The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems

Jaume Llibre; Xiang Zhang

doi:https://doi.org/10.1017/S0308210517000221

The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems

Jaume Llibre, Xiang Zhang

Department of Mathematics

Research output: Contribution to journal › Article › Research

7 Citations (Scopus)

Abstract

© 2017 Royal Society of Edinburgh. We provide sufficient conditions for the non-existence, existence and uniqueness of limit cycles surrounding a focus of a quadratic polynomial differential system in the plane.

Original language	English
Pages (from-to)	1-14
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	149
DOIs	https://doi.org/10.1017/S0308210517000221
Publication status	Published - 1 Feb 2019

Keywords

limit cycles
quadratic polynomial differential system
quadratic systems

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https://doi.org/10.1017/S0308210517000221

https://ddd.uab.cat/record/204391

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title = "The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems",

abstract = "{\textcopyright} 2017 Royal Society of Edinburgh. We provide sufficient conditions for the non-existence, existence and uniqueness of limit cycles surrounding a focus of a quadratic polynomial differential system in the plane.",

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KW - quadratic systems

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DO - https://doi.org/10.1017/S0308210517000221

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JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems

Abstract

Keywords

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