Algebraic First Integrals of the Polynomial Systems Satisfying the Cauchy–Riemann Conditions

• Evgenii P. Volokitin ^[1]
  1. [1] Novosibirsk State University

     Novosibirsk State University

     Rusia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 15, Nº 2, 2016, págs. 575-596
• Idioma: inglés
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• Resumen

  • We consider polynomial planar systems of ordinary differential equations that can be written in the form z˙ = P(z), z ∈ C. We describe the classes of such systems that have rational first integrals and study some properties of these integrals.