Generic saddle-node bifurcation for cascade second order ODEs on manifolds
Volume 68 / 1998
Annales Polonici Mathematici 68 (1998), 211-225
DOI: 10.4064/ap-68-3-211-225
Abstract
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.
