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Pseudo-abelian integrals on slow-fast Darboux systems

Marcin Bobieński; Pavao Mardešić; Dmitry Novikov — 2013

Annales de l’institut Fourier

We study pseudo-abelian integrals associated with polynomial deformations of slow-fast Darboux integrable systems. Under some assumptions we prove local boundedness of the number of their zeros.

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