On ergodicity of systems with the asymptotic average shadowing property
On ergodicity of systems with the asymptotic average shadowing property
复制标题
DOI：
10.1016/j.camwa.2007.06.016
复制
发表时间：
2008-03
期刊：
影响因子：
--
通讯作者：
Rongbao Gu
中科院分区：
文献类型：
--
作者：
Rongbao Gu
本文证明了从紧度量空间到自身的每一个李雅普诺夫稳定映射都是拓扑遍历的，只要它具有渐近平均跟踪性质。
In this note, we prove that every Lyapunov stable map from a compact metric space onto itself is topologically ergodic, provided it has the asymptotic average shadowing property.