Hyperbolicity in a class of one-dimensional maps.
Davis, Gregory J.
Publicacions Matemàtiques, Tome 34 (1990), p. 93-105 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1990-01-01
DMLE-ID : 3669 
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     title = {Hyperbolicity in a class of one-dimensional maps.},
     journal = {Publicacions Matem\`atiques},
     volume = {34},
     year = {1990},
     pages = {93-105},
     zbl = {0712.58045},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41116}
}

Davis, Gregory J. Hyperbolicity in a class of one-dimensional maps.. Publicacions Matemàtiques, Tome 34 (1990) pp. 93-105. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41116/