Bifurcation of the essential dynamics of Lorenz maps on the real line and the bifurcation scenario for Lorenz like flows: the contracting case

Authors

  • Rafael Labarca Universidad de Santiago.
  • Carlos Moreira I. M. P. A.

DOI:

https://doi.org/10.4067/S0716-09172010000300007

Keywords:

Lorenz maps, combinatorial bifurcation diagramme, lexicographical world, geometric Lorenz-like flows, mapas de Lorenz, diagrama de bifurcación combinatoria, mundo lexicográfico, flujos de geometría Lorenziana.

Abstract

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 Biography

Rafael Labarca, Universidad de Santiago.

Departamento de Matemáticas y Cs. de la Computación Facultad de Ciencias.

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Published

2011-01-07

How to Cite

[1]
R. Labarca and C. Moreira, “Bifurcation of the essential dynamics of Lorenz maps on the real line and the bifurcation scenario for Lorenz like flows: the contracting case”, Proyecciones (Antofagasta, On line), vol. 29, no. 3, pp. 247-293, Jan. 2011.

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Artículos