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Constructing hyperchaotic attractors of conditional symmetry

Author

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  • Zhenyu Gu

    (Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology
    Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science & Technology)

  • Chunbiao Li

    (Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology
    Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science & Technology)

  • Herbert H. C. Iu

    (School of Electrical, Electronic, and Computing Engineering, The University of Western Australian)

  • Fuhong Min

    (School of Electrical and Automation Engineering, Nanjing Normal University)

  • Yibo Zhao

    (Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology
    Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science & Technology)

Abstract

By applying the symmetry property of nonlinear function for obtaining new polarity balance, hyperchaotic systems of conditional symmetry are constructed, and coexisting hyperchaotic attractors of conditional symmetry originated from 1-D and 2-D offset boosting are captured accordingly. More interestingly, a symmetric hyperchaotic system is proven to host conditional symmetry, and consequently output coexisting symmetric pair of attractors and their duplication of conditional symmetry. Consequently, two independent processes of attractor merging are observed, which have not been previously reported. Furthermore, the property of offset boosting is discussed for the newly constructed hyperchaotic systems. Circuit implementation based on the develop kit of STM32 is developed, it demonstrates those coexisting attractors are in good agreement with the theoretical analysis and numerical simulations. Graphical abstract

Suggested Citation

  • Zhenyu Gu & Chunbiao Li & Herbert H. C. Iu & Fuhong Min & Yibo Zhao, 2019. "Constructing hyperchaotic attractors of conditional symmetry," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(10), pages 1-9, October.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:10:d:10.1140_epjb_e2019-100165-9
    DOI: 10.1140/epjb/e2019-100165-9
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    Cited by:

    1. Li, Chunbiao & Sprott, Julien Clinton & Zhang, Xin & Chai, Lin & Liu, Zuohua, 2022. "Constructing conditional symmetry in symmetric chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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    Keywords

    Solid State and Materials;

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