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1)  the asymptotic average shadowing property
渐近平均跟踪性质
1.
In this note,we discuss the average shadowing property and the asymptotic average shadowing property,it is shown that if iX:XX is the identity map where X is a compact metric space with at least two points,then iX does not has the average shadowing property and the asymptotic average shadowing property.
讨论了平均跟踪性质与渐近平均跟踪性质,证明了如果X是至少包含两点的紧致度量空间,iXX→X为恒同映射,则iX没有平均跟踪性质和渐近平均跟踪性质
2)  asymptotic average shadowing property
渐近平均跟踪
1.
We introduce the definition of the asymptotic average shadowing property(AASP).
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。
3)  the average shadowing property
平均跟踪性质
1.
In this note,we discuss the average shadowing property and the asymptotic average shadowing property,it is shown that if iX:XX is the identity map where X is a compact metric space with at least two points,then iX does not has the average shadowing property and the asymptotic average shadowing property.
讨论了平均跟踪性质与渐近平均跟踪性质,证明了如果X是至少包含两点的紧致度量空间,iXX→X为恒同映射,则iX没有平均跟踪性质和渐近平均跟踪性质
4)  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。
5)  asymptotic tracking
渐近跟踪
1.
Design of output asymptotic tracking for a class of descriptor second-order dynamical systems based on output plus derivative feedback is considered.
考虑了基于输出及其微分反馈的广义二阶动力学系统输出渐近跟踪设计。
2.
In order to eliminate chaos in system,and let the output of system run on the anticipant tracks,a asymptotic tracking controller to improve the control effect is designed in this paper.
目的设计Lorenz混沌系统渐近跟踪控制器,消除系统混沌现象,提高控制效果。
6)  average-shadowing property
平均跟踪性
1.
The average-shadowing property was extended to general continuous self-maps and the generalized Lyapunov stability was given.
把平均跟踪性的概念推广到一般连续自映射的情形,并给出了广义Lyapunov稳定性的概念。
2.
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。
补充资料:渐近公式


渐近公式
asymptotic formula

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