DARBOUX INTEGRABLE SYSTEM WITH A TRIPLE POINT AND PSEUDO-ABELIAN INTEGRALS - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2016

DARBOUX INTEGRABLE SYSTEM WITH A TRIPLE POINT AND PSEUDO-ABELIAN INTEGRALS

Résumé

We study pseudo-abelian integrals associated with polynomial perturbations of Darboux integrable system with a triple point. Under some assumptions we prove the local boundedness of the number of their zeros. Assuming that this is the only non-genericity, we prove that the number of zeros of the corresponding pseudo-abelian integrals is bounded uniformly for nearby Darboux integrable foliations.
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Dates et versions

hal-01388054 , version 1 (26-10-2016)
hal-01388054 , version 2 (31-10-2016)
hal-01388054 , version 3 (02-02-2018)

Identifiants

  • HAL Id : hal-01388054 , version 2

Citer

Aymen Braghtha. DARBOUX INTEGRABLE SYSTEM WITH A TRIPLE POINT AND PSEUDO-ABELIAN INTEGRALS. 2016. ⟨hal-01388054v2⟩
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