Classification of a generic set of saddle connections in dimension 3

Details Classification of a generic set of saddle connections in dimension 3 Classification of a generic set of saddle connections in dimension 3

2003-03-25

arxiv.org/abs/math/0303301v1

Mathematics

Dynamical Systems

16 pages, 6 figures

Scientific paper

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.

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