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On Araujo’s Theorem for Flows

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Abstract

We prove that every C 1 generic three-dimensional flow without singularities has either infinitely many sinks or finitely many hyperbolic attractors whose basins form a full Lebesgue measure set.

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Authors and Affiliations

  1. Instituto de Matemática, Universidade Federal do Rio de Janeiro, P. O. Box 68530, 21945-970, Rio de Janeiro, Brazil

    A. Arbieto, C. A. Morales & B. Santiago

Authors
  1. A. Arbieto
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  2. C. A. Morales
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  3. B. Santiago
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Corresponding author

Correspondence to A. Arbieto.

Additional information

Partially supported by CNPq, FAPERJ and PRONEX/DYN-SYS. from Brazil.

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Arbieto, A., Morales, C.A. & Santiago, B. On Araujo’s Theorem for Flows. J Dyn Control Syst 22, 55–69 (2016). https://doi.org/10.1007/s10883-014-9250-7

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  • DOI: https://doi.org/10.1007/s10883-014-9250-7

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