链分支 meaning in English
chain-branching
Examples
- Average - shadowing property ; chain component ; chain recurrent set ; anosov diffeomorphism
平均伪轨跟踪性质链分支链回归集anosov微分同胚 - We show that if f is positively expansive and has the potp , then there is no proper nonempty invariant subset of basic sets in which f has the potp
如果它还是正向膨胀的，则链分支中不存在真闭子集保持伪轨跟踪性。 - In section 2 . 2 , it is proved that if an expansive homeomorphism of a compact metric space have the potp , then it has the potp in its basic sets
2节证明了：对于紧致度量空间上的自同胚，若它有伪轨跟踪性且是膨胀的，则它在链分支上保持伪轨跟踪性。 - We also give some propertys of the limit shadowing property . in section 3 . 4 , a necessary and sufficient condition is given for continuous self - mappings of compact metric spaces having the potp . in the end , we give some properties of the strong shadowing
4节研究了弱伪轨跟踪性及强跟踪性，给出了弱伪轨跟踪性转化为伪轨跟踪性的一个充要条件，并证明了强跟踪性在链分支上的保持性，最后证明了有限强跟踪性蕴涵着强跟踪性。 - It is proved that a homeomorphism on a compact metric space with the average - shadowing property has only one chain component which is the whole space . in particular , every point is chain recurrent . using this result it is given a short proof for a recent theorem of sakai
证明了紧致度量空间上具有平均伪轨跟踪性质的同胚只有一个链分支，这个链分支就是全空间。特别的，每个点是链回归的。利用这个结果，给出sakai新近一个定理的简短证明。