Inverse problems for invariant algebraic curves: Explicit computations

Colin Christopher, Jaume Llibre, Chara Pantazi, Sebastian Walcher

Research output: Contribution to journalArticleResearchpeer-review

20 Citations (Scopus)

Abstract

Given an algebraic curve in the complex affine plane, we describe how to determine all planar polynomial vector fields which leave this curve invariant. If all (finite) singular points of the curve are non-degenerate, we give an explicit expression for these vector fields. In the general setting we provide an algorithmic approach, and as an alternative we discuss sigma processes. © 2009 Copyright Royal Society of Edinburgh.
Original languageEnglish
Pages (from-to)287-302
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume139
DOIs
Publication statusPublished - 1 Apr 2009

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