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


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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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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