The analytic integrability problem for perturbations of homogeneous quadratic Lotka-Volterra systems
Dynamical Systems
2018-05-09 v1
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 ; ; being Pi,Qi homogeneous polynomials of degree i.
Keywords
Cite
@article{arxiv.1805.02873,
title = {The analytic integrability problem for perturbations of homogeneous quadratic Lotka-Volterra systems},
author = {Antonio Algaba and Cristóbal García and Manuel Reyes},
journal= {arXiv preprint arXiv:1805.02873},
year = {2018}
}