Abelian integrals in unfoldings of codimension 3 singularities with nilpotent linear parts
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.12.042
Abstract: Abstract This paper is concerned with the upper bound of the number of limit cycles in unfolding of codimension 3 planar singularities with nilpotent linear parts. After making a central rescaling, the problem reduces to… read more here.
Keywords: nilpotent linear; codimension; linear parts; abelian integrals ... See more keywords
Upper bounds for the associated number of zeros of Abelian integrals for two classes of quadratic reversible centers of genus one
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Analysis and Computation"
DOI: 10.11948/2018.1959
Abstract: In this paper, by using the method of Picard-Fuchs equation and Riccati equation, we study the upper bounds for the associated number of zeros of Abelian integrals for two classes of quadratic reversible centers of… read more here.
Keywords: zeros abelian; abelian integrals; upper bounds; associated number ... See more keywords