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Limit cycles in a class of switching system with a degenerate singular point

Author

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  • Li, Feng
  • Liu, Yuanyuan

Abstract

Although switching systems have been investigated intensively, there are few results about limit cycles bifurcated from switching systems with degenerate singular point. In this paper, a method to compute focal values for degenerate critical point of switching systems was proposed. Furthermore, we studied a quartic system in order to illustrate the efficiency of our method.

Suggested Citation

  • Li, Feng & Liu, Yuanyuan, 2016. "Limit cycles in a class of switching system with a degenerate singular point," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 86-90.
    • Handle: RePEc:eee:chsofr:v:92:y:2016:i:c:p:86-90
    DOI: 10.1016/j.chaos.2016.09.012
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    Cited by:

    1. Chen, Ting & Huang, Lihong & Huang, Wentao & Li, Wenjie, 2017. "Bi-center conditions and local bifurcation of critical periods in a switching Z2 equivariant cubic system," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 157-168.
    2. Chun Zhang & Qiaoxia Tang & Zhixiang Wang, 2022. "Grazing and Symmetry-Breaking Bifurcations Induced Oscillations in a Switched System Composed of Duffing and van der Pol Oscillators," Mathematics, MDPI, vol. 10(5), pages 1-10, February.

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