# American Institute of Mathematical Sciences

May  2006, 15(2): 395-414. doi: 10.3934/dcds.2006.15.395

## Topological classification of multiple saddle connections

 1 Fac. Ciencias. Universidad de Alicante, Alicante, Spain 2 Foundation Getulio Vargas, Rio de Janeiro, Brazil 3 Fac. Ciencias. Universidad de Valladolid, Valladolid, Spain

Received  February 2005 Revised  October 2005 Published  March 2006

We give a complete topological classification of three dimensional dynamical systems with a "non-return" configuration of multiple saddle-connections along the skeleton of a normal crossings divisor. Our classifying space has a geometrical description, is finite and depends only on the distribution of the eigenvalues.
Citation: C. Alonso-González, M. I. Camacho, F. Cano. Topological classification of multiple saddle connections. Discrete & Continuous Dynamical Systems - A, 2006, 15 (2) : 395-414. doi: 10.3934/dcds.2006.15.395
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