节点文献
具有跟踪性质的连续半流
CONTINUOUS SEML-FLOWS WITH THE SHADOWING PROPERLY
【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.
【Abstract】 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.
【关键词】 连续半流;
逆极限;
跟踪性质;
谱分解;
【Key words】 Continuous semi-flow; inverse limit; shadowing propertyt; spectral decomposition;
【Key words】 Continuous semi-flow; inverse limit; shadowing propertyt; spectral decomposition;
【基金】 国家自然科学基金
- 【文献出处】 应用数学学报 ,ACTA MATHEMATICAE APPLICATAE SINICA , 编辑部邮箱 ,1996年02期
- 【分类号】O175.1
- 【被引频次】4
- 【下载频次】52