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arXiv · 1805.02873

The analytic integrability problem for perturbations of homogeneous quadratic Lotka-Volterra systems

Antonio Algaba·Cristóbal García·Manuel Reyes
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Abstract

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.

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Antonio Algaba, Cristóbal García, Manuel Reyes. 2018-05-08. The analytic integrability problem for perturbations of homogeneous quadratic Lotka-Volterra systems. https://arxiv.org/abs/1805.02873

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