Pseudo-Abelian integrals on slow-fast Darboux systems

2010/07/12 by Bobienski, Marcin, Mardesic, Pavao, Novikov, Dmitry
#34C07 #34C08 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1007.2001

Abstract

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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