Communications in Mathematical Physics

, Volume 68, Issue 2, pp 129–140 | Cite as

On the Hénon transformation

  • James H. Curry


In [4] Hénon studied a transformation which maps the plane into itself and appears to have an attractor with locally the structure of a Cantor set cross an interval. By making use of the characteristic exponent, frequency spectrum, and a theorem of Smale, our numerical experiments provide evidence for the existence of two distinct strange attractors for some parameter values, an exponential rate of mixing for the parameter values studied by Hénon, and an argument that there is a Cantor set in the trapping region of Hénon.


Neural Network Statistical Physic Complex System Numerical Experiment Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • James H. Curry
    • 1
    • 2
  1. 1.Advanced Study ProgramNational Center for Atmospheric ResearchBoulder
  2. 2.Department of MeteorologyMassachusetts Institute of TechnologyCambridgeUSA

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