On limit cycles appearing by polynomial perturbation of Darbouxian integrable systems

2007/04/24 by Novikov, Dmitry · 1 citation
#34C07 #44A10 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.0704.3217

Abstract

We prove an existential finiteness Varchenko-Khovanskii type result for integrals of rational 1-forms over the level curves of Darbouxian integrals.

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