%0 Journal Article
%T R<sup>n</sup>上返回排斥子的Lipschitz结构稳定性<br>The Lipschitz Perturbations of Snapback Re-pellers in R<sup>n</sup>
%A 陈员龙
%A 吴小英
%J Advances in Applied Mathematics
%P 8426-8430
%@ 2324-8009
%D 2022
%I Hans Publishing
%R 10.12677/AAM.2022.1112891
%X 本文研究欧氏空间上返回排斥子的Lipschitz扰动。设f，g是欧氏空间R<sup>n</sup>上的连续自映射，如果f具有返回排斥子且g是f的Lipschitz小扰动，则g也有返回排斥子。因此欧氏空间Rn上的返回排斥子是Lipschitz结构稳定的。<br />
This note is concerned with the effect of small Lipschitz perturbations of a discrete dynamical sys-tem in Rn. Let f, g be continuous map from Rn into itself. If f has snap-back repellers and g is a small Lipschitz perturbations of f, then g has snap-back repellers. In addition, the snap-back repellers are Lipschitz structural stability in R<sup>n</sup>.
%K 混沌动力系统，Lipschitz扰动，返回排斥子，结构稳定性<br>Chaotic Dynamical System
%K Lipschitz Perturbations
%K Snapback Repellers
%K Structural Stability
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=58711