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On the existence of discontinuous periodic solutions for a class of Liénard systems with impulses

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  • Jiang, Fangfang
  • Sun, Jitao

Abstract

In this paper, we investigate the existence of discontinuous periodic solutions for a class of Liénard systems with state impulses, whose solutions are interrupted by abrupt changes of state. By employing Poincaré mapping method, a criterion for the existence of at least one discontinuous periodic solution in the impulsive Liénard systems is established. Finally, we give an example to illustrate the effectiveness of our result, and the corresponding numerical simulation is presented to show that there is a good agreement between our theoretical result with the computer numerical analysis.

Suggested Citation

  • Jiang, Fangfang & Sun, Jitao, 2016. "On the existence of discontinuous periodic solutions for a class of Liénard systems with impulses," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 259-265.
  • Handle: RePEc:eee:apmaco:v:291:y:2016:i:c:p:259-265
    DOI: 10.1016/j.amc.2016.07.004
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    References listed on IDEAS

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    1. Xiao, Qizhen & Dai, Binxiang, 2015. "Dynamics of an impulsive predator–prey logistic population model with state-dependent," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 220-230.
    2. Sun, Mingjing & Liu, Yinli & Liu, Sujuan & Hu, Zuoliang & Chen, Lansun, 2016. "A novel method for analyzing the stability of periodic solution of impulsive state feedback model," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 425-434.
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    Cited by:

    1. Li, Xiaodi & Deng, Feiqi, 2017. "Razumikhin method for impulsive functional differential equations of neutral type," Chaos, Solitons & Fractals, Elsevier, vol. 101(C), pages 41-49.

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