IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v291y2016icp259-265.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300316304349
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2016.07.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xinmiao An & Xiaomin Wang & Boyu Zhang, 2020. "Bimatrix Replicator Dynamics with Periodic Impulses," Dynamic Games and Applications, Springer, vol. 10(3), pages 676-694, September.
    2. Zhang, Meng & Zhao, Yi & Chen, Lansun & Li, Zeyu, 2020. "State feedback impulsive modeling and dynamic analysis of ecological balance in aquaculture water with nutritional utilization rate," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    3. Liu, Qiong & Zhang, Meng & Chen, Lansun, 2019. "State feedback impulsive therapy to SIS model of animal infectious diseases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 222-232.
    4. Ihsan Ullah Khan & Sanyi Tang & Biao Tang, 2019. "The State-Dependent Impulsive Model with Action Threshold Depending on the Pest Density and Its Changing Rate," Complexity, Hindawi, vol. 2019, pages 1-15, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:291:y:2016:i:c:p:259-265. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.