Bounding the number of zeros of certain Abelian integrals

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Title:	Bounding the number of zeros of certain Abelian integrals
Author:	Mañosas Capellades, Francesc; Villadelprat Yagüe, Jordi
Abstract:	In this paper we prove a criterion that provides an easy sufficient condition in order for any nontrivial linear combination of n Abelian integrals to have at most n + k − 1 zeros counted with multiplicities. This condition involves the functions in the integrand of the Abelian integrals and it can be checked, in many cases, in a purely algebraic way.
Subject(s):	-Abelian integral -Chebyshev system -Wronskian -Hamiltonian perturbation -Limit cycle
Rights:	open access Tots els drets reservats. https://rightsstatements.org/vocab/InC/1.0/
Document type:	Article
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Uri:	https://ddd.uab.cat/record/150430