On the finiteness of certain boundary cycles for NTH degree polynomial vector fields

Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1455)


In this paper we give a precise definition of a boundary cycle for a polynomial vector field and prove the finiteness of boundary cycles which are not limit cycles for polynomial vector fields of degree n.


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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  1. 1.Centre de Recherches MathématiquesUniversité de MontréalMontréalCanada

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