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A New Fractional-Order Chaotic System and Its Synchronization with Circuit Simulation

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Abstract

A new fractional-order chaotic system is proposed in this paper, and a list of state trajectories is presented with fractional derivative of different areas. Furthermore, a circuit diagram is studied to realize the fractional-order chaotic system. The new fractional-order chaotic system can be controlled to reach synchronization based on the nonlinear control theory, and the results between numerical emulation and circuit simulation are in agreement with each other.

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Acknowledgements

The authors would like to thank the reviewers for their useful comments and suggestions on our manuscript. This work was supported by the scientific research foundation of National Natural Science Foundation (No. 51109180), (No. 11161051), Personnel Special Fund of North West A&F University (RCZX-2009-01), the Natural Science Foundation of Guangxi Province (Grant No. 2012GXNSFAA053014).

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Authors and Affiliations

  1. Department of Electrical Engineering, Northwest A&F University, Shaanxi, Yangling, 712100, P.R. China

    Diyi Chen, Chengfu Liu, Cong Wu, Xiaoyi Ma & Yujing You

  2. School of Mathematics and Information Science, Yulin Normal University, Guangxi, Yulin, 537000, P.R. China

    Yongjian Liu

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  1. Diyi Chen
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  2. Chengfu Liu
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Correspondence to Xiaoyi Ma.

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Chen, D., Liu, C., Wu, C. et al. A New Fractional-Order Chaotic System and Its Synchronization with Circuit Simulation. Circuits Syst Signal Process 31, 1599–1613 (2012). https://doi.org/10.1007/s00034-012-9408-z

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  • DOI: https://doi.org/10.1007/s00034-012-9408-z

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