Periodic lines of curvature bifurcating from Darbouxian umbilical connections. (English) Zbl 0714.34057

Bifurcations of planar vector fields, Proc. Meet., Luminy/Fr. 1989, Lect. Notes Math. 1455, 196-229 (1990).
Summary: [For the entire collection see Zbl 0707.00011.]
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.


34C23 Bifurcation theory for ordinary differential equations
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations


Zbl 0707.00011