1) non-wandering set
非游荡集
1.
This paper investigates the pointwise pseudo-orbit tracing property on the non-wandering set.
讨论了非游荡集上的逐点伪轨跟踪性,证明了定义在紧度量空间上的连续满射若具有逐点伪轨跟踪性,那么它在非游荡集上的限制具有伪轨跟踪性。
2.
Here we study the topological structure of non-wandering set of self-continuous map on Y-space,we prove that for any x∈Yand x∈W(f)-P(f),then x∈Ω~(f).
本文研究Y-空间(Y={z∈C:z3∈[0,1]})上连续自映射的非游荡集的拓扑结构,证明了不在周期点闭包中ω-极限点都具有无限轨迹。
2) strongly non-wandering set
强非游荡集
1.
The notion of strongly non-wandering set is introduced into a compact system,by means of which a necessary condition is given for a system to be distributively chaotic and a Li-Yorke chaotic subshift without distributively chaotic pairs is constructed,which shows that subshift distributional chaos is not equivalent to Li-Yorke chaos.
通过在紧致系统中引入强非游荡集的概念,给出了系统为分布混沌的一个必要条件,并构造了没有分布混沌对的Li-Yorke混沌子移位。
4) weakly wandering set
弱游荡集
5) non-wandering point
非游荡点
1.
It is proved that Poisson-stable points are dense in the locally compact phase space X if and only if non-wandering points are dense in the X.
证明了如果相空间X局部紧,则Poisson稳定点在X中稠与非游荡点在X中稠等价。
2.
This article discusses a few important point sets: wandering point set,non-wandering point set and recurrence point set in a topological dynamical system,obtains the equivalence definitions and proofs of wandering point set and non-wandering point set,as well as the equivalence and its proof of several point set.
对拓扑动力系统中几个重要点集——游荡点集、非游荡点集和回归点集进行讨论,得到游荡点集和非游荡点集的几个等价定义,以及几个点集的等价性及其证明。
6) nonwandering
['nɔn'wɔndəriŋ]
非游荡性
1.
By introducing the general notion of nonwandering operator semigroup T(t) and utilizing a basic result in normed linear space,the nonwandering property of T(t)=e~(tA) is investigated with the constructive method.
通过给出一般算子半群T(t)的非游荡性概念,利用赋范空间的一个基本结果和直接的构造法证明了具有变系数的线性发展方程的强连续解半群T(t)=etA在适当的条件下是非游荡的;另外,通过对C-半群T(t)概念的引进,定义了一个无界算子半群etA,进一步证明了这二者关于非游荡性的联系;最后给出了一个无界算子半群etP(B)关于非游荡性理论的刻画,其中P(B)是微分多项式。
补充资料:非想非非想处天
1.佛教语。即三界中无色界第四天。此天没有欲望与物质﹐仅有微妙的思想。
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