A carregar...
Publicação
Computability and dynamical systems
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 111.5 KB | Adobe PDF |
Autores
Orientador(es)
Resumo(s)
In this paper we explore results that establish a link between dynamical
systems and computability theory (not numerical analysis). In the last few decades,
computers have increasingly been used as simulation tools for gaining insight into
dynamical behavior. However, due to the presence of errors inherent in such numerical
simulations, with few exceptions, computers have not been used for the
nobler task of proving mathematical results. Nevertheless, there have been some recent
developments in the latter direction. Here we introduce some of the ideas and
techniques used so far, and suggest some lines of research for further work on this
fascinating topic.
Descrição
Palavras-chave
Contexto Educativo
Citação
Editora
M. Peixoto, A. Pinto, and D. Rand