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

• Labarca, Rafael ^[1] ; Moreira, Carlos ^[2]
  1. [1] Universidad de Santiago.
  2. [2] I. M. P. A.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 29, Nº. 3, 2010, págs. 247-293
• Idioma: inglés
• DOI: 10.4067/S0716-09172010000300007
• Enlaces
  • Texto completo
• Resumen

  • 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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