%0 Journal Article
%T Multi-almost periodicity and invariant basins of general neural networks under almost periodic stimuli
%A Zhenkun Huang
%J Mathematics
%D 2009
%I arXiv
%R 10.1002/cta.490
%X In this paper, we investigate convergence dynamics of $2^N$ almost periodic encoded patterns of general neural networks (GNNs) subjected to external almost periodic stimuli, including almost periodic delays. Invariant regions are established for the existence of $2^N$ almost periodic encoded patterns under two classes of activation functions. By employing the property of $\mathscr{M}$-cone and inequality technique, attracting basins are estimated and some criteria are derived for the networks to converge exponentially toward $2^N$ almost periodic encoded patterns. The obtained results are new, they extend and generalize the corresponding results existing in previous literature.
%U http://arxiv.org/abs/0911.3713v1