BIFURCATION OF THE ESSENTIAL DYNAMICS OF LORENZ MAPS ON THE REAL LINE AND THE BIFURCATION SCENARIO FOR LORENZ LIKE FLOWS: THE CONTRACTING CASE

BIFURCATION OF THE ESSENTIAL DYNAMICS OF LORENZ MAPS ON THE REAL LINE AND THE BIFURCATION SCENARIO FOR LORENZ LIKE FLOWS: THE CONTRACTING CASE

In this article we provide, by using kneading sequences, the combinatorial bifurcation diagram associated to a typical two parameter family of contracting Lorenz maps on the real line. We apply these results to two parameter families of geometric Lorenz-like flows.

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Autores principales: Labarca,Rafael, Moreira,Carlos
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2010
Materias:
Lorenz maps
combinatorial bifurcation diagramme
lexicographical world
geometric Lorenz-like flows
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300007
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spelling oai:scielo:S0716-091720100003000072010-12-29BIFURCATION OF THE ESSENTIAL DYNAMICS OF LORENZ MAPS ON THE REAL LINE AND THE BIFURCATION SCENARIO FOR LORENZ LIKE FLOWS: THE CONTRACTING CASELabarca,RafaelMoreira,Carlos Lorenz maps combinatorial bifurcation diagramme lexicographical world geometric Lorenz-like flows In this article we provide, by using kneading sequences, the combinatorial bifurcation diagram associated to a typical two parameter family of contracting Lorenz maps on the real line. We apply these results to two parameter families of geometric Lorenz-like flows.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.29 n.3 20102010-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300007en10.4067/S0716-09172010000300007
institution Scielo Chile
collection Scielo Chile
language English
topic Lorenz maps
combinatorial bifurcation diagramme
lexicographical world
geometric Lorenz-like flows
spellingShingle Lorenz maps
combinatorial bifurcation diagramme
lexicographical world
geometric Lorenz-like flows
Labarca,Rafael
Moreira,Carlos
BIFURCATION OF THE ESSENTIAL DYNAMICS OF LORENZ MAPS ON THE REAL LINE AND THE BIFURCATION SCENARIO FOR LORENZ LIKE FLOWS: THE CONTRACTING CASE
description In this article we provide, by using kneading sequences, the combinatorial bifurcation diagram associated to a typical two parameter family of contracting Lorenz maps on the real line. We apply these results to two parameter families of geometric Lorenz-like flows.
author Labarca,Rafael
Moreira,Carlos
author_facet Labarca,Rafael
Moreira,Carlos
author_sort Labarca,Rafael
title BIFURCATION OF THE ESSENTIAL DYNAMICS OF LORENZ MAPS ON THE REAL LINE AND THE BIFURCATION SCENARIO FOR LORENZ LIKE FLOWS: THE CONTRACTING CASE
title_short BIFURCATION OF THE ESSENTIAL DYNAMICS OF LORENZ MAPS ON THE REAL LINE AND THE BIFURCATION SCENARIO FOR LORENZ LIKE FLOWS: THE CONTRACTING CASE
title_full BIFURCATION OF THE ESSENTIAL DYNAMICS OF LORENZ MAPS ON THE REAL LINE AND THE BIFURCATION SCENARIO FOR LORENZ LIKE FLOWS: THE CONTRACTING CASE
title_fullStr BIFURCATION OF THE ESSENTIAL DYNAMICS OF LORENZ MAPS ON THE REAL LINE AND THE BIFURCATION SCENARIO FOR LORENZ LIKE FLOWS: THE CONTRACTING CASE
title_full_unstemmed BIFURCATION OF THE ESSENTIAL DYNAMICS OF LORENZ MAPS ON THE REAL LINE AND THE BIFURCATION SCENARIO FOR LORENZ LIKE FLOWS: THE CONTRACTING CASE
title_sort bifurcation of the essential dynamics of lorenz maps on the real line and the bifurcation scenario for lorenz like flows: the contracting case
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2010
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300007
work_keys_str_mv AT labarcarafael bifurcationoftheessentialdynamicsoflorenzmapsonthereallineandthebifurcationscenarioforlorenzlikeflowsthecontractingcase
AT moreiracarlos bifurcationoftheessentialdynamicsoflorenzmapsonthereallineandthebifurcationscenarioforlorenzlikeflowsthecontractingcase
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