The partial captivity condition for U(1) extensions of expanding maps on the circle

被引：8
|
作者：
Nakano, Yushi [1 ]
Tsujii, Masato [2 ]
Wittsten, Jens [3 ]
机构：
[1] Osaka City Univ, Adv Math Inst, Osaka 5588585, Japan
[2] Kyushu Univ, Dept Math, Fukuoka 8128581, Japan
[3] Ritsumeikan Univ, Dept Math Sci, Kusatsu 5258577, Japan
来源：
NONLINEARITY | 2016年 / 29卷 / 07期
关键词：
dynamical system; partially expanding map; partial captivity; transversality;
D O I：
10.1088/0951-7715/29/7/1917
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper concerns the compact group extension f: T-2 -> T-2, f(x, s)=(E(x), s + tau(x) mod 1) of an expanding map E : S-1 -> S-1. The dynamics of f and its stochastic perturbations have previously been studied under the so-called partial captivity condition. Here we prove a supplementary result that shows that partial captivity is a C-r generic condition on tau, once we fix E.
引用
收藏
页码：1917 / 1925
页数：9
相关论文
共 50 条
12345