On the Darboux Integrability of Polynomial Differential Systems

• Jaume Llibre ; Xiang Zhang ^[1]
  1. [1] Shanghai Jiaotong University (China)
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 11, Nº 1, 2012 (Ejemplar dedicado a: Algebraic and Analytic Techniques for Polynomial Vector Fields), págs. 129-144
• Idioma: inglés
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• Resumen

  • This is a survey on recent results on the Darboux integrability of polynomial vector fields in Rn or Cn with n ≥ 2. We also provide an open question and some applications based on the existence of such first integrals.