Topological classification of polynomial complex differential equations with all the critical points of centre type
Álvarez Torres, María Jesús (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica)
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Prohens, Rafel (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica)

Date:	2010
Abstract:	In this paper we study the global phase portrait of complex polynomial differential equations of degree n of the form z˙ = f(z), having all their critical points of center type. We give the exact number of topologically different phase portraits on the Poincaré disk when n ≤ 6 and, in the remaining cases, an upper bound for this number which only depends on n.
Grants:	Ministerio de Ciencia y Tecnología MTM2005-06098-C02-1 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005/SGR-00550
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Polynomial vector field ; Holomorphic vector field ; Phase portrait ; Graph
Published in:	Journal of Difference Equations and Applications, Vol. 16, Issue 5-6 (May 2010) , p. 411-423, ISSN 1563-5120

DOI: 10.1080/10236190903232654

Postprint 14 p, 412.2 KB

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