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Bifurcations of Zeros in Translated Families of Functions and Applications

  • Datos identificativos

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

  • Otros:

    Autor según el artículo: Mardešić P; Marín D; Villadelprat J
    Departamento: Enginyeria Informàtica i Matemàtiques
    Autor/es de la URV: VILLADELPRAT YAGÜE, JORDI
    Palabras clave: Period function Cyclicity Critical period Centers Bifurcations time function polycycles dulac map cyclicity criticality centers bifurcations
    Resumen: © 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.
    Áreas temáticas: 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
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    Direcció de correo del autor: jordi.villadelprat@urv.cat
    Identificador del autor: 0000-0002-1168-9750
    Fecha de alta del registro: 2022-07-03
    Versión del articulo depositado: info:eu-repo/semantics/acceptedVersion
    Enlace a la fuente original: https://link.springer.com/article/10.1007/s10883-020-09520-3
    Referencia al articulo segun fuente origial: Journal Of Dynamical And Control Systems. (1): 121-150
    Referencia 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 Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    DOI del artículo: 10.1007/s10883-020-09520-3
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2022
    Tipo de publicación: Journal Publications

  • Palabras clave:

    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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