在作用于一致空间的动力系统(X,f)中研究了伪轨跟踪的若干性质,得到如下结果:(1)f的任意一条链都能被一条真实的轨道跟踪.(2)如果存在正整数k∈N,使得f^k有伪轨跟踪性质,则f也有伪轨跟踪性质.(3)如果f是有d-跟踪性质,则对任意的k∈N,f^k有d-跟踪性质.(4)如果(X,f)是拓扑共轭于(Y,g),则f有伪轨跟踪性质当且仅当g有伪轨跟踪性质.
This paper introduces a lot of pseudo- orbit shadowing properties in topologic dynamical system in uniform space. And then some main results are given:( 1) Suppose that X is a uniform space,and f ∶ X → X is a uniformly continuous and surjective map,then the chain with any length is traced by a true orbit.( 2) Let f be uniformly continuous.If f^k has the pseudo- orbit- tracing property,then so does f.( 3) If f has d- shadowing property then so does fk for any k≥1.( 4) Let f ∶X → X and g∶Y → Y be uniformly continuous. If( X,f) is topologically conjugate( Y,g) then f has d-shadowing property if and only if g does.