%0 Journal Article %A Rodríguez Sanjurjo, José Manuel %T Global topological properties of the Hopf bifurcation %D 2007 %@ 0022-0396 %U https://hdl.handle.net/20.500.14352/50150 %X We study the homotopical and homological properties of the attractors evolving from a generalized Hopf bifurcation. We consider the Lorenz equations for parameter values near the Hopf bifurcation and study a natural Morse decomposition of the global attractor, calculating the Cech homotopy type of the Lorenz attractor, the shape indexes of the Morse sets and the Morse equation of the decomposition. %~