On a Problem of V. V. Nemytskii

被引：0

作者：

Kalitine, B. S. ^{[1
]}

机构：

[1] Belarusian State Univ, Minsk 220030, BELARUS

来源：

MATHEMATICAL NOTES | 2023年 / 113卷 / 1-2期

关键词：

dynamical system; invariant set; attraction; elliptic point; COMPACT; NEIGHBORHOODS; SETS;

D O I：

10.1134/S0001434623010236

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study trajectories in a neighborhood of attractors and weak attractors of dynamical systems on a metric space. The properties of elliptic and weakly elliptic points of compact invariant sets are studied. A solution of the generalized problem of V. V. Nemytskii concerning the existence of compact invariant sets of weakly elliptic type for the case of asymptotically compact dynamical systems is given.

引用

页码：200 / 211

页数：12

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