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A practical synchronization approach for fractional-order chaotic systems

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Abstract

A practical synchronization approach is proposed for a class of fractional-order chaotic systems to realize perfect \(\delta \)-synchronization, and the nonlinear functions in the fractional-order chaotic systems are all polynomials. The \(\delta \)-synchronization scheme in this paper means that the origin in synchronization error system is stable. The reliability of \(\delta \)-synchronization has been confirmed on a class of fractional-order chaotic systems with detailed theoretical proof and discussion. Furthermore, the \(\delta \)-synchronization scheme for the fractional-order Lorenz chaotic system and the fractional-order Chua circuit is presented to demonstrate the effectiveness of the proposed method.

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Acknowledgements

Funding was provided by Natural Science Foundation of Chongqing (Grant No. cstc2013jcyjA00026).

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Authors and Affiliations

  1. Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

    Ping Zhou & Peng Zhu

  2. Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

    Ping Zhou

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  1. Ping Zhou
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  2. Peng Zhu
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Correspondence to Ping Zhou.

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Zhou, P., Zhu, P. A practical synchronization approach for fractional-order chaotic systems. Nonlinear Dyn 89, 1719–1726 (2017). https://doi.org/10.1007/s11071-017-3546-6

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  • DOI: https://doi.org/10.1007/s11071-017-3546-6

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