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Bifurcations of Zeros in Translated Families of Functions and Applications

  • Identification data

    Identifier: imarina:9138862
    Authors:
    Mardešić PMarín DVilladelprat 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:

    Author, as appears in the article.: Mardešić P; Marín D; Villadelprat J
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: VILLADELPRAT YAGÜE, JORDI
    Keywords: Period function Cyclicity Critical period Centers Bifurcations time function polycycles dulac map cyclicity criticality centers bifurcations
    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.
    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
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: jordi.villadelprat@urv.cat
    Author identifier: 0000-0002-1168-9750
    Record's date: 2022-07-03
    Papper version: info:eu-repo/semantics/acceptedVersion
    Link to the original source: https://link.springer.com/article/10.1007/s10883-020-09520-3
    Papper original source: Journal Of Dynamical And Control Systems. (1): 121-150
    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
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Article's DOI: 10.1007/s10883-020-09520-3
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2022
    Publication Type: Journal Publications
  • Keywords:

    Algebra and Number Theory,Automation & Control Systems,Control and Optimization,Control and Systems Engineering,Mathematics, Applied,Numerical Analysis
    Period function
    Cyclicity
    Critical period
    Centers
    Bifurcations
    time function
    polycycles
    dulac map
    cyclicity
    criticality
    centers
    bifurcations
    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
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