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
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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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