IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v41y2009i4p1870-1872.html
   My bibliography  Save this article

On one interesting case of switching nonlinearity

Author

Listed:
  • Gluskin, Emanuel

Abstract

It is firstly explained that the chaotic states in [Liu X, Teo K-L, Zhang H, Chen G. Switching control of linear systems for generating chaos. Chaos, Solitons & Fractals 2006;30:725–33] are obtained by means of nonlinear switching, which is not clearly stated in [Liu et al., 2006]. This explanation shows the usefulness of the point of view on classification of switched systems as linear or nonlinear, which was developed in some recent works of the author. Then, some comments on the importance of the study of switched systems for the general theory of dynamic systems are made. This importance is seen, in particular, through analysis of the topic of nonlinearity.

Suggested Citation

  • Gluskin, Emanuel, 2009. "On one interesting case of switching nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1870-1872.
  • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1870-1872
    DOI: 10.1016/j.chaos.2008.07.041
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077908003433
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2008.07.041?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. Liu, Xinzhi & Teo, Kok-Lay & Zhang, Hongtao & Chen, Guanrong, 2006. "Switching control of linear systems for generating chaos," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 725-733.
    Full references (including those not matched with items on IDEAS)

    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. Xiong, Lianglin & Zhong, Shouming & Ye, Mao & Wu, Shiliang, 2009. "New stability and stabilization for switched neutral control systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1800-1811.
    2. Li, Ping & Zhong, Shou-Ming & Cui, Jin-Zhong, 2009. "Stability analysis of linear switching systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 474-480.
    3. Zhao, Yi & Xie, Lingli & Yiu, K.F. Cedric, 2009. "An improvement on Marotto’s theorem and its applications to chaotification of switching systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2225-2232.
    4. Barajas-Ramírez, Juan Gonzalo & Franco-López, Arturo & González-Hernández, Hugo G., 2021. "Generating Shilnikov chaos in 3D piecewise linear systems," Applied Mathematics and Computation, Elsevier, vol. 395(C).

    More about this item

    Statistics

    Access and download statistics

    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:chsofr:v:41:y:2009:i:4:p:1870-1872. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.