TOPOLOGICAL HORSESHOE IN A FRACTIONAL-ORDER QI FOUR-WING CHAOTIC SYSTEM | Zendy

Yanling Guo | Zendy; Guoyuan Qi | Zendy

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TOPOLOGICAL HORSESHOE IN A FRACTIONAL-ORDER QI FOUR-WING CHAOTIC SYSTEM

Author(s) -

Yanling Guo,

Guoyuan Qi

Publication year - 2015

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2015015

Subject(s) - chaotic , topological conjugacy , horseshoe (symbol) , mathematics , poincaré map , order (exchange) , topology (electrical circuits) , mathematical analysis , physics , pure mathematics , computer science , bifurcation , combinatorics , nonlinear system , artificial intelligence , economics , programming language , finance , quantum mechanics

A fractional-order Qi four-wing chaotic system is present based on the Grunwald-Letnikov denition. The existence of topological horseshoe in a fractional chaotic system is analyzed by utilizing topological horseshoe theory. A Poincare section is properly chosen to obtain the Poincare map which is proved to be semi-conjugate to a 2-shift map, implying that the fractional-order Qi four-wing chaotic system exhibits chaos.

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