Thierry Combot

activity

20112025

most citedA note on algebraic potentials and Morales-Ramis theory

27 citations · 62 across the 20 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

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…

math.DS2017

Necessary and sufficient conditions for meromorphic integrability near a curve

Thierry Combot

Let us consider a vector field $X$ meromorphic on a neighbourhood of an algebraic curve $Γ ˉ \subset P^{n}$ such that $Γ$ is a particular solution of $X$ . The vector field…

math.DS2017★ 5 cited

Rational integrability of trigonometric polynomial potentials on the flat torus

Thierry Combot

We consider a lattice $L \subset R^{n}$ and a trigonometric potential $V$ with frequencies $k \in L$ . We then prove a strong integrability condition on $V$ ,…