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

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.

Bibliographic Details
Authors: Llibre, Jaume|||0000-0002-9511-5999, Zhang, Xiang
Format: article
Publication Date:2019
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:204391
Online Access:https://ddd.uab.cat/record/204391
https://dx.doi.org/urn:doi:10.1017/S0308210517000221
Access Level:Open access
Keyword:Quadratic systems
Quadratic polynomial differential system
Limit cycles
Description
Summary: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.