Classification of a generic set of saddle connections in dimension 3
classification
🧮 math.DS
keywords
classificationconnectionsdimensionsubsetcompleteconnectionconsiderdense
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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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