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:https://doi.org/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

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

© 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.

Original language	English
Article number	55
Journal	Electronic Journal of Qualitative Theory of Differential Equations
Volume	2015
DOIs	https://doi.org/10.14232/ejqtde.2015.1.55
Publication status	Published - 1 Jan 2015

Keywords

Invariant straight lines
Limit cycles
Periodic orbits
Polynomial differential systems
Polynomial vector fields

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https://doi.org/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",

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AU - Llibre, Jaume

AU - Rodrigues, Ana

PY - 2015/1/1

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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 - https://doi.org/10.14232/ejqtde.2015.1.55

DO - https://doi.org/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

Abstract

Keywords

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