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Cofactors and equilibria for polynomial vector fields

Published online by Cambridge University Press:  24 July 2014

Antoni Ferragut  and
Jaume Llibre
Antoni Ferragut
Affiliation:
Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Avenida Diagonal 647, 08028 Barcelona, Catalonia, Spain
Jaume Llibre
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, Edifici C, 08193 Bellaterra, Barcelona, Catalonia, Spain, [email protected]
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Abstract

We present a relationship between the existence of equilibrium points of differential systems and the cofactors of the invariant algebraic curves and the exponential factors of the system.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 4 , August 2014 , pp. 753 - 760
Copyright
Copyright © Royal Society of Edinburgh 2014 

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