The Cubic Polynomial Differential Systems with two Circles as Algebraic Limit Cycles

Jaume Giné; Jaume Llibre; Claudia Valls

doi:https://doi.org/10.1515/ans-2017-6033

The Cubic Polynomial Differential Systems with two Circles as Algebraic Limit Cycles

Jaume Giné, Jaume Llibre, Claudia Valls

Department of Mathematics

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

Abstract

Original language	English
Pages (from-to)	183-193
Journal	Advanced Nonlinear Studies
Volume	18
Issue number	1
DOIs	https://doi.org/10.1515/ans-2017-6033
Publication status	Published - 1 Feb 2018

Keywords

Cubic Systems
Invariant Algebraic Curves
Limit Cycles

Access to Document

https://doi.org/10.1515/ans-2017-6033

https://ddd.uab.cat/record/199332

Cite this

@article{6adeeb46fc954c81a91d080c24eb35c0,

title = "The Cubic Polynomial Differential Systems with two Circles as Algebraic Limit Cycles",

abstract = "{\textcopyright} 2017 Walter de Gruyter GmbH, Berlin/Boston 2018. In this paper we characterize all cubic polynomial differential systems in the plane having two circles as invariant algebraic limit cycles.",

keywords = "Cubic Systems, Invariant Algebraic Curves, Limit Cycles",

author = "Jaume Gin{\'e} and Jaume Llibre and Claudia Valls",

year = "2018",

month = feb,

day = "1",

doi = "https://doi.org/10.1515/ans-2017-6033",

language = "English",

volume = "18",

pages = "183--193",

journal = "Advanced Nonlinear Studies",

issn = "1536-1365",

publisher = "Walter de Gruyter GmbH & Co. KG",

number = "1",

}

TY - JOUR

T1 - The Cubic Polynomial Differential Systems with two Circles as Algebraic Limit Cycles

AU - Giné, Jaume

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2018/2/1

Y1 - 2018/2/1

KW - Cubic Systems

KW - Invariant Algebraic Curves

KW - Limit Cycles

U2 - https://doi.org/10.1515/ans-2017-6033

DO - https://doi.org/10.1515/ans-2017-6033

M3 - Article

VL - 18

SP - 183

EP - 193

JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

SN - 1536-1365

IS - 1

ER -

The Cubic Polynomial Differential Systems with two Circles as Algebraic Limit Cycles

Abstract

Keywords

Access to Document

Fingerprint

Cite this