Comportamento assintótico de sistemas não lineares discretos / Asymptotic behavior of non lineal discrete systems
AUTOR(ES)
Luis Roberto Almeida Gabriel Filho
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
Documentos Relacionados
- Discrete dynamical systems: stability, asymptotic behavior and synchronization
- STABILITY FOR DISCRETE LINEAR SYSTEMS IN HILBERT SPACES
- Verificação formal de sistemas discretos distribuídos.
- Comportamento assintótico para soluções de certas equações diferenciais funcionais periódicas
- Controle em horizonte finito com restriçoes de sistemas lineares discretos com saltos markovianos