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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.

MSC:

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

Citations:

Zbl 0707.00011