Quadratic hamiltonian vector fields

Joan C. Artés; Jaume Llibre

doi:https://doi.org/10.1006/jdeq.1994.1004

Quadratic hamiltonian vector fields

Joan C. Artés, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

49 Citations (Scopus)

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 language	English
Pages (from-to)	80-95
Journal	Journal of Differential Equations
Volume	107
DOIs	https://doi.org/10.1006/jdeq.1994.1004
Publication status	Published - 1 Jan 1994

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title = "Quadratic hamiltonian vector fields",

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. {\textcopyright} 1994 by Academic Press, Inc.",

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AB - 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.

U2 - https://doi.org/10.1006/jdeq.1994.1004

DO - https://doi.org/10.1006/jdeq.1994.1004

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