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cs.SC2017
Symbolic Computations of First Integrals for Polynomial Vector Fields
Guillaume Chèze, Thierry Combot
In this article we show how to generalize to the Darbouxian, Liouvillian and Riccati case the extactic curve introduced by J. Pereira. With this approach, we get new algorithms for…
cs.SC2014★ 3 cited
Computing necessary integrability conditions for planar parametrized homogeneous potentials
Alin Bostan, Thierry Combot, Safey El Din Mohab
Let $V\in\mathbb{Q}(i)(\a_1,\dots,\a_n)(\q_1,\q_2)$ be a rationally parametrized planar homogeneous potential of homogeneity degree . We design an algorithm that co…