1) strong inverse shadowing
强逆伪轨跟踪性
1.
In this paper we gave a character of structurally stable diffeomorphisms via the notion of inverse shadowing and proved that a structurally stable diffeomorphism has the strong inverse shadowing property with respect to two classes of continuous methods.
利用逆伪轨跟踪性给出结构稳定微分动力系统的一个特征,证明了结构稳定的微分同胚关于两种连续方法的类具有强逆伪轨跟踪性。
2) inverse shadowing
逆伪轨跟踪性
1.
In this paper we gave a character of structurally stable diffeomorphisms via the notion of inverse shadowing and proved that a structurally stable diffeomorphism has the strong inverse shadowing property with respect to two classes of continuous methods.
利用逆伪轨跟踪性给出结构稳定微分动力系统的一个特征,证明了结构稳定的微分同胚关于两种连续方法的类具有强逆伪轨跟踪性。
3) 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。
4) 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。
5) sequence pseudoorbit tracing property
序列伪轨跟踪性
1.
If f is homeomophism,then f has sequence pseudoorbit tracing property if and only if the shift map σ f on the limit space has sequence pseudoorbit tracing property.
给出序列伪轨跟踪性的定义 ,得到拓扑可迁的一个充分条件 。
6) Pointwise pseudo-orbit tracing property
逐点伪轨跟踪性
1.
In this paper,we mainly discuss the pointwise pseudo-orbit tracing property of the induced map f_∞ on the inverse limit space X_∞.
研究了逆极限空间 X_∞上诱导映射 f_∞的逐点伪轨跟踪性。
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。
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