Thierry Combot

most citedMeromorphically integrable homogeneous potentials with multiple Darboux points

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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.DS2013★ 1 cited

Meromorphically integrable homogeneous potentials with multiple Darboux points

Thierry Combot

We prove that the only meromorphically integrable planar homogeneous potential of degree k <> -2,0,2 having a multiple Darboux point is the potential invariant by rotation. This ca…