract: In this paper we study dynamics of a class of modified Chen’s attractors, we show that these attractors are chaotic by giving a rigorous verification for existence of horseshoes in these systems. We prove that the Poincaré maps derived from these modified Chen’s attractors are semi-conjugate to the 2-shift map.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:1:p:79-85

DOI: 10.1016/j.chaos.2004.11.099

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