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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)

Summary

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.

Keywords

Normal Form Close System Dimensional System General Polynomial Fundamental Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. (1).
    L. Brenig, Phys. Lett. A133, 378 (1988).CrossRefMathSciNetGoogle Scholar
  2. (2).
    L. Brenig and A. Goriely, Phys. Rev. A4, 4119 (1989).Google Scholar
  3. (3).
    A. Goriely and L. Brenig, Phys. Lett. A145 245 (1990).CrossRefMathSciNetGoogle Scholar
  4. (4).
    V. I. Arnold, “Geometrical Methods in Theory of ODE’s” 2nd ed. Springer-Verlag (Berlin, 1988 ).Google Scholar

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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