Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Yu, Jiang (Shanghai Jiao Tong University. Department of Mathematics)

Date:	2018
Abstract:	In this article we consider a class of quadratic polynomial differential systems in the plane having a hyperbola and a straight line as invariant algebraic curves, and we classify all its phase portraits. Moreover these systems are integrable and we provide their first integrals.
Grants:	European Commission 318999 European Commission 316338 Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Published in:	Electronic journal of differential equations, Vol. 141 (2018) , p. 1-19, ISSN 1072-6691

Postprint 24 p, 759.4 KB

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