Periodic orbits for real planar polynomial vector fields of degree n having n invariant straight lines taking into account their multiplicities

Jaume Llibre; Ana Rodrigues

doi:10.14232/ejqtde.2015.1.55

Periodic orbits for real planar polynomial vector fields of degree n having n invariant straight lines taking into account their multiplicities

Jaume Llibre, Ana Rodrigues

Departament de Matemàtiques

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Resum

© 2015, University of Szeged. All rights reserved. We study the existence and non-existence of periodic orbits and limit cycles for planar polynomial differential systems of degree n having n real invariant straight lines taking into account their multiplicities. The polynomial differential systems with n = 1,2,3 are completely characterized.

Idioma original	Anglès
Número d’article	55
Revista	Electronic Journal of Qualitative Theory of Differential Equations
Volum	2015
DOIs	https://doi.org/10.14232/ejqtde.2015.1.55
Estat de la publicació	Publicada - 1 de gen. 2015

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10.14232/ejqtde.2015.1.55

https://ddd.uab.cat/record/145347

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title = "Periodic orbits for real planar polynomial vector fields of degree n having n invariant straight lines taking into account their multiplicities",

abstract = "{\textcopyright} 2015, University of Szeged. All rights reserved. We study the existence and non-existence of periodic orbits and limit cycles for planar polynomial differential systems of degree n having n real invariant straight lines taking into account their multiplicities. The polynomial differential systems with n = 1,2,3 are completely characterized.",

keywords = "Invariant straight lines, Limit cycles, Periodic orbits, Polynomial differential systems, Polynomial vector fields",

author = "Jaume Llibre and Ana Rodrigues",

year = "2015",

month = jan,

day = "1",

doi = "10.14232/ejqtde.2015.1.55",

language = "English",

volume = "2015",

journal = "Electronic Journal of Qualitative Theory of Differential Equations",

issn = "1417-3875",

publisher = "University of Szeged",

}

Periodic orbits for real planar polynomial vector fields of degree n having n invariant straight lines taking into account their multiplicities. / Llibre, Jaume; Rodrigues, Ana.
In: Electronic Journal of Qualitative Theory of Differential Equations, Vol. 2015, 55, 01.01.2015.

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

TY - JOUR

T1 - Periodic orbits for real planar polynomial vector fields of degree n having n invariant straight lines taking into account their multiplicities

AU - Llibre, Jaume

AU - Rodrigues, Ana

PY - 2015/1/1

Y1 - 2015/1/1

N2 - © 2015, University of Szeged. All rights reserved. We study the existence and non-existence of periodic orbits and limit cycles for planar polynomial differential systems of degree n having n real invariant straight lines taking into account their multiplicities. The polynomial differential systems with n = 1,2,3 are completely characterized.

AB - © 2015, University of Szeged. All rights reserved. We study the existence and non-existence of periodic orbits and limit cycles for planar polynomial differential systems of degree n having n real invariant straight lines taking into account their multiplicities. The polynomial differential systems with n = 1,2,3 are completely characterized.

KW - Invariant straight lines

KW - Limit cycles

KW - Periodic orbits

KW - Polynomial differential systems

KW - Polynomial vector fields

U2 - 10.14232/ejqtde.2015.1.55

DO - 10.14232/ejqtde.2015.1.55

M3 - Article

SN - 1417-3875

VL - 2015

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

M1 - 55

ER -

Periodic orbits for real planar polynomial vector fields of degree n having n invariant straight lines taking into account their multiplicities

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