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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Bibliographic Details
Main Authors: Labarca,Rafael, Moreira,Carlos
Format: Digital revista
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2010
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300007
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