Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor*

Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor*

The example is constructed of the C1-smooth skew product of interval maps possessing the one-dimensional ramified continuum (containing no arcs homeomorphic to the circle) with an infinite set of ramification points as the global attractor. <br> L’exemple est construit à partir d’un produ...

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Bibliographic Details
Main Author: Efremova L.S.
Format: Article
Language:English
Published: EDP Sciences 2012-08-01
Series:ESAIM: Proceedings and Surveys
Subjects:
skew product
attractor
ramified continuum
Produit biaisé
attracteur
continuum ramifié
Online Access:http://dx.doi.org/10.1051/proc/201236002
Description
Summary:The example is constructed of the C1-smooth skew product of interval maps possessing the one-dimensional ramified continuum (containing no arcs homeomorphic to the circle) with an infinite set of ramification points as the global attractor. <br> L’exemple est construit à partir d’un produit biaisé lisse de classe C1 de transformations d’un intervalle, qui a un continuum unidimensionnel ramifié (ne contenant pas d’arcs homéomorphes à un cercle) avec un ensemble infini de points de branchement comme attracteur global.
ISSN:1270-900X

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