• Title of article

    Nonexistence and partial existence of first integrals for diffeomorphisms

  • Author/Authors

    Xu، نويسنده , , Zhiguo and Shi، نويسنده , , Shaoyun and Liu، نويسنده , , Fang، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2010
  • Pages
    5
  • From page
    399
  • To page
    403
  • Abstract
    In this paper, we first present a necessary condition for diffeomorphisms to have formal first integrals. Moreover, we consider diffeomorphisms which have some nontrivial formal integrals. Under certain conditions, we show that the diffeomorphism does not admit any other formal integral in the sense of functionally independent first integrals.
  • Keywords
    Diffeomorphism , First integrals , Integrability , Partial integrability
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2010
  • Journal title
    Applied Mathematics Letters
  • Record number

    1526714