Thierry Combot

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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 2018 · math.DSShow all

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math.DS2018

A symplectic Kovacic's algorithm in dimension 4

Thierry Combot, Camilo Sanabria

Let $L$ be a $4$ th order differential operator with coefficients in $K (z)$ , with $K$ a computable algebraically closed field. The operator $L$ is called symplecti…

math.DS2018★ 2 cited

Non-integrability of the minimum-time Kepler problem

Michael Orieux, Jean-Baptiste Caillau, Jacques Féjoz +1

We prove that the minimum-time controlled Kepler problem is not Liouville integrable in the class of meromorphic functions, via the Moralès-Ramis theory.