摘要
考察了一类具有两个神经元的时滞细胞神经网络系统,利用重合度理论中的延拓定理和不等式的分析原理,在放弃已有文献对神经网络中信号函数所要求的李普希兹条件的前提下,分三种情形,得到了该系统周期解存在的充分判据.这些条件在一些应用领域是可行的且易检验,同时也为神经网络系统周期解的存在性问题提供了一个新的有效方法.
A class of delays cellular neural networks system with two neurons was considered. By using the continuation of coincidence degree theory and differential inequality technique. Some new sufficient conditions for the existence of the periodic solutions of the system were established in three cases, the results avoided＇the transitional Lipschitz conditions of signal transmission functions in the literature. The conditions are very viable and easily checked in some applied fields. In addition, we provided a new and efficacious method for the qualitative analysis of neural networks.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2005年第9期117-119,127,共4页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
中国博士后科学基金资助项目
湖北省教育厅重大科研基金资助项目(2004Z001)
湖北省教育厅优秀创新团队资助项目.
关键词
细胞神经网络
时滞
周期解
延拓定理
存在性
cellular networks
delays
periodic solutions
the continuation theory
existence
