Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 38, pp. 1-22. Title: Existence and stability of periodic solutions of BAM high-order Hopfield neural networks with impulses and delays on time scales Author: Wengui Yang (Sanmenxia Polytechnic, China) 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.