On a new type of bifurcations on manifolds. (English) Zbl 0484.58025

Medvedev, V. S.

Math. USSR, Sb. 41, 403-407 (1982).

MSC:

37G99

Local and nonlocal bifurcation theory for dynamical systems

Keywords:

blue sky catastrophe; one-parameter family of smooth vector fields on a compact manifold, having a closed orbit which depends continuously on the parameter but whose period is not bounded above and which disappears at a finite distance from the set of singular points; bifurcation of a smooth vector field without singularities on a closed two-dimensional manifold

Citations:

Zbl 0468.58014