Quadratic hamiltonian vector fields

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Abstract

Let H be a cubic polynomial in two variables over R. Then H defines a quadratic Hamiltonian vector field (∂H/∂y, - ∂H/∂x). The purpose of this paper is to prove that there are exactly 28 non-equivalent topologic phase portraits of quadratic Hamiltonian vector fields. © 1994 by Academic Press, Inc.
Original languageEnglish
Pages (from-to)80-95
JournalJournal of Differential Equations
Volume107
DOIs
Publication statusPublished - 1 Jan 1994

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