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math.DS2024★ 2 cited
Non-formally integrable centers admitting an algebraic inverse integrating factor
A. Algaba, N. Fuentes, C. Garcia +1
Westudy the existence of a class of inverse integrating factor for a family of non formally integrable systems, in general, whose lowest-degree quasi-homogeneous term is a Hamilton…
math.DS2018
The analytic integrability problem for perturbations of homogeneous quadratic Lotka-Volterra systems
Antonio Algaba, Cristóbal García, Manuel Reyes
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-Vo…