Anti-periodic Solutions of Impulsive Cohen-Grossberg SICNNs on Time Scales

Since Bouzerdout and Pinter in [1993] described SICNNs as a new cellular neural networks, SICNNs have been extensively applied in psychophysics, perception, robotics, adaptive pattern recognition, vision and image processing, etc. It is shown that the applicability and efficiency of such networks hinge upon their dynamics, and therefore the analysis of dynamic behaviors is a preliminary step for any practical design and application of the networks. In particular, considerable effort has been devoted to the study of dynamic behaviors on the existence and stability of the equilibrium point, periodic and almost periodic solutions of SICNNs with time-varying delays and continuously distributed delays in the literature (see, e.g., [X.S. Yang, 2009; Y.H. Xia, 2007; L. Chen, 2008; Y.Q. Li, 2008] and the references therein).