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J. Korean Math. Soc. 2011; 48(2): 223-240
Printed March 1, 2011
https://doi.org/10.4134/JKMS.2011.48.2.223
Copyright © The Korean Mathematical Society.
New conditions on existence and global asymptotic stability of periodic solutions for BAM neural networks with time-varying delays
Zhengqiu Zhang and Zheng Zhou
Hunan University, Hunan University
In this paper, the problem on periodic solutions of the bidirectional associative memory neural networks with both periodic coefficients and periodic time-varying delays is discussed. By using degree theory, inequality technique and Lyapunov functional, we establish the existence, uniqueness, and global asymptotic stability of a periodic solution. The obtained results of stability are less restrictive than previously known criteria, and the hypotheses for the boundedness and monotonicity on the activation functions are removed.
Keywords: periodic solution, BAM neural networks, global asymptotic stability, coincidence degree theory, Lyapunov functional
MSC numbers: 34K13, 34K20, 34K25
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