A computer-assisted proof for the existence of horseshoe in a novel chaotic system

Wen-Juan Wu, Zeng-Qiang Chen and Zhu-Zhi Yuan

Chaos, Solitons & Fractals, 2009, vol. 41, issue 5, 2756-2761

Abstract: The dynamics of a novel chaotic system are studied, and a rigorous computer-assisted proof for existence of horseshoe in this system is given. A Poincaré section is properly chosen to obtain the Poincaré map, which is proved to be semi-conjugate to the 4-shift map by utilizing topological horseshoe theory. This implies the entropy of the system is no less than log 4, and the system definitely exhibits chaos.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:5:p:2756-2761

DOI: 10.1016/j.chaos.2008.10.008

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