Comportamento assintótico de sistemas não lineares discretos / Asymptotic behavior of non lineal discrete systems

AUTOR(ES)
DATA DE PUBLICAÇÃO

2004

RESUMO

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.

ASSUNTO(S)

sistemas dinâmicos functions of liapunov type funções tipo liapunov sistemas não lineares discretos dynamics system discrete non lineal systems

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