Configurations of the topological indices of the planar polynomial differential systems of degree (2, m)
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:	Using the Euler-Jacobi formula there is a 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 polynomial differential systems x˙ = P(x, y), y˙ = Q(x, y) with degree of P equal to 2 and degree of Q equal to m when these systems have 2m 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 Ministerio de Economía y Competitividad PID2019-104658GB-I00
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Euler-Jacobi formula ; Singular points ; Topological index ; Polynomial differential systems ; Berlinskii's Theorem
Published in:	Results in Mathematics, Vol. 76, Issue 1 (March 2021) , art. 21, ISSN 1420-9012

DOI: 10.1007/s00025-020-01322-0

Postprint 14 p, 598.2 KB

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