On C1-Generic Chaotic Systems in Three-Manifolds

• Mário Bessa ^[1]
  1. [1] Universidade da Beira Interior

     Universidade da Beira Interior

     Covilhã (Conceição), Portugal

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 12, Nº 2, 2013, págs. 323-334
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let M be a closed 3-dimensional Riemannian manifold. We exhibit a C1-residual subset of the set of volume-preserving 3-dimensional flows defined on very general manifolds M such that, any flow in this residual has zero metric entropy, has zero Lyapunov exponents and, nevertheless, isstrongly chaotic in Devaney’s sense.

    Moreover, we also prove a corresponding version for the discrete-time case.