C¹-maps having hyperbolic periodic points
N. Aoki; Kazumine Moriyasu; N. Sumi
Fundamenta Mathematicae (2001)
- Volume: 169, Issue: 1, page 1-49
- ISSN: 0016-2736
Access Full Article
top
Abstract
topHow to cite
topN. Aoki, Kazumine Moriyasu, and N. Sumi. "C¹-maps having hyperbolic periodic points." Fundamenta Mathematicae 169.1 (2001): 1-49. <http://eudml.org/doc/281706>.
@article{N2001,
abstract = {
We show that the C¹-interior of the set of maps satisfying the following conditions:
(i) periodic points are hyperbolic,
(ii) singular points belonging to the nonwandering set are sinks,
coincides with the set of Axiom A maps having the no cycle property.
},
author = {N. Aoki, Kazumine Moriyasu, N. Sumi},
journal = {Fundamenta Mathematicae},
keywords = {-map; hyperbolic periodic point; Axiom A-map; no cycle property; structural stability},
language = {eng},
number = {1},
pages = {1-49},
title = {C¹-maps having hyperbolic periodic points},
url = {http://eudml.org/doc/281706},
volume = {169},
year = {2001},
}
TY - JOUR
AU - N. Aoki
AU - Kazumine Moriyasu
AU - N. Sumi
TI - C¹-maps having hyperbolic periodic points
JO - Fundamenta Mathematicae
PY - 2001
VL - 169
IS - 1
SP - 1
EP - 49
AB -
We show that the C¹-interior of the set of maps satisfying the following conditions:
(i) periodic points are hyperbolic,
(ii) singular points belonging to the nonwandering set are sinks,
coincides with the set of Axiom A maps having the no cycle property.
LA - eng
KW - -map; hyperbolic periodic point; Axiom A-map; no cycle property; structural stability
UR - http://eudml.org/doc/281706
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.