descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1994 English Publisher:AIP PublishingJournal:Chaos: An Interdisciplinary Journal of Nonlinear Science, volume 4, pages 407-419 (issn: 1054-1500, eissn: 1089-7682,

Authors: Alsedà i Soler, Lluís; Gambaudo, Jean-Marc; Mumbrú i Rodriguez, Pere;

doi: 10.1063/1.166019

pmid: 12780116

handle: 2445/21863

Stable heteroclinic cycles and symbolic dynamics

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Abstract

Let S10, S11,...,S1n−1 be n circles. A rotation in n circles is a map f:∪i=0n−1S1i→∪ i=0n−1S1i which maps each circle onto another by a rotation. This particular type of interval exchange map arises naturally in bifurcation theory. In this paper we give a full description of the symbolic dynamics associated to such maps.

Related Organizations

Nice Sophia Antipolis University
France
University of Barcelona
Spain
Université Côte d'Azur
France
Autonomous University of Barcelona
Spain

Keywords

Rotation numbers and vectors, Termodinàmica, Symbolic dynamics, Thermodynamics, Differentiable dynamical systems, Dynamical systems involving maps of the circle, Statistical physics, Sistemes dinàmics diferenciables, Física estadística

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