The limit cycles of a class of quintic polynomial vector fields

Jaume Llibre; Tayeb Salhi

doi:https://doi.org/10.12775/TMNA.2019.030

The limit cycles of a class of quintic polynomial vector fields

Jaume Llibre, Tayeb Salhi

Department of Mathematics

Research output: Contribution to journal › Article › Research

Abstract

© 2019 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University in Toruń. Using the inverse integrating factor we study the limit cycles of a class of polynomial vector fields of degree 5.

Original language	English
Pages (from-to)	141-151
Journal	Topological Methods in Nonlinear Analysis
Volume	54
DOIs	https://doi.org/10.12775/TMNA.2019.030
Publication status	Published - 1 Sep 2019

Keywords

Inverse integrating factor
Limit cycle
Periodic orbit
Polynomial vector field

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https://doi.org/10.12775/TMNA.2019.030

https://ddd.uab.cat/record/221388

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title = "The limit cycles of a class of quintic polynomial vector fields",

abstract = "{\textcopyright} 2019 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University in Toru{\'n}. Using the inverse integrating factor we study the limit cycles of a class of polynomial vector fields of degree 5.",

keywords = "Inverse integrating factor, Limit cycle, Periodic orbit, Polynomial vector field",

author = "Jaume Llibre and Tayeb Salhi",

year = "2019",

month = sep,

day = "1",

doi = "https://doi.org/10.12775/TMNA.2019.030",

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AU - Salhi, Tayeb

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N2 - © 2019 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University in Toruń. Using the inverse integrating factor we study the limit cycles of a class of polynomial vector fields of degree 5.

AB - © 2019 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University in Toruń. Using the inverse integrating factor we study the limit cycles of a class of polynomial vector fields of degree 5.

KW - Inverse integrating factor

KW - Limit cycle

KW - Periodic orbit

KW - Polynomial vector field

U2 - https://doi.org/10.12775/TMNA.2019.030

DO - https://doi.org/10.12775/TMNA.2019.030

M3 - Article

VL - 54

SP - 141

EP - 151

JO - Topological Methods in Nonlinear Analysis

JF - Topological Methods in Nonlinear Analysis

SN - 1230-3429

ER -

The limit cycles of a class of quintic polynomial vector fields

Abstract

Keywords

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