72 citations · 117 across the 35 of their papers we have counts for
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math.DS2010
Pseudo-Abelian integrals on slow-fast Darboux systems
Marcin Bobienski, Pavao Mardesic, Dmitry Novikov
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 o…
math.DS2010★ 1 cited
On the number of zeros of Melnikov functions
Dmitry Novikov, Sergey Benditkis
We provide an effective uniform upper bond for the number of zeros of the first non-vanishing Melnikov function of a polynomial perturbations of a planar polynomial Hamiltonian vec…