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Periodic lines of curvature bifurcating from Darbouxian umbilical connections

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

Abstract

The configurations of lines of curvature around separatrices joining Darbouxian umbilical points as well as their patterns of bifurcation to closed principal lines are studied in this work.

Keywords

  • Vector Field
  • Phase Portrait
  • Principal Curvature
  • Positive Orientation
  • Umbilical Point

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1990 Springer-Verlag

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Gutierrez, C., Sotomayor, J. (1990). Periodic lines of curvature bifurcating from Darbouxian umbilical connections. 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/BFb0085394

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  • DOI: https://doi.org/10.1007/BFb0085394

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53509-6

  • Online ISBN: 978-3-540-46722-9

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