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Communications in Mathematical Physics

, Volume 64, Issue 1, pp 35–40 | Cite as

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

  • S. Newhouse
  • D. Ruelle
  • F. Takens
Article

Abstract

It is shown that by a smallC2 (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.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • S. Newhouse
    • 1
  • D. Ruelle
    • 2
  • F. Takens
    • 3
  1. 1.University of North CarolinaChapel HillUSA
  2. 2.Institut des Hautes Etudes ScientifiquesBures-sur-YvetteFrance
  3. 3.Mathematisch InstituutUniversiteit GroningenGroningenThe Netherlands

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