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

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

Abstract

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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References

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© 1990 Springer-Verlag

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Songling, S. (1990). On the finiteness of certain boundary cycles for NTH degree polynomial vector fields. In: Françoise, JP., Roussarie, R. (eds) Bifurcations of Planar Vector Fields. Lecture Notes in Mathematics, vol 1455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085401

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  • DOI: https://doi.org/10.1007/BFb0085401

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53509-6

  • Online ISBN: 978-3-540-46722-9

  • eBook Packages: Springer Book Archive