Dynamics near a heteroclinic network

We study the dynamical behaviour of a smooth vector field on a 3-manifold near a heteroclinic network. Under some generic assumptions on the network, we prove that every path on the network is followed by a neighbouring trajectory of the vector field -- there is switching on the network. We also sho...

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Bibliographic Details
Main Author: Manuela A. D. Aguiar (author)
Other Authors: Sofia B. S. D. Castro (author), Labouriau, IS (author)
Format: article
Language:por
Published: 2005
Online Access:https://hdl.handle.net/10216/97235
Country:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/97235