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Article Dans Une Revue Journal of Dynamical and Control Systems Année : 2020

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.

Dates et versions

hal-02524700 , version 1 (30-03-2020)

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Aymen Braghtha. Darboux Integrable System with a Triple Point and Pseudo-Abelian Integrals. Journal of Dynamical and Control Systems, 2020, 26, pp.761-774. ⟨10.1007/s10883-020-09477-3⟩. ⟨hal-02524700⟩
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