Displaying similar documents to “Bifurcations of generic one parameter families of functions on foliated manifolds.”

Generic saddle-node bifurcation for cascade second order ODEs on manifolds

Milan Medveď (1998)

Annales Polonici Mathematici

Similarity:

Cascade second order ODEs on manifolds are defined. These objects are locally represented by coupled second order ODEs such that any solution of one of them can represent an external force for the other one. A generic saddle-node bifurcation theorem for 1-parameter families of cascade second order ODEs is proved.