Asintoticidad en sistemas dinámicos: conjuntos omega-límite, orden-caos, universalidad y minimalidad.
Starting from the study of the structure of omega-limit sets in Dynamical Systems, several questions concerning complex asymptotical behaviour on dynamics are analyzed, with an emphasis on a number of notions of chaos and on universality. To characterize the presence of these facts is nowadays a key point for dynamic reserching. As a rule a topological-based approach is used, and although, depending on the particular problem, all types of Dynamical Systems (both continuous and discrete, one-dimensional or multidimensional ones) will be considered, we mainly work in the setting of low-dimensional Discrete Dynamical Systems and continuous ones of dimension two.
Junta de Comunidades de Castilla-La Mancha (PAI06-0114) (2006-2008)
Universidad de Castilla-La Mancha, Universidad de Murcia y Universidad Politécnica de Cartagena.
08/05/2006 - 31/12/2008