The existence of exponential periodic attractor of impulsive BAM neural network with periodic coefficients and distributed delays

Authors:
Yuanfu Shao;Binxiang Dai
Affiliations:
School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410075, PR China and School of Mathematics and Computer Science, Guizhou Normal University, Guiy ...;School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410075, PR China
Venue:
Neurocomputing
Year:
2010

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Abstract

By using Mawhin's continuation theorem, some analysis techniques and Lyapunov functional, we establish the sufficient conditions ensuring the existence of exponential periodic attractor of an impulsive BAM neural network with both periodic coefficients and distributed delays. Our results generalize and improve the previously known results. Finally, an example is given to illustrate the effectiveness of the results.