Orbitally universal centers

Antonio Algaba; Cristóbal García; Jaume Giné; Jaume Llibre

doi:10.1016/j.na.2020.111746

Orbitally universal centers

Antonio Algaba, Cristóbal García, Jaume Giné^*, Jaume Llibre

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

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Resum

In this paper we define when a polynomial differential system is orbitally universal and we show the relevance of this notion in the classical center problem, i.e. in the problem of distinguishing between a focus and a center.

Idioma original	Anglès
Número d’article	111746
Revista	Nonlinear Analysis, Theory, Methods and Applications
Volum	195
DOIs	https://doi.org/10.1016/j.na.2020.111746
Estat de la publicació	Publicada - de juny 2020

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10.1016/j.na.2020.111746

https://ddd.uab.cat/record/221326

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@article{71151f54f4ec42889d9b7d8750d8ee7d,

title = "Orbitally universal centers",

abstract = "In this paper we define when a polynomial differential system is orbitally universal and we show the relevance of this notion in the classical center problem, i.e. in the problem of distinguishing between a focus and a center.",

keywords = "Center problem, Orbitally reversible, Universal center",

author = "Antonio Algaba and Crist{\'o}bal Garc{\'i}a and Jaume Gin{\'e} and Jaume Llibre",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2020",

month = jun,

doi = "10.1016/j.na.2020.111746",

language = "English",

volume = "195",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Orbitally universal centers

AU - Algaba, Antonio

AU - García, Cristóbal

AU - Giné, Jaume

AU - Llibre, Jaume

PY - 2020/6

Y1 - 2020/6

N2 - In this paper we define when a polynomial differential system is orbitally universal and we show the relevance of this notion in the classical center problem, i.e. in the problem of distinguishing between a focus and a center.

AB - In this paper we define when a polynomial differential system is orbitally universal and we show the relevance of this notion in the classical center problem, i.e. in the problem of distinguishing between a focus and a center.

KW - Center problem

KW - Orbitally reversible

KW - Universal center

UR - http://www.scopus.com/inward/record.url?scp=85077768866&partnerID=8YFLogxK

U2 - 10.1016/j.na.2020.111746

DO - 10.1016/j.na.2020.111746

M3 - Article

AN - SCOPUS:85077768866

SN - 0362-546X

VL - 195

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

M1 - 111746

ER -

Orbitally universal centers

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