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

Evgenii P. Volokitin

• 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.