On limit cycles appearing by polynomial perturbation of Darbouxian integrable systems

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We prove an existential finiteness Varchenko-Khovanskii type result for integrals of rational 1-forms over the level curves of Darbouxian integrals.
21 pages, 2 figures, LaTeX

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Classical Analysis and ODEs, Dynamical Systems, 34C07; 44A10

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http://salesiana.dossiersoluciones.com/handle/123456789/127854

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.3217
 http://arxiv.org/abs/0704.3217

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arXiv