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Quasi-period oscillations of relay feedback systems

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  • Wen, Guilin
  • Wang, Qing-Guo
  • Lee, Tong Heng

Abstract

This paper presents an analytical method for investigation of the existence and stability of quasi-period oscillations (torus solutions) for a class of relay feedback systems. The idea is to analyze Poincaré map from one switching surface to the next based on the Hopf bifurcation theory of maps. It is shown that there exist quasi-period oscillations in certain relay feedback systems.

Suggested Citation

  • Wen, Guilin & Wang, Qing-Guo & Lee, Tong Heng, 2007. "Quasi-period oscillations of relay feedback systems," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 405-411.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:2:p:405-411
    DOI: 10.1016/j.chaos.2006.03.059
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    Cited by:

    1. Bao, B.C. & Wu, P.Y. & Bao, H. & Xu, Q. & Chen, M., 2018. "Numerical and experimental confirmations of quasi-periodic behavior and chaotic bursting in third-order autonomous memristive oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 161-170.
    2. Lin, Y. & Liu, W.B. & Bao, H. & Shen, Q., 2020. "Bifurcation mechanism of periodic bursting in a simple three-element-based memristive circuit with fast-slow effect," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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