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Occurrence of strange AxiomA attractors near quasi periodic flows onT m,m≧3

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Abstract

It is shown that by a smallC 2 (resp.C ∞) perturbation of a quasiperiodic flow on the 3-torus (resp. them-torus,m>3), one can produce strange AxiomA attractors. Ancillary results and physical interpretation are also discussed.

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Authors and Affiliations

  1. University of North Carolina, Chapel Hill, North Carolina, USA

    S. Newhouse

  2. Institut des Hautes Etudes Scientifiques, F-91440, Bures-sur-Yvette, France

    D. Ruelle

  3. Mathematisch Instituut, Universiteit Groningen, Groningen, The Netherlands

    F. Takens

Authors
  1. S. Newhouse
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  2. D. Ruelle
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  3. F. Takens
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Additional information

Communicated by J. L. Lebowitz

The authors visited the IMPA during the preparation of this manuscript

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Newhouse, S., Ruelle, D. & Takens, F. Occurrence of strange AxiomA attractors near quasi periodic flows onT m,m≧3. Commun.Math. Phys. 64, 35–40 (1978). https://doi.org/10.1007/BF01940759

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  • DOI: https://doi.org/10.1007/BF01940759

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