@article{10272/25428,
year = {2018},
month = {8},
url = {https://hdl.handle.net/10272/25428},
abstract = {We solve, by using normal forms, the analytic integrability problem for differential
systems in the plane whose first homogeneous component is a cubic Kolmogorov
system being the origin an isolated singularity. As an application, we give the analytically
integrable systems of a class of systems x' = x(P2 + P3); y' = y(Q2 +Q3); being
Pi;Qi homogeneous polynomials of degree i. We also prove that for any n>=3, there
are analytically integrable perturbations of x' = xPn; y' = yQn which are not orbital
equivalent to its first homogeneous component.},
organization = {The authors are partially supported by a MINECO/FEDER
grant number MTM2014-56272-C2-2 and by the Consejería de Educación y Ciencia
de la Junta de Andalucía (projects P12-FQM-1658, FQM-276).},
publisher = {Elsevier},
title = {Analytical integrability problem for perturbations of cubic Kolmogorov systems},
doi = {10.1016/j.chaos.2018.05.011},
author = {Algaba Durán, Antonio and García García, Cristóbal, Matemático and Reyes Columé, Manuel},
}