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Pàgina inicial > Articles > Articles publicats > Topological classification of polynomial complex differential equations with all the critical points of centre type |
Data: | 2010 |
Resum: | 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. |
Ajuts: | Ministerio de Ciencia y Tecnología MTM2005-06098-C02-1 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005/SGR-00550 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Polynomial vector field ; Holomorphic vector field ; Phase portrait ; Graph |
Publicat a: | Journal of Difference Equations and Applications, Vol. 16, Issue 5-6 (May 2010) , p. 411-423, ISSN 1563-5120 |
Postprint 14 p, 412.2 KB |