Classical Planar Algebraic Curves Realizable by Quadratic Polynomial Differential Systems
García, Isaac (Universitat de Lleida. Departament de Matemàtica)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2017
Abstract:	In this paper we show examples of planar quadratic differential systems having some famous planar invariant algebraic curves. We carry out a non exhaustive classification taking into account the degree of the invariant algebraic curve. Also we pay particular attention to the Darboux integrability of the systems.
Grants:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2014-SGR-568 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014-SGR-1204 European Commission 318999 Ministerio de Economía y Competitividad MTM2014-53703-P Ministerio de Economía y Competitividad MTM2016-77278-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Darboux integrability ; Invariant algebraic curve ; Quadratic differential system
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 9 (2017) , p. 1750141 (12 pages), ISSN 1793-6551

DOI: 10.1142/S0218127417501413

Postprint 17 p, 752.4 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles