paper

Classification of a generic set of saddle connections in dimension 3

arXiv:math/0303301

Abstract

We consider an open and dense subset of the set of all connections (heteroclinic orbits) between two saddles of a vector field in dimension three. We give a complete classification up to topological equivalence of the dynamics in a neighbourhood of a connection in this subset.

16 pages, 6 figures

Classification of a generic set of saddle connections in dimension 3 · wovepaper