A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points | Zendy

Ping Zhou | Zendy; Kun Huang | Zendy; Chunde Yang | Zendy

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A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points

Author(s) -

Ping Zhou,

Kun Huang,

Chunde Yang

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/910189

Subject(s) - chaotic , attractor , lyapunov exponent , synchronization of chaos , equilibrium point , mathematics , synchronization (alternating current) , fractional order system , order (exchange) , integer (computer science) , chaotic hysteresis , control theory (sociology) , computer science , fractional calculus , mathematical analysis , topology (electrical circuits) , differential equation , combinatorics , control (management) , finance , artificial intelligence , economics , programming language

A new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced. There is no-chaotic behavior for its corresponded integer-order system. We obtain that the largest Lyapunov exponent of this 4D fractional-order chaotic system is 0.8939 and yield the chaotic attractor. A chaotic synchronization scheme is presented for this 4D fractional-order chaotic system. Numerical simulations is verified the effectiveness of the proposed scheme

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