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Dynamical Behavior of a 3D Jerk System with a Generalized Memristive Device

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  • Wei Feng
  • Yi-Gang He
  • Chun-Lai Li
  • Xun-Min Su
  • Xiao-Qing Chen

Abstract

As a new type of electronic components, a memristive device is receiving worldwide attention and can enrich the dynamical behaviors of the oscillating system. In this paper, we propose a 3D jerk system by introducing a generalized memristive device. It is found that the dynamical behaviors of the system are sensitive to the initial conditions even the system parameters are fixed, which results in the coexistence of multiple attractors. And there exists different transition behaviors depending on the selection of the parameters and initial values. Thereby, it is one important type of the candidate system for secure communication since the reconstruction of accurate state space becomes more difficult. Moreover, we build a hardware circuit and the experimental results effectively confirm the theoretical analyses.

Suggested Citation

  • Wei Feng & Yi-Gang He & Chun-Lai Li & Xun-Min Su & Xiao-Qing Chen, 2018. "Dynamical Behavior of a 3D Jerk System with a Generalized Memristive Device," Complexity, Hindawi, vol. 2018, pages 1-10, August.
    • Handle: RePEc:hin:complx:5620956
    DOI: 10.1155/2018/5620956
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    Cited by:

    1. Wen, Zihao & Li, Zhijun & Li, Xiang, 2019. "Bursting oscillations and bifurcation mechanism in memristor-based Shimizu–Morioka system with two time scales," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 58-70.

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