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Bifurcations of Zeros in Translated Families of Functions and Applications

  • Dades identificatives

    Identificador: imarina:9138862
    Handle: https://hdl.handle.net/20.500.11797/imarina9138862
    Autors:
    Mardešić PMarín DVilladelprat J
    Resum:
    © 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.

  • Altres:

    Autor segons l'article: Mardešić P; Marín D; Villadelprat J
    Departament: Enginyeria Informàtica i Matemàtiques
    Autor/s de la URV: VILLADELPRAT YAGÜE, JORDI
    Paraules clau: Period function Cyclicity Critical period Centers Bifurcations time function polycycles dulac map cyclicity criticality centers bifurcations
    Resum: © 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.
    Àrees temàtiques: 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
    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: 2022-07-03
    Versió de l'article dipositat: info:eu-repo/semantics/acceptedVersion
    Enllaç font original: https://link.springer.com/article/10.1007/s10883-020-09520-3
    Referència a l'article segons font original: Journal Of Dynamical And Control Systems. (1): 121-150
    Referència de l'ítem segons les normes 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
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    DOI de l'article: 10.1007/s10883-020-09520-3
    Entitat: Universitat Rovira i Virgili
    Any de publicació de la revista: 2022
    Tipus de publicació: Journal Publications

  • Paraules clau:

    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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