Geodesic
Generic saddle-node bifurcation for cascade second order ODEs on manifolds
Annales Polonici Mathematici, Tome 68 (1998) no. 3, pp. 211-225 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap-68-3-211-225
Keywords: cascade, ODE, critical element, transversal, bifurcation 
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     author = {Milan Medve\v{d}},
     title = {Generic saddle-node bifurcation for cascade second order {ODEs} on manifolds},
     journal = {Annales Polonici Mathematici},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-68-3-211-225/}
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Milan Medveď. Generic saddle-node bifurcation for cascade second order ODEs on manifolds. Annales Polonici Mathematici, Tome 68 (1998) no. 3, pp. 211-225. doi: 10.4064/ap-68-3-211-225

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