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arXiv math/0403284math.DS
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Higher order Poincare-Pontryagin functions and iterated path integrals

Lubomir Gavrilov

英文摘要:

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

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