摘要
本文在一些合理的假设下给出了能控不变集不变压的计算公式.该公式表明能控不变集的不变压等于其可允许加权矩阵谱半径的对数.此外,本文引入了三种测度版本的不变压,并得到了Bowen测度不变压的一个逆变分原理.
An explicit formula for invariance pressure of controlled invariant sets is presented under some reasonable assumptions;this formula allows us to compute invariance pressure of a controlled invariant set by the logarithm of the spectral radius of its admissible weighted matrix.Moreover,three types of measure-theoretic invariance pressure are proposed and an inverse variational principle for Bowen measure-theoretic invariance pressure is given.
作者
钟兴富
Xing Fu ZHONG(School of Mathematics and Statistics,Guangdong University of Foreign Studies,Guangzhou 510006,P.R.China)
出处
《数学学报（中文版）》
CSCD
北大核心
2023年第4期663-674,共12页
Acta Mathematica Sinica：Chinese Series
基金
广东省基础与应用基础研究基金区域联合基金(青年基金项目:2019A1515110932)。
关键词
不变压
测度不变压
谱半径
invariance pressure
measure-theoretic invariance pressure
spectral radius
