IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n857341.html

Exponential Stability of Periodic Solutions for Inertial Type BAM Cohen‐Grossberg Neural Networks

Author

Listed:
  • Chunfang Miao
  • Yunquan Ke

Abstract

The existence and exponential stability of periodic solutions for inertial type BAM Cohen‐Grossberg neural networks are investigated. First, by properly choosing variable substitution, the system is transformed to first order differential equation. Second, some sufficient conditions that ensure the existence and exponential stability of periodic solutions for the system are obtained by constructing suitable Lyapunov functional and using differential mean value theorem and inequality technique. Finally, two examples are given to illustrate the effectiveness of the results.

Suggested Citation

  • Chunfang Miao & Yunquan Ke, 2014. "Exponential Stability of Periodic Solutions for Inertial Type BAM Cohen‐Grossberg Neural Networks," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:857341
    DOI: 10.1155/2014/857341
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/857341
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/857341?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
    ---><---

    References listed on IDEAS

    as
    1. Chunguang Li & Guangrong Chen & Xiaofeng Liao & Juebang Yu, 2004. "Hopf bifurcation and chaos in a single inertial neuron model with time delay," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 41(3), pages 337-343, October.
    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. Wang, Wentao & Wu, Jihui & Chen, Wei, 2025. "The characteristics method to study global exponential stability of delayed inertial neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 232(C), pages 91-101.
    2. Li, Yi & Zhou, Xiaobing & Wu, Yue & Zhou, Mingtian, 2006. "Hopf bifurcation analysis of a tabu learning two-neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 190-197.
    3. Yang, Xiaofan & Yang, Maobin & Liu, Huaiyi & Liao, Xiaofeng, 2008. "Bautin bifurcation in a class of two-neuron networks with resonant bilinear terms," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 575-589.
    4. Huang, Chuangxia & Huang, Lihong & Feng, Jianfeng & Nai, Mingyong & He, Yigang, 2007. "Hopf bifurcation analysis for a two-neuron network with four delays," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 795-812.

    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:wly:jnlaaa:v:2014:y:2014:i:1:n:857341. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.