STABLE TRANSITIVITY FOR EXTENSIONS OF HYPERBOLIC SYSTEMS BY SEMIDIRECT PRODUCTS OF COMPACT AND NILPOTENT LIE GROUPS

被引：3
|
作者：
Nitica, Viorel [1 ,2 ]
机构：
[1] W Chester Univ, Dept Math, W Chester, PA 19383 USA
[2] Inst Math, Bucharest, Romania
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 29卷 / 03期
关键词：
Topological transitivity; Hyperbolic set; Extension; Semidirect product; Nilpotent Lie group; NONCOMPACT EXTENSIONS; DIFFEOMORPHISMS; SUBGROUPS; UNION;
D O I：
10.3934/dcds.2011.29.1197
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Assume that X is a hyperbolic basic set for f : X -> X. We show new examples of Lie group fibers G for which, in the class of C(r), r > 0; G-extensions of f, those that are transitive are open and dense. The fibers are semidirect products of compact and nilpotent groups.
引用
收藏
页码：1197 / 1204
页数：8
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