Asymptotic Development of an Integral Operator and Boundedness of the Criticality of Potential Centers
Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)

Date:	2019
Abstract:	We study the asymptotic development at infinity of an integral operator. We use this development to give sufficient conditions to upper bound the number of critical periodic orbits that bifurcate from the outer boundary of the period function of planar potential centers. We apply the main results to two different families: the power-like potential family x¨ = x - x , p, q∈ R, p> q; and the family of dehomogenized Loud's centers.
Grants:	Ministerio de Economía y Competitividad MTM2017-82348-C2-1-P Ministerio de Economía y Competitividad MTM2017-86795-C3-1-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Center ; Period function ; Critical periodic orbit ; Bifurcation ; Criticality
Published in:	Journal of dynamics and differential equations, Vol. 32, Issue 2 (June 2020) , p. 665-704, ISSN 1572-9222

DOI: 10.1007/s10884-019-09753-2

Postprint 34 p, 632.0 KB

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