Scaling-Base Drive Function Projective Synchronization between Different Fractional-Order Chaotic Systems | Zendy

Ping Zhou | Zendy; Kun Huang | Zendy

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Scaling-Base Drive Function Projective Synchronization between Different Fractional-Order Chaotic Systems

Author(s) -

Ping Zhou,

Kun Huang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/521812

Subject(s) - mathematics , synchronization (alternating current) , chaotic , scaling , synchronization of chaos , function (biology) , base (topology) , control theory (sociology) , nonlinear system , order (exchange) , chaotic systems , scheme (mathematics) , stability (learning theory) , topology (electrical circuits) , mathematical analysis , computer science , geometry , physics , control (management) , finance , combinatorics , quantum mechanics , artificial intelligence , evolutionary biology , economics , biology , machine learning

A new function projective synchronization scheme between different fractional-order chaotic systems, called scaling-base drive function projective synchronization (SBDFPS), is discussed. In this SBDFPS scheme, one fractional-order chaotic system is chosen as scaling drive system, one fractional-order chaotic system is chosen as base drive systems, and another fractional-order chaotic system is chosen as response system. The SBDFPS technique scheme is based on the stability theory of nonlinear fractional-order systems, and the synchronization technique is theoretically rigorous. Numerical experiments are presented and show the effectiveness of the SBDFPS scheme. © 2013 Ping Zhou and Kun Huang.

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