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Dynamical behaviours of a 3D hysteresis-based system

Author

Listed:
  • Han, Fengling
  • Lü, Jinhu
  • Yu, Xinghuo
  • Chen, Guanrong

Abstract

This paper further investigates the dynamical behaviours of a hysteresis-based system. The multi-scroll chaotic attractors can be generated from a given three-dimensional (3D) linear system via a hysteresis series controller. The equilibrium points, stability, symmetry, limit cycles, and periodic windows of the general 3D hysteresis-based system are discussed. In particular, the controlled system has different dynamical behaviours for different hysteresis controllers. Numerical simulations show the abundant dynamical behaviours of the hysteresis-based systems.

Suggested Citation

  • Han, Fengling & Lü, Jinhu & Yu, Xinghuo & Chen, Guanrong, 2006. "Dynamical behaviours of a 3D hysteresis-based system," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 182-192.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:182-192
    DOI: 10.1016/j.chaos.2005.05.021
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    Cited by:

    1. Joshi, Manoj & Ranjan, Ashish, 2020. "Investigation of dynamical properties in hysteresis-based a simple chaotic waveform generator with two stable equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    2. Yu, Simin & Tang, Wallace K.S., 2009. "Generation of n×m-scroll attractors in a two-port RCL network with hysteresis circuits," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 821-830.

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