Hyperbolicity in a class of one-dimensional maps

Autores: Gregory J. Davis
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 34, Nº 1, 1990, págs. 93-105
Idioma: inglés
DOI: 10.5565/publmat_34190_07
Títulos paralelos:
- Hiperbolicidad en una clase de aplicaciones 1-dimensionales
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Resumen
- 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.