Articles producció científicaEnginyeria Informàtica i Matemàtiques

Bifurcations of Zeros in Translated Families of Functions and Applications

  • Identification data

    Identifier:  imarina:9138862
    Handle: https://hdl.handle.net/20.500.11797/imarina9138862
    Authors:  Mardešić P; Marín D; Villadelprat J
    Abstract:
    © 2020, Springer Science+Business Media, LLC, part of Springer Nature. In this paper, we study the creation of zeros in a certain type of families of functions. The families studied are given by the difference of two basic functions with a translation made in the argument of one of these functions. The problem is motivated by applications in the 16th Hilbert problem and its ramifications. Here, we apply the results obtained to the study of bifurcations of critical periods in the Loud family of quadratic centers.

  • Others:

    Link to the original source: https://link.springer.com/article/10.1007/s10883-020-09520-3
    APA: Mardešić P; Marín D; Villadelprat J (2022). Bifurcations of Zeros in Translated Families of Functions and Applications. Journal Of Dynamical And Control Systems, (1), 121-150. DOI: 10.1007/s10883-020-09520-3
    Paper original source: Journal Of Dynamical And Control Systems. (1): 121-150
    Article's DOI: 10.1007/s10883-020-09520-3
    Journal publication year: 2022
    Entity: Universitat Rovira i Virgili
    Paper version: info:eu-repo/semantics/acceptedVersion
    Record's date: 2022-07-03
    URV's Author/s: VILLADELPRAT YAGÜE, JORDI
    Department: Enginyeria Informàtica i Matemàtiques
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Publication Type: Journal Publications
    Author, as appears in the article.: Mardešić P; Marín D; Villadelprat J
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Thematic Areas: Numerical analysis, Mathematics, applied, Matemática / probabilidade e estatística, Interdisciplinar, Economia, Control and systems engineering, Control and optimization, Ciências agrárias i, Automation & control systems, Algebra and number theory
    Author's mail: jordi.villadelprat@urv.cat

  • Keywords:

    Period function
    Cyclicity
    Critical period
    Centers
    Bifurcations
    time function
    polycycles
    dulac map
    criticality
    Algebra and Number Theory
    Automation & Control Systems
    Control and Optimization
    Control and Systems Engineering
    Mathematics
    Applied
    Numerical Analysis
    Matemática / probabilidade e estatística
    Interdisciplinar
    Economia
    Ciências agrárias i

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