[1]王威.一类非紧集的拓扑压的变分原理[J].西华师范大学学报(自然科学版),2018,39(04):413-419.[doi:10.16246/j.issn.1673-5072.2018.04.014]
 WANG Wei.The Variational Principle of Topological Pressure onCertain Non-compact Subset[J].Journal of China West Normal University(Natural Sciences),2018,39(04):413-419.[doi:10.16246/j.issn.1673-5072.2018.04.014]
点击复制

一类非紧集的拓扑压的变分原理

()
分享到:

《西华师范大学学报(自然科学版)》[ISSN:1673-5072/CN:51-1699/N]

卷:
39
期数:
2018年04期
页码:
413-419
栏目:
出版日期:
2018-12-20

文章信息/Info

Title:

The Variational Principle of Topological Pressure onCertain Non-compact Subset

作者:

王威

(南京审计大学  金审学院基础部,南京  210023)

Author(s):

WANG  Wei

(Basic Department of JinShen College,Nanjing Audit University,Nanjing Jiangsu 210023,China)

关键词:

极限次可加连续函数列非紧集合的拓扑压 变分原理  Lyapunov 指数

Keywords:

limit sub-additive family of continuous functiontopological pressure for non-compact setsvariational principleLyapunov exponententropy

分类号:
O189
DOI:
10.16246/j.issn.1673-5072.2018.04.014
文献标志码:
A
摘要:

对动力系统中经典的紧致集合上的遍分原理研究是一个热门方向,现推广至非紧致集合EF(α)={xXF(x)=α}上,并定义了在该集合下的拓扑压。论文主要工作给出该非紧集合上的拓扑压的变分原理并进行论证,在证明过程中利用了一系列的引理来帮助完成定理的证明,其中非紧集中的F={fn}  n=1是指(X,T)上的极限次可加连续函数列。论文在最后给出关于BS-维数的应用和两个其它应用。

Abstract:

Variational principle of the classical compact set in dynamic system is a hot research direction.It is popularized to noncompact subsetEF(α)={xXF(x)=α} and defines topological pressure under the set .The main work of this paper is to give the variational principle of topological pressure on non compact set and demonstrate that a series of lemmas are used in the process of proof.Among which,F={fn}  n=1 is a limit subadditive family of continuous function defined on (X,T).At the end of the paper,the application of BSdimension and two other applications are given.

备注/Memo

备注/Memo:

收稿日期:2018-04-03
作者简介:王威(1978—),男,安徽寿县人, 副教授,主要从事动力系统和遍历理论研究。
通信作者:王威,E-mail:39658255@qq.com

更新日期/Last Update: 2018-12-20