Dynamics and Darboux integrability of the D 2 polynomial vector fields of degree 2 in ℝ3
Ginoux, Jean-Marc (Centre National de la Recherche Scientifique. Université de Toulon. Centre de Physique Théorique (France))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática (Portugal))

Date:	2021
Abstract:	We characterize the Darboux integrability and the global dynamics of the 3-dimensional polynomial differential systems of degree 2 which are invariant under the D2 symmetric group, which have been partially studied previously by several authors.
Grants:	Ministerio de Ciencia e Innovación MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Integrability ; Darboux invariant ; Poincaré sphere ; Global dynamics ; D 2 symmetric polynomial vector fields
Published in:	Mathematical Physics, Analysis and Geometry, Vol. 24, Issue 1 (March 2021) , art. 1, ISSN 1572-9656

DOI: 10.1007/s11040-020-09372-0

Postprint 17 p, 655.4 KB

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