Asymptotic average shadowing property on nonuniformly expanding maps

作者：Bahabadi Alireza Zamani^*

来源：The New York Journal of Mathematics, 2014, 20: 431-439.

• Asymptotic average shadowing property
• delta-average-pseudo-orbit
• transitivity
• nonuniformly expanding

In this paper, we investigate the relationships between asymptotic average shadowing property for nonuniformly expanding maps with some notions in dynamical systems. We prove that if nonuniformly expanding (NUE) map f has asymptotic average shadowing property (AASP), then f is transitive and weakly mixing. Finally as a remark we show that if the C-2 diffeomorphism f is NUE and AASP then it has a unique SRB measure.

• 出版日期2014