Displaying similar documents to “Existence, persistence and structure of integral manifolds in the neighbourhood of a periodic solution of autonomous differential systems”

A short introduction to shadows of 4-manifolds

Francesco Costantino (2005)

Fundamenta Mathematicae

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We give a self-contained introduction to the theory of shadows as a tool to study smooth 3-manifolds and 4-manifolds. The goal of the present paper is twofold: on the one hand, it is intended to be a shortcut to a basic use of the theory of shadows, on the other hand it gives a sketchy overview of some of the most recent results on shadows. No original result is proved here and most of the details of the proofs are left out.

Products of open manifolds with ℝ

Craig R. Guilbault (2007)

Fundamenta Mathematicae

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We present a characterization of those open n-manifolds (n ≥ 5) whose products with the real line are homeomorphic to interiors of compact (n+1)-manifolds with boundary.

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

Milan Medveď (1998)

Annales Polonici Mathematici

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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.