• Title of article

    WHAT IS A COMPLETELY INTEGRABLE NONHOLONOMIC DYNAMICAL SYSTEM

  • Author/Authors

    Bates، Larry نويسنده , , CUSHMAN، RICHARD نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1999
  • Pages
    -28
  • From page
    29
  • To page
    0
  • Abstract
    We compare the geometry of a toral fibration defined by the common level sets of the integrals of a Liouville integrable Hamiltonian system with a toral fibration coming from a completely integrable nonholonomic system. We illustrate their differences using the following examples: the nonholonomic oscillator, Chaplyginʹs skate, Routhʹs sphere and the rolling oblate ellipsoid of revolution.
  • Keywords
    loop , Groupoid , relativistic velocity
  • Journal title
    Repotrts on Mathematical Physics
  • Serial Year
    1999
  • Journal title
    Repotrts on Mathematical Physics
  • Record number

    31562