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| Author(s): |
Matheus Cheque Bortolan
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2009-05-13 |
| Examining board members: |
Hildebrando Munhoz Rodrigues;
Alexandre Nolasco de Carvalho;
Antonio Luiz Pereira
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| Advisor: | Hildebrando Munhoz Rodrigues |
| Abstract | |
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 (AU) | |