most citedHigher order Poincare-Pontryagin functions and iterated path integrals

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2004

On the algebraic solutions of the sixth Painlevé equation related to second order Picard-Fuchs equations

Bassem Ben Hamed, Lubomir Gavrilov

We describe two algebraic solutions of the sixth Painlevé equation which are related to (isomonodromic) deformations of Picard-Fuchs equations of order two.

math.DS2004★ 2 cited

Higher order Poincare-Pontryagin functions and iterated path integrals

Lubomir Gavrilov

We prove that the higher order Poincare-Pontryagin functions associated to the perturbed polynomial foliation satisfy a differential equation of Fuchs type.

solv-int1998

The complex geometry of Lagrange top

Lubomir Gavrilov, Angel Zhivkov

We prove that the heavy symmetric top (Lagrange, 1788) linearizes on a two-dimensional non-compact algebraic group -- the generalized Jacobian of an elliptic curve with two points…