title: Stationary oscillation for chaotic shunting inhibitory cellular neural networks with impulses.
abstract: In this paper, we study stationary oscillation for general shunting inhibitory cellular neural networks with impulses which are complex nonlinear neural networks. In a recent paper [Z. J. Gui and W. G. Ge, Chaos 16, 033116 (2006)], the authors claimed that they obtained a criterion of existence, uniqueness, and global exponential stability of periodic solution (i.e., stationary oscillation) for shunting inhibitory cellular neural networks with impulses. We point out in this paper that the main result of their paper is incorrect, and presents a sufficient condition of ensuring existence, uniqueness, and global stability of periodic solution for general shunting inhibitory cellular neural networks with impulses. The result is derived by using a new method which is different from those of previous literature. An illustrative example is given to demonstrate the effectiveness.
authors.affiliation: Department of Mathematics, Tongji University, Shanghai 200092, China. sunjt@sh163.net
authors.forename: Jitao
authors.initials: J
authors.lastname: Sun
mesh_terms: D000465:Algorithms; D000818:Animals; D001703:Biophysics / Q000379:methods*; D003198:Computer Simulation; D006801:Humans; D008433:Mathematics; D008568:Memory; D008959:Models, Neurological; D015233:Models, Statistical; D008962:Models, Theoretical; D009415:Nerve Net; D017711:Nonlinear Dynamics; D009991:Oscillometry; D012815:Signal Processing, Computer-Assisted