On the singularities of the planar cubic polynomial differential systems and the Euler Jacobi formula
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática (Portugal))

Date:	2020
Abstract:	Using the Euler-Jacobi formula we obtain an algebraic relation between the singular points of a polynomial vector field and their topological indices. Using this formula we obtain the configuration of the singular points together with their topological indices for the planar cubic polynomial differential systems when these systems have nine finite singular points.
Grants:	Ministerio de Economía y Competitividad 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:	Euler-Jacobi formula ; Singular points ; Topological index ; Cubic polynomial differential systems
Published in:	Qualitative theory of dynamical systems, Vol. 19, Issue 3 (December 2020) , art. 96, ISSN 1662-3592

DOI: 10.1007/s12346-020-00435-9

Postprint 36 p, 651.2 KB

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