On the centers of cubic polynomial differential systems with four invariant straight lines

Jaume Llibre

doi:10.12775/TMNA.2020.004

On the centers of cubic polynomial differential systems with four invariant straight lines

Jaume Llibre^*

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

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2 Cites (Scopus)

Resum

Assume that a cubic polynomial differential system in the plane has four invariant straight lines in generic position, i.e. they are not parallel and no more than two straight lines intersect in a point. Then such a differential system only can have 0, 1 or 3 centers.

Idioma original	Anglès
Pàgines (de-a)	387-402
Nombre de pàgines	16
Revista	Topological Methods in Nonlinear Analysis
Volum	55
Número	2
DOIs	https://doi.org/10.12775/TMNA.2020.004
Estat de la publicació	Publicada - 2020

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10.12775/TMNA.2020.004

https://ddd.uab.cat/record/232534

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title = "On the centers of cubic polynomial differential systems with four invariant straight lines",

abstract = "Assume that a cubic polynomial differential system in the plane has four invariant straight lines in generic position, i.e. they are not parallel and no more than two straight lines intersect in a point. Then such a differential system only can have 0, 1 or 3 centers.",

keywords = "Centers, Cubic polynomial differential systems, Cubic system, Invariant straight line",

author = "Jaume Llibre",

note = "Publisher Copyright: {\textcopyright} 2020 Juliusz Schauder Centre for Nonlinear Studies.",

year = "2020",

doi = "10.12775/TMNA.2020.004",

language = "English",

volume = "55",

pages = "387--402",

journal = "Topological Methods in Nonlinear Analysis",

issn = "1230-3429",

publisher = "Juliusz Schauder Center for Nonlinear Analysis",

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T1 - On the centers of cubic polynomial differential systems with four invariant straight lines

AU - Llibre, Jaume

PY - 2020

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N2 - Assume that a cubic polynomial differential system in the plane has four invariant straight lines in generic position, i.e. they are not parallel and no more than two straight lines intersect in a point. Then such a differential system only can have 0, 1 or 3 centers.

AB - Assume that a cubic polynomial differential system in the plane has four invariant straight lines in generic position, i.e. they are not parallel and no more than two straight lines intersect in a point. Then such a differential system only can have 0, 1 or 3 centers.

KW - Centers

KW - Cubic polynomial differential systems

KW - Cubic system

KW - Invariant straight line

UR - https://www.scopus.com/pages/publications/85090753209

U2 - 10.12775/TMNA.2020.004

DO - 10.12775/TMNA.2020.004

M3 - Article

AN - SCOPUS:85090753209

SN - 1230-3429

VL - 55

SP - 387

EP - 402

JO - Topological Methods in Nonlinear Analysis

JF - Topological Methods in Nonlinear Analysis

IS - 2

ER -

On the centers of cubic polynomial differential systems with four invariant straight lines

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