Bounding the number of zeros of certain Abelian integrals
Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Villadelprat Yagüe, Jordi (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)

Date:	2011
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.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 Ministerio de Educación y Ciencia MTM2008-01486
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Abelian integral ; Chebyshev system ; Wronskian ; Hamiltonian perturbation ; Limit cycle
Published in:	Journal of differential equations, Vol. 251 (2011) , p. 1656-1669, ISSN 1090-2732

DOI: 10.1016/j.jde.2011.05.026

Postprint 13 p, 408.9 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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