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Hyperchaos, quasi-period and coexisting behaviors in second-order-memristor-based jerk circuit

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Abstract

This paper generalizes a second-order-memristor-based jerk circuit, which is achieved by substituting the first-order memristor contained diode-bridge and RC filter in an existing memristive jerk circuit with a second-order one composed of diode-bridge and LC network. The second-order-memristor-based jerk circuit possesses an unstable saddle-focus and generates complex parameter-dependent dynamics, including hyperchaos, chaos, quasi-period, and period along with coexisting behaviors. The coexistences of symmetric chaotic and quasi-periodic attractors are shown by local attraction basins. Particularly, 2D two-layer-based dynamical maps on the system parameter spaces are employed to perfectly detect complex dynamical behaviors of hyperchaos and quasi-period. Furthermore, hardware breadboard is made for experimental investigations and the measurement results well validate complex parameter-dependent dynamics revealed by the numerical simulations.

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Authors and Affiliations

  1. School of Electronic Information, Nanjing College of Information Technology, Nanjing, 210023, P.R. China

    Fangyuan Li

  2. School of Information Science and Engineering, Changzhou University, Changzhou, 213164, P.R. China

    Changfen Tai, Jiaoyan Luo & Bocheng Bao

  3. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, P.R. China

    Han Bao

Authors
  1. Fangyuan Li
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  2. Changfen Tai
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  3. Han Bao
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  4. Jiaoyan Luo
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  5. Bocheng Bao
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Correspondence to Bocheng Bao.

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Li, F., Tai, C., Bao, H. et al. Hyperchaos, quasi-period and coexisting behaviors in second-order-memristor-based jerk circuit. Eur. Phys. J. Spec. Top. 229, 1045–1058 (2020). https://doi.org/10.1140/epjst/e2020-900123-5

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  • DOI: https://doi.org/10.1140/epjst/e2020-900123-5

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