Sistemas dinâmicos dispersivos e paralelizáveis

Abstract

The main purpose of this work is study the equivalence between dispersive and parallelizable dynamical systems. We will see that a dynamical systems is parallelizable if only if has section with a continous aplication. With that, in a locally compact separable metric space it would be built a section with continous aplication for a dispersive dynamical systems, and therefore it will be proved that is equivalent for parallelizable dynamical systems. Finally, we will study the relation beetween fiber bundles and dynamical systems to shown that in a paracompact locally compact Hausdorff space a dynamical systems is dispersive if only if is parallelizable