1) asymptotic pseudo orbit tracing property
渐近伪轨跟踪性质
1.
It is investigated that the relationship between the asymptotic pseudo orbit tracing property for continuous map f on a compact metric space X and that for the lift map of f on a covering space of X and show that (,) has the asymptotic pseudo orbit tracing property if and only if (X,f) has asymptotic pseudo orbit tracing property.
本文证明:(X,f)有渐近伪轨跟踪性质当且仅当(X,f)有渐近伪轨跟踪性质。
2) pseudo orbit tracing property
伪轨跟踪性质
1.
Furthermore, we proved if a self continuous map f has pseudo orbit tracing property, the following conditions 1),2),3)are equivalent.
本文证明了符号空间中存在混沌集Ｓ１，Ｓ２分别满足Ｓ１Ｒ（σ）－Ｗ（σ）和Ｓ２Ｗ（σ）－ＡＰ（σ），并证明了具有伪轨跟踪性质的紧致度量空间上的连续满射ｆ，以下条件互相等价：１）ＣＲ（ｆ）≠Ｒ（ｆ）２）Ｒ（ｆ）≠Ｗ（ｆ）３）Ｗ（ｆ）≠ＡＰ（ｆ
2.
In this paper,the relationship between f has the pseudo orbit tracing property and f is uniquely ergodic is investigated,where f is a continuous surjective map on a compact metric space.
讨论了紧致度量空间上的连续满射ｆ具有伪轨跟踪性质与ｆ是唯一遍历之间的关
3) pseudo-orbit tracing property
伪轨跟踪性质
1.
Using the pseudo-orbit tracing property and some other ways,the relations between some dynamical properties of a compact system(Z_1×Z_2,f_1×f_2) and(Z_i,f_i)(i=1,2) were studied.
利用伪轨跟踪性质和一些其他方法,研究了紧致系统(X1×X2,f1×f2)和(Xi,fi)(i=1,2)的一些动力性质间的关系,有些结果推广了文献[1]、[2]、[3~6]、[9~11]中相应结果。
2.
In this paper, we use the pseudo-orbit tracing property and some other ways to study the relations between the dynamical properties of compact system (X×X, f×f) and (X , f).
利用伪轨跟踪性质和一些其他方法,研究了紧系统(X×X,f×f)和(X,f)的动力性质间的关系,有些结果推广了文献[1～5]、[7～9]中的相应结果。
3.
In this paper, the pointwise pseudo-orbit tracing property is defined on a compact metric space, and it is a generalization of pseudo-orbit tracing property.
本文给出紧致度量空间逐点伪轨跟踪性质的定义,该定义是伪轨跟踪性质定义的推广。
4) weak shadowing property
弱伪轨跟踪性质
1.
In this paper, we study some properties of the pseudo-orbit tracing property and the weak shadowing property, and mainly discuss the relationship among totally transitive、chaos、topological double ergodicity and scatterings under the condition that maps of dynamical systems have the POTP or WSP.
在第3章中，我们首先给出了第二弱伪轨跟踪的一些基本性质，其次研究了逆极限系统和提升空间上的第二弱伪轨跟踪性质，最后讨论了第一弱伪轨跟踪性质与拓扑弱混合等混沌性态的关系以及在第一伪轨跟踪条件下，全可迁性质与拓扑遍历、混沌、扩散等动力性质之间的关系。
5) pseudo-orbit tracing property
伪轨跟踪性
1.
It is proved that if f is expanding and has the pseudo-orbit tracing property, then it has the limit shadowing property.
证明了若度量空间上的连续满射有伪轨跟踪性且是扩张映射,则它具有极限跟踪性。
2.
Some properties of the pseudo-orbit tracing property is generalized to the weak shadowing property.
将伪轨跟踪性的一些性质推广到弱跟踪性上 ,证明了 :( i) f有弱跟踪性当且仅当逆极限空间上的转移同胚 σf 有弱跟踪性 ;( ii) f 经投射作用后保持弱跟踪性等几个性质 。
3.
The pseudo-orbit tracing property(POTP) and the average-shadowing property(ASP)were generated along with the study and development of the stability in dynamical system,and had been one of the important properties.
伪轨跟踪性和平均跟踪性都是在伴随着动力系统中稳定性的研究与发展而产生的，已经成为动力系统理论中的重要动力性状之一。
6) shadowing property
伪轨跟踪性
1.
In this paper,we investigate shadowing property,exp-shadowing property, consistency exp-shadowing property and their relation ship for continuous maps on a compact metric space and that for the shift maps on the orbit space.
伪轨跟踪性是动力系统中的一个重要概念。
2.
The Research on the Average Shadowing Property and the Limit Weak Inverse Shadowing Property in Discrete Dynamical Systems;
伪轨跟踪性是动力系统理论研究中十分重要的概念，它与系统的稳定性有着密切的联系，在动力系统的定性理论中起着重要的作用。
补充资料：伪经伪轨
【伪经伪轨】
（术语）大黑天之本说。前所揭之仁王经，大日经，三世最胜心明王经，理趣经，孔雀经，仁王经疏，大日经疏，及寄归传等是也。世有佛说摩诃迦罗大黑天神大福德圆满陀罗尼经，摩诃迦罗大黑天神所问经等。皆伪经也。诸录不载。又，嘉祥寺神恺之大黑天神法。世称为大黑天仪轨。为人所据。然非真本。亦伪作也，但书中引用之经疏语悉正。
（术语）大黑天之本说。前所揭之仁王经，大日经，三世最胜心明王经，理趣经，孔雀经，仁王经疏，大日经疏，及寄归传等是也。世有佛说摩诃迦罗大黑天神大福德圆满陀罗尼经，摩诃迦罗大黑天神所问经等。皆伪经也。诸录不载。又，嘉祥寺神恺之大黑天神法。世称为大黑天仪轨。为人所据。然非真本。亦伪作也，但书中引用之经疏语悉正。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条