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The analytic integrability problem for perturbations of homogeneous quadratic Lotka-Volterra systems by Algaba, Antonio; García, Cristóbal; Reyes, Manuel is a scholarly article available to read on EtoBox.

What is The analytic integrability problem for perturbations of homogeneous quadratic Lotka-Volterra systems about?

We solve the analytic integrability problem for diferential systems in the plane whose origin is an isolated singularity and the first homogeneous component is a quadratic Lotka-Volterra type. As an application, we give the analytically integrable systems of a class of systems $\dot{x}= x(P1+P2)$; $\dot{y}= y(Q1+Q2)$; being Pi,Qi homogeneous polynomials of degree i.

Author

Algaba, Antonio; García, Cristóbal; Reyes, Manuel

Published

2018

Language

EN