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Generating Multi-Scroll Chaotic Attractors via Switched Fractional Systems

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Abstract

A method is presented to generate multi-scroll chaotic attractors by switched fractional systems. Two sub-models in this structure are constructed by different piecewise-linear functions. It is proved that the switched systems can demonstrate multi-scroll chaotic attractors with suitable parameters and switching rule. Moreover, in order to obtain the multi-scroll chaotic attractors with the lowest system order, the relationship between Lyapunov exponents and parameters is studied. It is found that the multi-scroll chaotic attractors can be presented with a system order larger than 0.9. Numerical examples are provided to illustrate the effectiveness of the proposed scheme.

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Authors and Affiliations

  1. Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150001, P.R. China

    Guanghui Sun & Mao Wang

  2. College of Information and Communication Engineering, Harbin Engineering University, Harbin, P.R. China

    Lilian Huang

  3. School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin, P.R. China

    Liqun Shen

Authors
  1. Guanghui Sun
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  2. Mao Wang
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  3. Lilian Huang
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  4. Liqun Shen
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Corresponding author

Correspondence to Guanghui Sun.

Additional information

This work was supported in part by the National Natural Science Foundation of China (60904050), and China Postdoctoral Science Foundation Funded Project (20090450997).

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Sun, G., Wang, M., Huang, L. et al. Generating Multi-Scroll Chaotic Attractors via Switched Fractional Systems. Circuits Syst Signal Process 30, 1183–1195 (2011). https://doi.org/10.1007/s00034-011-9272-2

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  • DOI: https://doi.org/10.1007/s00034-011-9272-2

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