Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers | Zendy

Tianzeng Li | Zendy; Yu Wang | Zendy; Yong Yang | Zendy

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Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers

Author(s) -

Tianzeng Li,

Yu Wang,

Yong Yang

Publication year - 2014

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 - 10.1155/2014/408972

Subject(s) - synchronization (alternating current) , universality (dynamical systems) , control theory (sociology) , fractional order system , controller (irrigation) , mathematics , chaotic systems , order (exchange) , lyapunov stability , fractional calculus , synchronization of chaos , chaotic , computer science , control (management) , topology (electrical circuits) , physics , finance , quantum mechanics , combinatorics , artificial intelligence , biology , agronomy , economics

In this paper, the synchronization of fractional-order chaotic systems is studied and a new fractional-order controller for hyperchaos synchronization is presented based on the Lyapunov stability theory. The proposed synchronized method can be applied to an arbitrary four-dimensional fractional hyperchaotic system. And we give the optimal value of control parameters to achieve synchronization of fractional hyperchaotic system. This approach is universal, simple, and theoretically rigorous. Numerical simulations of several fractional-order hyperchaotic systems demonstrate the universality and the effectiveness of the proposed method

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