Quasi-Monomial Transformations and Decoupling of Systems of ODE’s

  • L. Brenig
  • A. Gorielly
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)


The quasi-monomial representation and transformations of systems of nonlinear ODE’s provide new conditions of integrability or/and decoupling. In particular, n-dimensional Poincaré normal forms can be transformed into (n−1) closed systems.


Normal Form Close System Dimensional System General Polynomial Fundamental Matrice 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • L. Brenig
    • 1
  • A. Gorielly
    • 1
  1. 1.Physique Statistique Plasmas et Optique NlUniversité Libre de BruxellesBruxellesBelgium

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