摘要
首先利用"不可分意味着混沌"从理论上证明了一维瞬时混沌神经网络在一定的条件下按Li＿Yorke意义是混沌的;特别地,进一步推出了混沌神经网络按Li＿Yorke意义是混沌的充分条件,而这将从理论上证明Aihara等人通过数值计算所得结论;最后。
It was theoretically proved that one_dimensional transiently chaotic neural networks have chaotic structure in sense of Li_Yorke theorem with some given assumptions using that no division implies chaos.In particular,it is further derived sufficient conditions for the existence of chaos in sense of Li_Yorke theorem in chaotic neural network,which leads to the fact that Aihara has demonstrated by numerical method.Finally,an example and numerical simulation are shown to illustrate and reinforce the previous theory.
出处
《应用数学和力学》
EI
CSCD
北大核心
2003年第8期874-880,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(70271065)
关键词
混沌神经网络
混沌
不可分性
chaotic neural networks
chaos
no division
