• Title of article

    Billiard map and rigid rotation

  • Author/Authors

    Treschev، نويسنده , , D.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2013
  • Pages
    4
  • From page
    31
  • To page
    34
  • Abstract
    Can a billiard map be locally conjugated to a rigid rotation? We prove that the answer to this question is positive in the category of formal series. We also present numerical evidence that for “good” rotation angles the answer is also positive in an analytic category.
  • Keywords
    Integrable Hamiltonian systems , Normal form convergence , Billiard systems , Small divisors , Elliptic fixed point , Analytic conjugacy
  • Journal title
    Physica D Nonlinear Phenomena
  • Serial Year
    2013
  • Journal title
    Physica D Nonlinear Phenomena
  • Record number

    1730411