Rodríguez Sanjurjo, José Manuel2023-06-202023-06-202007-120022-039610.1016/j.jde.2007.05.001https://hdl.handle.net/20.500.14352/50150We 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.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022039607001490#http://www.sciencedirect.com/restricted access514515.1Hopf bifurcationLorenz equationsLorenz attractorMorse equationsConley indexCohomological indexGeometríaTopología1204 Geometría1210 Topología