Normal Forms of Planar Polynomial Differential Systems

• Turqui, Abderrahmane ^[1] ; Dahira Dali ^[1]
  1. [1] University of Sciences and Technology Houari Boumediene
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 18, Nº 1, 2019, págs. 11-33
• Idioma: inglés
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• Resumen

  • Using the invariant theory, we develop an algorithmic method, which is based on the construction of a matrix of linear transformation, to compute normal forms of planar polynomial differential systems. We illustrate our method in the case where the planar polynomial differential system is cubic.