• Title of article

    On the nonexistence of rational first integrals for nonlinear systems and semiquasihomogeneous systems ✩

  • Author/Authors

    Shaoyun Shi a، نويسنده , , b، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2007
  • Pages
    10
  • From page
    125
  • To page
    134
  • Abstract
    In this paper we first give a necessary condition for general nonlinear systems to have rational first integrals. Then by using the so-called Kowalevsky exponents we present a criterion for nonexistence of rational first integrals for semiquasihomogeneous systems. © 2007 Elsevier Inc. All rights reserved
  • Keywords
    First integrals , Semiquasihomogeneous systems , Kowalevsky matrix
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2007
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    936174