Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (12): 1367-1373.

• Articles • Previous Articles     Next Articles

ON THE ASYMPTOTIC BEHAVIOR OF HOPFIELD NEURAL NETWORK WITH PERIODIC INPUTS

XIANG Lan1, ZHOU Jin1,2, LIU Zeng-rong2, SUN Shu3   

  1. 1. Department of Physics, Hebei University of Technology, Tianjin 300130, P. R. China;
    2. Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China;
    3. Naval Submarine Academy, Qingdao 266071, P. R. China
  • Received:2001-07-24 Revised:2002-04-30 Online:2002-12-18 Published:2002-12-18

Abstract: Without assuming the boundedness and differentiability of the nonlinear activation functions,the new sufficient conditions of the existence and the global exponential stability of periodic solutions for Hopfield neural network with periodic inputs are given by using Mawhin’s coincidence degree theory and Liapunov’s function method.

2010 MSC Number: 

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