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Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks

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  • Hong Xiang
  • Ke-Ming Yan
  • Bai-Yan Wang

Abstract

By using coincidence degree theory as well as a priori estimates and Lyapunov functional, we study the existence and global stability of periodic solution for discrete delayed high-order Hopfield-type neural networks. We obtain some easily verifiable sufficient conditions to ensure that there exists a unique periodic solution, and all theirs solutions converge to such a periodic solution.

Suggested Citation

  • Hong Xiang & Ke-Ming Yan & Bai-Yan Wang, 2005. "Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks," Discrete Dynamics in Nature and Society, Hindawi, vol. 2005, pages 1-17, January.
    • Handle: RePEc:hin:jnddns:790507
    DOI: 10.1155/DDNS.2005.281
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