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A New Multi-wing Chaotic System and Its Fractional-Order Form

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Theory, Methodology, Tools and Applications for Modeling and Simulation of Complex Systems (AsiaSim 2016, SCS AutumnSim 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 645))

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Abstract

This paper presents a new multi-wing chaotic system by adding a piecewise linear function into the simplest memristive chaotic circuit equations. In order to clarify the evolution of the dynamics behavior of this system, phase portraits, Lyapunov exponent spectrum and bifurcation diagram are provided. Moreover, the fractional-order form of the new multi-wing system is constructed by the fractional calculus technique. And the fractional-order multi-wing system is implemented by electronic circuit. The results of circuit experiment are well consistent with the numerical simulations.

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Acknowledgements

This work was supported in part by the Natural Science Foundation of China Under Grants of 61573199 and 61573200, the Tianjin Natural Science Foundation Grant No. 14JCYBJC18700.

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Authors and Affiliations

  1. Key Laboratory of Intelligent Robotics of Tianjin, College of Computer and Control Engineering, Nankai University, Tianjin, 300353, China

    Zengqiang Chen, Leilei Zhou, Jian Ma & Zhonglin Wang

  2. College of Science, Civil Aviation University of China, Tianjin, 300300, China

    Zengqiang Chen & Qing Zhang

Authors
  1. Zengqiang Chen
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  2. Leilei Zhou
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  3. Jian Ma
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  4. Zhonglin Wang
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  5. Qing Zhang
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Corresponding author

Correspondence to Zengqiang Chen .

Editor information

Editors and Affiliations

  1. Beihang University , Beijing, China

    Lin Zhang

  2. Beihang University , Beijing, China

    Xiao Song

  3. Beihang University , Beijing, China

    Yunjie Wu

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Chen, Z., Zhou, L., Ma, J., Wang, Z., Zhang, Q. (2016). A New Multi-wing Chaotic System and Its Fractional-Order Form. In: Zhang, L., Song, X., Wu, Y. (eds) Theory, Methodology, Tools and Applications for Modeling and Simulation of Complex Systems. AsiaSim SCS AutumnSim 2016 2016. Communications in Computer and Information Science, vol 645. Springer, Singapore. https://doi.org/10.1007/978-981-10-2669-0_11

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  • DOI: https://doi.org/10.1007/978-981-10-2669-0_11

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2668-3

  • Online ISBN: 978-981-10-2669-0

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