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Plane polynomial vector fields with prescribed invariant curves

Published online by Cambridge University Press:  11 July 2007

S. Walcher
S. Walcher
Affiliation:
Zentrum Mathematik, TU München, 80290 München, Germany and Institut für Biomathematik und Biometrie, GSF-Forschungszentrum, 85764 Neuherberg, Germany
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Abstract

The main result of this paper is the determination of all plane polynomial vector fields that admit a prescribed collection of algebraic curves as invariant sets. As an application, the polynomial vector fields admitting certain types of algebraic integrating factors are characterized.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 3 , June 2000 , pp. 633 - 649
Copyright
Copyright © Royal Society of Edinburgh 2000

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