Open Access
December 2008 On the Center Problem for $p:-q$ Resonant Polynomial Vector Fields
Valery G. Romanovski, Douglas S. Shafer
Bull. Belg. Math. Soc. Simon Stevin 15(5): 871-887 (December 2008). DOI: 10.36045/bbms/1228486413

Abstract

We define the center variety for families of $p:-q$ resonant polynomial vector fields and prove the correctness of the definition. We also derive an algorithm for computing the focus quantities of such vector fields.

Citation

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Valery G. Romanovski. Douglas S. Shafer. "On the Center Problem for $p:-q$ Resonant Polynomial Vector Fields." Bull. Belg. Math. Soc. Simon Stevin 15 (5) 871 - 887, December 2008. https://doi.org/10.36045/bbms/1228486413

Information

Published: December 2008
First available in Project Euclid: 5 December 2008

zbMATH: 1163.34020
MathSciNet: MR2484138
Digital Object Identifier: 10.36045/bbms/1228486413

Subjects:
Primary: 34C99

Keywords: center , focus quantity , polynomial vector field , resonant

Rights: Copyright © 2008 The Belgian Mathematical Society

Vol.15 • No. 5 • December 2008
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