Per citar aquest document: http://ddd.uab.cat/record/150602
Scopus: 4 cites, Web of Science: 3 cites,
The period function of generalized Loud's centers
Marín, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Villadelprat, Jordi (Universitat Rovira i Virgili. Departament d’Enginyeria Informàtica i Matemàtiques)

Data: 2013
Resum: In this paper a three parameter family of planar differential systems with homogeneous nonlinearities of arbitrary odd degree is studied. This family is an extension to higher degree of the Loud’s systems. The origin is a nondegenerate center for all values of the parameter and we are interested in the qualitative properties of its period function. We study the bifurcation diagram of this function focusing our attention on the bifurcations occurring at the polycycle that bounds the period annulus of the center. Moreover we determine some regions in the parameter space for which the corresponding period function is monotonous or it has at least one critical period, giving also its character (maximum or minimum). Finally we propose a complete conjectural bifurcation diagram of the period function of these generalized Loud’s centers.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; recerca ; preprint
Matèria: Period function ; Desingularization ; Critical period ; Bifurcation
Publicat a: Journal of Differential Equations, Vol. 255 (2013) , p. 3071-3097, ISSN 0022-0396

DOI: 10.1016/j.jde.2013.07.025


26 p, 700.8 KB

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Documents de recerca > Documents dels grups de recerca de la UAB > Centres i grups de recerca (producció científica) > Ciències > GSD (Grup de sistemes dinàmics)
Articles > Articles de recerca
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 Registre creat el 2016-05-06, darrera modificació el 2017-02-16



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