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| Author(s): |
Luis Roberto Almeida Gabriel Filho
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Carlos. , ilustrações. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2004-03-15 |
| Examining board members: |
Hildebrando Munhoz Rodrigues;
Luís Fernando Costa Alberto;
Jose Gaspar Ruas Filho
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| Advisor: | Hildebrando Munhoz Rodrigues |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics |
| Indexed in: | Banco de Dados Bibliográficos da USP-DEDALUS; Biblioteca Digital de Teses e Dissertações - USP |
| Location: | Universidade de São Paulo. Instituto de Ciências Matemáticas e de Computação. Biblioteca Prof. Achille Bassi; ICMSC/T; G118ca |
| Abstract | |
Firstly, in this work, we present a study of part of two works by J. P. LaSalle, concerning with asymptotic behavior of discrete systems. Secondly, we study the dynamics of a discrete system that depends on a parameter l in L, of the form x(n+1) = f(x(n), l). As part of this general purpose, we develop tecniques to obtain uniform estimates (with respect to the parameter l in L) of the attractor when the system is globally dissipative. These methods are based on auxiliary functions of Liapunov type. In the last part of this work we present some simulations envolving chaotic discrete systems, namely: Chua, Hénon, Ikeda, Lorenz and Rössler. (AU) | |