摘要
在这篇论文中,我们给出了连续半流的跟踪性质与其逆极限的跟踪性质之间的一些等价条件,并且做为应用,我们证明了具有强跟踪性质的连续半流在其游荡集上的限制也具有强跟踪性质以及连续半流的谱分解定理.
in this paper,we investigate the relationship between the shadowing propertyfor continuous semi-flows on a compact metric space and that for the continuous flows onthe inverse limit spaces.As applications,we show that the restriction to the nonwanderingset of a send-flow with the strong shadowing property has the strong shadowing property,and give the spectral decomposition theorem for send-flows.
出处
《应用数学学报》
CSCD
北大核心
1996年第2期297-303,共7页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金
关键词
连续半流
逆极限
跟踪性质
谱分解
动力系统
Continuous semi-flow
inverse limit
shadowing propertyt
spectral decomposition