Journal of Statistical Physics

, Volume 25, Issue 4, pp 757–769 | Cite as

Stable and unstable manifolds of the Hénon mapping

  • Valter Franceschini
  • Lucio Russo


By using a parametric representation of the stable and unstable manifolds, we prove that for some given values of the parameter (in particular in the case first investigated by Hénon) the Hénon mapping has a transversal homoclinic orbit.

Key words

Hénon mapping strange attractor stable and unstable manifolds homoclinic point 


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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • Valter Franceschini
    • 1
  • Lucio Russo
    • 1
  1. 1.Istituto MatematicoUniversitá di ModenaModenaItaly

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