wandering point

游荡点

Dynamical Systems · Undergraduate · Mathematics Resources editorial compilation (AI-assisted)

Translation evidence: Literature usage

Meaning in context

For a continuous self-map $T$, a point having a neighborhood $U$ such that $T^n(U)\cap U=\varnothing$ for every integer $n\ge1$.

存在一个邻域，其任何正迭代的像都不与原邻域相交的点。

Example

Every point of $T(x)=x+1$ on $\mathbb R$ is wandering: choose an interval of length less than one.

Usage and distinctions

Wandering is the negation of nonwandering; it is not merely failure of one particular orbit to converge.

Recommended reading in this subject · Preparation & skip guidance

Definition sources

1. 陈绥阳、褚蕾蕾 — 动力系统基础及其方法（科学出版社预览）§2.2，定义2.2.4，p.14，游荡邻域的两两不交原像条件 · Checked 2026-10-14

Translation sources

1. 陈绥阳、褚蕾蕾 — 动力系统基础及其方法（科学出版社预览）§2.2，定义2.2.4，p.14：游荡点 · Checked 2026-10-14

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