Bulletin of the Belgian Mathematical Society - Simon Stevin

On the Center Problem for $p:-q$ Resonant Polynomial Vector Fields

Valery G. Romanovski and Douglas S. Shafer
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 15, Number 5 (2008), 871-887.

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.

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Primary Subjects: 34C99
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bbms/1228486413
Mathematical Reviews number (MathSciNet): MR2484138
Zentralblatt MATH identifier: 1163.34020


2012 © The Belgian Mathematic Society

Bulletin of the Belgian Mathematical Society - Simon Stevin

Bulletin of the Belgian Mathematical Society - Simon Stevin