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1)  chain recurrent point
链回归点
1.
In this paper, the concepts of chain recurrent points and ω-limiting points on real segment is generalized to metric space.
主要将实线段上连续自映射的链回归点和ω-极限点推广到了度量空间。
2.
Let f be a continuous self-map of a tree T with n end points and every point of T be a chain recurrent point of f.
设f是端点数为n的树T上的连续自映射且T上的每一点都是f的链回归点
3.
For a continuous map of tree or graph to itself, we show the properties that every isolated chain recurrent point is an eventually periodic point, and an isolated chain recurrent point which is not in the orbit of a critical point and has no critical point in its orbit is a periodic point.
对树或图上的连续自映射,本文证明了孤立链回归点是最终周期点,如孤立链回归点不在临界点的轨道中且它的轨道中也不含有临界点,则它还是周期点。
2)  pointwise chain recurrent
逐点链回归
1.
It is showed that if f is pointwise chain recurrent (that is, every point of X is chain recurrent under f),then f is identity if Fix(f) is connected;f is turbulent if Fix(f) is disconnected.
指出:如果f是逐点链回归的(也就是说,X中的每一点在f下是链回归的),那么,若Fix(f)是连通的,则f是恒等映射;若Fix(f)是不连通的,则f含湍流。
3)  chain recurrent
链回归
1.
It is shown that a continuous flow with the AASP is chain transitive and some equivalent conditions of the continuous flow with the AASP to be chain recurrent are obtained.
对连续流引入渐近平均跟踪性质概念,证明具有渐近平均跟踪性质的连续流是链传递的,同时对具有渐近平均跟踪性质的连续流给出链回归的几个等价条件。
2.
A new chain recurrent_topological chain recurrent is introduced.
在一般拓扑空间上引入一种新的链回归概念———拓扑链回归,给出它与动力系统中其它回归概念的关系,特别是与Conley链回归〔1〕〔2〕的关
4)  chain recurrent set
链回归集
1.
For expansive flows with the shadowing property, we have studied some properties of chain recurrent sets.
研究具有跟踪性可扩流链回归集的几个性质,其结果可视为同胚相应结论的推广。
2.
The present paper presents the chain recurrent set with the expansive homeomorphism and shadowing properties and this connection for the mistake in literature [1] and its proof.
给出具有跟踪性可扩同胚的链回归集的几个性质 ,指出以往文献中证明链回归集无环性时的错误之处 ,并给出严格的证明 。
5)  recurrence point set
回归点集
6)  pointwise recurrent
逐点回归
1.
Secondly,the pointwise recurrent Warsaw circle maps are the identity map and that h_A(fg)=h_A(gf) for each increasing sequences of positive integers A.
设W为一个华沙圈,f为W到其自身的连续自映射,本文主要研究f的一些动力学性质,首先证明了f是传递的当且仅当f是D evaney混沌;其次证明了逐点回归映射是恒等映射;最后,得到华沙圈上拓扑序列熵具有交换性。
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说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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