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

Published online by Cambridge University Press:  20 November 2017

Jaume Llibre
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain ([email protected])
Xiang Zhang
Affiliation:
Department of Mathematics, MOE–LSC, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China ([email protected])

Abstract

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.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2017 

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