• Title of article

    On homoclinic splitting problems

  • Author/Authors

    Giovanni Gallavotti، نويسنده , , G. and Gentile، نويسنده , , G. and Mastropietro، نويسنده , , V.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2000
  • Pages
    3
  • From page
    202
  • To page
    204
  • Abstract
    Counterexamples to the homoclinic splitting claimed in the paper “Existence of exponentially small separatrix settings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems” by Rudnev and Wiggins [Physica D 114 (1998) 3–80] are given. These counterexamples invalidate the proofs of the main results of that paper.
  • Journal title
    Physica D Nonlinear Phenomena
  • Serial Year
    2000
  • Journal title
    Physica D Nonlinear Phenomena
  • Record number

    1723544