Autor segons l'article: Mañosas F; Rojas D; Villadelprat J
Departament: Enginyeria Informàtica i Matemàtiques
Autor/s de la URV: Villadelprat Yagüe, Jordi
Paraules clau: Period function Criticality Critical periodic orbit Center Bifurcation
Resum: 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.
Àrees temàtiques: Mathematics, applied Mathematics Matemática / probabilidade e estatística Interdisciplinar Engenharias iv Engenharias iii Ciências ambientais Ciência da computação Astronomia / física Applied mathematics Analysis
Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
Adreça de correu electrònic de l'autor: jordi.villadelprat@urv.cat
Identificador de l'autor: 0000-0002-1168-9750
Data d'alta del registre: 2023-02-19
Versió de l'article dipositat: info:eu-repo/semantics/acceptedVersion
Enllaç font original: https://www.sciencedirect.com/science/article/pii/S0022247X17302147
Referència a l'article segons font original: Journal Of Mathematical Analysis And Applications. 452 (1): 188-208
Referència 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 Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
DOI de l'article: 10.1016/j.jmaa.2017.02.054
Entitat: Universitat Rovira i Virgili
Any de publicació de la revista: 2017
Tipus de publicació: Journal Publications
Repositori URV