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Quadratic vector fields with finitely many periodic orbits

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Geometric Dynamics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1007))

Abstract

We prove that vector fields outside an algebraic hypersurface in the space of coefficients of quadratic vector fields in the plane have a finite number of periodic orbits.

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References

  1. Dulac, H. Sur les cycles limits. Bull. Soc. Math. de France Vol. 51, 1923.

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J. Palis Jr.

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© 1983 Springer-Verlag

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Sotomayor, J., Paterlini, R. (1983). Quadratic vector fields with finitely many periodic orbits. In: Palis, J. (eds) Geometric Dynamics. Lecture Notes in Mathematics, vol 1007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061444

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  • DOI: https://doi.org/10.1007/BFb0061444

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12336-1

  • Online ISBN: 978-3-540-40969-4

  • eBook Packages: Springer Book Archive

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