Hyperbolicity in a class of one-dimensional maps.
Publicacions Matemàtiques (1990)
- Volume: 34, Issue: 1, page 93-105
- ISSN: 0214-1493
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topDavis, Gregory J.. "Hyperbolicity in a class of one-dimensional maps.." Publicacions Matemàtiques 34.1 (1990): 93-105. <http://eudml.org/doc/41116>.
@article{Davis1990,
abstract = {In this paper we provide a direct proof of hyperbolicity for a class of one-dimensional maps on the unit interval. The maps studied are degenerate forms of the standard quadratic map on the interval. These maps are important in understanding the Newhouse theory of infinitely many sinks due to homoclinic tangencies in two dimensions.},
author = {Davis, Gregory J.},
journal = {Publicacions Matemàtiques},
keywords = {Ecuación cuadrática; hyperbolic set; one-dimensional map},
language = {eng},
number = {1},
pages = {93-105},
title = {Hyperbolicity in a class of one-dimensional maps.},
url = {http://eudml.org/doc/41116},
volume = {34},
year = {1990},
}
TY - JOUR
AU - Davis, Gregory J.
TI - Hyperbolicity in a class of one-dimensional maps.
JO - Publicacions Matemàtiques
PY - 1990
VL - 34
IS - 1
SP - 93
EP - 105
AB - In this paper we provide a direct proof of hyperbolicity for a class of one-dimensional maps on the unit interval. The maps studied are degenerate forms of the standard quadratic map on the interval. These maps are important in understanding the Newhouse theory of infinitely many sinks due to homoclinic tangencies in two dimensions.
LA - eng
KW - Ecuación cuadrática; hyperbolic set; one-dimensional map
UR - http://eudml.org/doc/41116
ER -
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