Articles producció científica> Enginyeria Informàtica i Matemàtiques

Study of the period function of a two-parameter family of centers

  • Identification data

    Identifier: PC:2721
    Authors:
    Villadelprat, J.Mañosas, F.Rojas, D.
    Abstract:
    Filiació URV: SI
  • Others:

    Author, as appears in the article.: Villadelprat, J.; Mañosas, F.; Rojas, D.
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: VILLADELPRAT YAGÜE, JORDI; Mañosas, F.; Rojas, D.
    Keywords: bifurcation center Critical periodic orbit
    Abstract: 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.
    Research group: Discrete and Continuous Dynamical Systems (DCDYNSYS)
    Thematic Areas: Matemàtiques Matemáticas Mathematics
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    ISSN: 0022-247X
    Author identifier: ; 0000-0003-2535-0501; n/a
    Record's date: 2017-04-21
    Last page: 208
    Journal volume: 452
    Papper version: info:eu-repo/semantics/acceptedVersion
    Link to the original source: http://www.sciencedirect.com/science/article/pii/S0022247X17302147
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Article's DOI: 10.1016/j.jmaa.2017.02.054
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2017
    First page: 188
    Publication Type: Article Artículo Article
  • Keywords:

    Bifurcació, Teoria de la
    Funcions
    Anàlisi matemàtica
    bifurcation
    center
    Critical periodic orbit
    Matemàtiques
    Matemáticas
    Mathematics
    0022-247X
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