Electron. J. Diff. Equ., Vol. 2012 (2012), No. 38, pp. 1-22.

Existence and stability of periodic solutions of BAM high-order Hopfield neural networks with impulses and delays on time scales

Wengui Yang

Abstract:
By using Mawhins's continuation theorem of coincidence degree theory and constructing some suitable Lyapunov functions, the periodicity and the exponential stability for a class of bidirectional associative memory (BAM) high-order Hopfield neural networks with impulses and delays on time scales are investigated. An example illustrates our results.

Submitted November 9, 2011. Published March 14, 2012.
Math Subject Classifications: 34K13, 34K20, 92B20.
Key Words: Bidirectional associative memory; impulses and delays; high-order Hopfield neural networks; existence and stability; time scales.

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Wengui Yang
Ministry of Public Education, Sanmenxia Polytechnic
Sanmenxia 472000, China
email: yangwg8088@163.com

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