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单词 Pseudoorbit
释义

pseudo-orbit


Let (X,d) be a metric space, f:XX a function, and let ϵ>0. An ϵ-pseudo-orbit for f is a sequence {xn:n,a<n<b}, where -a<b, such that d(xn+1,f(xn))<ϵ for all a<n<b. A periodic pseudo-orbit is an infinite pseudo-orbit {xn} such that there is some p with xn+p=xn for all n.

Given δ>0, the pseudo-orbit {xn:a<n<b} is said to be δ-shadowed by the orbit of x, if d(xn,fn(x))<δ for all a<n<b.

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更新时间:2025/5/4 16:09:25