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Bifurcations of Zeros in Translated Families of Functions and Applications
- Source :
- RECERCAT (Dipòsit de la Recerca de Catalunya), Recercat: Dipósit de la Recerca de Catalunya, Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya), Dipòsit Digital de Documents de la UAB, Universitat Autònoma de Barcelona, Journal of Dynamical and Control Systems, Journal of Dynamical and Control Systems, Springer Verlag, 2020, ⟨10.1007/s10883-020-09520-3⟩, Recercat. Dipósit de la Recerca de Catalunya, instname
- Publication Year :
- 2020
- Publisher :
- Springer, 2020.
-
Abstract
- 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. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
- Subjects :
- 0209 industrial biotechnology
Control and Optimization
polycycles
Centers
02 engineering and technology
Type (model theory)
Translation (geometry)
01 natural sciences
[SPI]Engineering Sciences [physics]
Bifurcations
020901 industrial engineering & automation
Quadratic equation
time function
Argument
Cyclicity
0101 mathematics
criticality
[MATH]Mathematics [math]
Mathematics
Numerical Analysis
Algebra and Number Theory
010102 general mathematics
Algebra
Critical period
dulac map
Control and Systems Engineering
period function
Subjects
Details
- ISSN :
- 10792724 and 15738698
- Database :
- OpenAIRE
- Journal :
- RECERCAT (Dipòsit de la Recerca de Catalunya), Recercat: Dipósit de la Recerca de Catalunya, Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya), Dipòsit Digital de Documents de la UAB, Universitat Autònoma de Barcelona, Journal of Dynamical and Control Systems, Journal of Dynamical and Control Systems, Springer Verlag, 2020, ⟨10.1007/s10883-020-09520-3⟩, Recercat. Dipósit de la Recerca de Catalunya, instname
- Accession number :
- edsair.doi.dedup.....76dc6ed545a5faee10dba07c677961e9