Higher order Poincare-Pontryagin functions and iterated path integrals

Details Higher order Poincare-Pontryagin functions and iterated path integrals Higher order Poincare-Pontryagin functions and iterated path integrals

2004-03-17

arxiv.org/abs/math/0403284v2

Annales de la Facult\'e des Sciences de Toulouse, vol.14 (2005), no. 4, 677-696.

Mathematics

Dynamical Systems

This is a revised version containing the following changes: reference [18] is added, some notations are changed, the proof of

Scientific paper

We prove that the higher order Poincare-Pontryagin functions associated to
the perturbed polynomial foliation $df -\epsilon (P dx + Q dy) =0$ satisfy a
differential equation of Fuchs type.

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