(2010) Gonzalez Tokman, Cecilia; Hunt, Brian R; Mathematics; Digital Repository at the University of Maryland; University of Maryland (College Park, Md.)
This thesis is concerned with the study of quantitative aspects of the stability of some dynamical systems that exhibit hyperbolic features. Results include scaling laws for bubbling bifurcations, description of limit invariant measures for metastable systems and shadowing properties of a data assimilation algorithm in the context of hyperbolic systems.
