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
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/
Entity: Universitat Rovira i Virgili
Journal publication year: 2022
Publication Type: Journal Publications
Repositori URV