# 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

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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 -

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