A Note on Shunting Inhibitory Neural Networks with Impulses

摘要：

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.

关键词： neural networks periodic solutions chaotic strange attractor

作者: Deming Yuan Zhanji Gui Jie Zhang

作者单位: Xuzhou Institute of Architectural techenology ,Xuzhou,Jiangsu,221116,P.R.China Department of Computer Science, Hainan Normal University, Haikou, 571158, P.R.China

会议类型: 国际会议

会议名称: The 1st International ELID-Grinding Conference(第一届镜面磨削技术国际会议)

会议地点: 长沙

会议语种:英文

页码: 88-92

在线出版日期: 2008-06-12（万方平台首次上网日期，不代表论文的发表时间）