Topological classification of polynomial complex differential equations with all the critical points of centre type

M. J. Álvarez, A. Gasull, R. Prohens

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

Abstract

In this paper, we study the global phase portrait of complex polynomial differential equations of degree n of the form ż = f(z), having all their critical points of centre 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 in terms of n. © 2010 Taylor & Francis.
Original languageEnglish
Pages (from-to)411-423
JournalJournal of Difference Equations and Applications
Volume16
Issue number5
DOIs
Publication statusPublished - 1 May 2010

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