Existence of exponential periodic attractor of BAM neural networks with time-varying delays and impulses

A class of BAM neural networks with time-varying delays and impulses is proposed in this paper. By using Mawhin's continuation theorem, some analysis techniques and Lyapunov functional, sufficient conditions ensuring the existence of exponential periodic attractor of this system are established. The main results are much different from previously known results [9], [18] and [28]. Applications and an illustrative example are given to show the effectiveness of our main results.