Periodic solutions for a class of higher-order Cohen-Grossberg type neural networks with delays

  • Authors:
  • Fengli Ren;Jinde Cao

  • Affiliations:
  • Department of Mathematics, Southeast University, Nanjing 210096, China;Department of Mathematics, Southeast University, Nanjing 210096, China

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2007

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Abstract

Sufficient conditions are obtained for the existence and global attractivity of periodic solutions of a class of higher-order Cohen-Grossberg type neural networks with delays. The proof is based on Gaines and Mawhin's continuation theorem of coincidence degree theory, the Lyapunov functional and a nonsingular M-matrix. One example is exploited to illustrate the effectiveness of the proposed criteria.