On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction–diffusion terms

Xuyang Lou, Baotong Cui and Wei Wu

Chaos, Solitons & Fractals, 2008, vol. 36, issue 4, 1044-1054

Abstract: Both exponential stability and existence of periodic solutions are considered for a class of bi-directional associative memory (BAM) neural networks with distributed delays and reaction–diffusion terms by constructing suitable Lyapunov functional and Young inequality technique. The general sufficient conditions are given ensuring the global exponential stability and existence of periodic solutions of BAM neural networks with distributed delays and reaction–diffusion terms. The earlier results are extended and improved, and an illustrative example is given to demonstrate the effectiveness of the results in this paper.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:4:p:1044-1054

DOI: 10.1016/j.chaos.2006.08.005

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