Atratores para sistemas dinâmicos discretos: dimensão fractal e continuidade da estrutura por perturbações / Discrete dynamical systems attractors: fractal dimension and continuity of the structure under perturbations

AUTOR(ES)
DATA DE PUBLICAÇÃO

2009

RESUMO

In this work, we study a generalization of gradient discrete semigroups, the gradientlike semigroups, some of its properties and its invariance under small perturbations; that is, small perturbations of gradient-like semigroups are still gradient-like semigroups. As a consequence of the characterization of the attractors for this sort of semigroups, we study the exponential attraction of attractors. Finally, we study some concepts of Hausdorff dimension and fractal dimension and present some results about this subject, and we studied the construction of a new class of attractors, the exponential fractal attractors

ASSUNTO(S)

attractors exponential attractors gradient systems semigrupos gradiente-like fractal exponential attractors fractal dimension gradiente-like semigroups atratores semigrupos gradientes atratores exponenciais fractais dimensão fractal atratores exponenciais

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