Normal Forms of Two p: − q Resonant Polynomial Vector Fields

  • Victor Edneral
  • Valery G. Romanovski
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6885)


We investigate a property of normal forms of p: − q resonant vector fields, which is related to isochronicity. The problem is reduced to studying polynomial ideals and their varieties which is performed using tools of computational algebra.


planar differential equations isochronicity linearizability normal forms polynomial ideals computational algebra 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Victor Edneral
    • 1
  • Valery G. Romanovski
    • 2
    • 3
  1. 1.Skobeltsyn Institute of Nuclear Physics of Lomonosov Moscow State UniversityMoscowRussia
  2. 2.CAMTP - Center for Applied Mathematics and Theoretical PhysicsUniversity of MariborMariborSlovenia
  3. 3.Faculty of Natural Science and MathematicsUniversity of MariborMariborSlovenia

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