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

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.

Keywords

• Bidirectional associative memory
• impulses and delays
• high-order Hopfield neural networks
• existence and stability
• time scales