Periodic points and homoclinic classes

被引：66
作者：
Abdenur, F.
Bonatti, Ch.
Crovisier, S.
Diaz, L. J.
Wen, L.
机构：
[1] Pontificia Univ Catolica Rio de Janeiro, Dept Matemat, BR-24453900 Rio de Janeiro, Brazil
[2] Inst Math Bourgogne, F-21078 Dijon, France
[3] Univ Paris 13, CNRS, LAGA, UMR 7539, F-93430 Villetaneuse, France
[4] Peking Univ, Sch Math, Beijing 100871, Peoples R China
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2007年 / 27卷
关键词：
D O I：
10.1017/S0143385706000538
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that there is a residual subset I of Diff(1) (M) such that any homoclinic class of a diffeomorphism f is an element of I having saddles of indices alpha and beta contains a dense subset of saddles of index tau for every tau is an element of [alpha, beta] boolean AND N. We also derive some consequences from this result about the Lyapunov exponents of periodic points and the sort of bifurcations inside homoclinic classes of C-1-generic diffeomorphisms.
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页码：1 / 22
页数：22
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