Existence and stability of almost periodic solution for BAM neural networks with delays

Authors:
Anping Chen;Lihong Huang;Jinde Cao
Affiliations:
Department of Mathematics, Chenzhou Teacher's College, Chenzhou, Human 423000, China;College of Mathematics and Econometrics, Hunan University, Changsha 410082, China;Department of Applied Mathematics, Southeast University, Nanjing 210096, China
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

By using the Banach fixed point theorem and constructing suitable Lyapunov function, some sufficient conditions are obtained ensuring existence, uniqueness and global stability of almost periodic solution of the BAM neural networks with variable coefficients and delays. These results are helpful to design global exponential stable BAM networks and almost periodic oscillatory BAM networks.