A Note on Shunting Inhibitory Neural Networks with Impulse
In a recent paper in this journal Chaos 16, 033116(2006), by using the continuation theorem of coincidence degree theory and constructing suitable Lyapunov functions, the existence, uniqueness and global exponential stability of periodic solution have been proved for shunting inhibitory cellular neural networks with impulses. The numerical simulation shows that the models can occur in many forms of complexities including periodic oscillation and chaotic strange attractor. But the proof of global exponential stability of periodic solutions is incorrect. In this paper, the wrong proof is revised. It is obvious that the method of this paper may be extended to study the existence and global exponential stability of the periodic solutions for the nonautonomous cellular neural networks systems.
neural networks periodic solutions chaotic strange attractor
Deming Yuan Zhanji Gui Jie Zhang
Xuzhou Institute of Architectural techenology, Xuzhou, Jiangsu, 221116, P.R.China Department of Computer Science, Hainan Normal University, Haikou, 571158, P.R.China
国际会议
山东泰安
英文
88-92
2008-07-25（万方平台首次上网日期，不代表论文的发表时间）