Autor según el artículo: Mañosas F; Rojas D; Villadelprat J
Departamento: Enginyeria Informàtica i Matemàtiques
Autor/es de la URV: Villadelprat Yagüe, Jordi
Palabras clave: Period function Criticality Critical periodic orbit Center Bifurcation
Resumen: In this paper we study the period function of x¨=(1+x)p?(1+x)q, with p,q?R and p>q. We prove three independent results. The first one establishes some regions in the parameter space where the corresponding center has a monotonous period function. This result extends the previous ones by Miyamoto and Yagasaki for the case q=1. The second one deals with the bifurcation of critical periodic orbits from the center. The third one is addressed to the critical periodic orbits that bifurcate from the period annulus of each one of the three isochronous centers in the family when perturbed by means of a one-parameter deformation. These three results, together with the ones that we obtained previously on the issue, lead us to propose a conjectural bifurcation diagram for the global behaviour of the period function of the family. © 2017 Elsevier Inc.
Áreas temáticas: Mathematics, applied Mathematics Matemática / probabilidade e estatística Interdisciplinar Engenharias iv Engenharias iii Ciências ambientais Ciência da computação Astronomia / física Applied mathematics Analysis
Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
Direcció de correo del autor: jordi.villadelprat@urv.cat
Identificador del autor: 0000-0002-1168-9750
Fecha de alta del registro: 2023-02-19
Versión del articulo depositado: info:eu-repo/semantics/acceptedVersion
Enlace a la fuente original: https://www.sciencedirect.com/science/article/pii/S0022247X17302147
Referencia al articulo segun fuente origial: Journal Of Mathematical Analysis And Applications. 452 (1): 188-208
Referencia de l'ítem segons les normes APA: Mañosas F; Rojas D; Villadelprat J (2017). Study of the period function of a two-parameter family of centers. Journal Of Mathematical Analysis And Applications, 452(1), 188-208. DOI: 10.1016/j.jmaa.2017.02.054
URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
DOI del artículo: 10.1016/j.jmaa.2017.02.054
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2017
Tipo de publicación: Journal Publications