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

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...

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2012; no. 38; pp. 1 - 22
Main Author Wengui Yang
Format Journal Article
LanguageEnglish
Published Texas State University 14.03.2012
Subjects
Bidirectional associative memory
existence and stability
high-order Hopfield neural networks
impulses and delays
time scales
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Summary: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.
ISSN:1072-6691