Gradient Structure of the Cascade System

This books presents the theory of autonomous and non-autonomous dynamical systems. Some known results of ordinary differential equations are generalized to metric spaces and infinite dimensional Banach spaces. Also, a relevant topic present in this book is the study of global and pullback attractors, when it exists, their structure and how they behave under perturbation. Subjects as the robustness of the gradient structure, exponential dichotomy, skew-product and hiperbolicity are present as well. The last chapter is dedicated to an application on the cascade system.

Autorentext

Carlos Takaessu is a brazilian student which is currently doing his PhD in mathematics, in the area of nonlinear dynamical systems, at the Institute of Mathematics and Computer Sciences of the University of São Paulo (ICMC-USP).