The Multidimensional Lorenz Attractor is a Homoclinic Class

• S. Bautista ^[1] ; J. D. Rojas
  1. [1] Universidad Nacional de Colombia

     Universidad Nacional de Colombia

     Colombia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 14, Nº 1, 2015, págs. 1-9
• Idioma: inglés
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• Resumen

  • The multidimensional Lorenz attractors (Bonatti et al. in C R Acad Sci 325(8):883–888,1997) were the first examples of robust attractors for vector fields exhibiting a singularity with more than one expanding eigenvalue. In this paper we show that such attractors are homoclinic classes.