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Extreme multistability in a new hyperchaotic meminductive circuit and its circuit implementation

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Abstract.

In this paper, a new hyperchaotic meminductive circuit was designed. Based on the normalized mathematical model, the origin point as the unique equilibrium point of system was calculated. Especially, using the two-dimension complexity algorithms, the dynamical behaviors of system were analyzed. In the analysis, some peculiar physical phenomenon for instance coexisting evolution and infinitely many coexisting attractors were found. Finally, the practical circuit was physically implemented and the parameters of all the components are displayed. The results of numerical simulation show that the new circuit system is extremely multistable. It provides a theoretical guidance for the research of the chaotic related field.

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Authors and Affiliations

  1. School of Information Science and Technology, Dalian Maritime University, 116026, Dalian, China

    Xiaolin Ye, Xingyuan Wang, Hongyu Zhao, Hao Gao & Ming Zhang

Authors
  1. Xiaolin Ye
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  2. Xingyuan Wang
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  3. Hongyu Zhao
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  4. Hao Gao
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  5. Ming Zhang
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Correspondence to Xingyuan Wang.

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Ye, X., Wang, X., Zhao, H. et al. Extreme multistability in a new hyperchaotic meminductive circuit and its circuit implementation. Eur. Phys. J. Plus 134, 206 (2019). https://doi.org/10.1140/epjp/i2019-12535-0

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  • DOI: https://doi.org/10.1140/epjp/i2019-12535-0

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