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A special memristive diode-bridge-based hyperchaotic hyperjerk autonomous circuit with three positive Lyapunov exponents

Author

Listed:
  • Rong, Xianwei
  • Chedjou, Jean Chamberlain
  • Yu, Xiaoyan
  • Shukhratovich, Makhkamov Bakhtiyor
  • Jiang, Donghua
  • Kengne, Jacques

Abstract

This work presents an autonomous hyperjerk type circuit where a generalized memristor consisting of a diode-bridge and an RC filter acts as nonlinear component. The dynamics equations of the proposed circuit are presented in the form of an infinitely differentiable (i.e. smooth) system of order six. A detailed analysis of the model, carried out using classic techniques for studying nonlinear systems, reveals surprising behaviors such as the coexistence of bifurcation modes, non-trivial transient behaviors, offset boosting, torus, chaos, as well as hyperchaos with three positive Lyapunov exponents. These results are obtained by varying both the initial states and the model parameters. This multitude of dynamic properties is verified in the laboratory by carrying out series of measurements on the prototype of the memristive circuit. To the best of our knowledge, the circuit proposed in this article represents the simplest memristor-based circuit known to date in the relevant literature which can generate hyperchaotic signals with three positive Lyapunov exponents.

Suggested Citation

  • Rong, Xianwei & Chedjou, Jean Chamberlain & Yu, Xiaoyan & Shukhratovich, Makhkamov Bakhtiyor & Jiang, Donghua & Kengne, Jacques, 2024. "A special memristive diode-bridge-based hyperchaotic hyperjerk autonomous circuit with three positive Lyapunov exponents," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924012566
    DOI: 10.1016/j.chaos.2024.115704
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    References listed on IDEAS

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    1. Fei Yu & Li Liu & Binyong He & Yuanyuan Huang & Changqiong Shi & Shuo Cai & Yun Song & Sichun Du & Qiuzhen Wan, 2019. "Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application," Complexity, Hindawi, vol. 2019, pages 1-18, November.
    2. Hanias, M.P. & Giannaris, G. & Spyridakis, A. & Rigas, A., 2006. "Time series analysis in chaotic diode resonator circuit," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 569-573.
    3. Zhang, Shaohua & Wang, Cong & Zhang, Hongli & Lin, Hairong, 2024. "Collective dynamics of adaptive memristor synapse-cascaded neural networks based on energy flow," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    4. Dmitri B. Strukov & Gregory S. Snider & Duncan R. Stewart & R. Stanley Williams, 2008. "The missing memristor found," Nature, Nature, vol. 453(7191), pages 80-83, May.
    5. Xiu, Chunbo & Fang, Jingyao & Liu, Yuxia, 2022. "Design and circuit implementation of a novel 5D memristive CNN hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
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