A rigorous evaluation of the intermittence in the logistic map using lower bound error
Signal Processing
2017-12-05 v1
Abstract
This article investigates the maximum time of simulation in which the phenomenon of the intermittence can be observed with numerical confidence in discrete maps. Interval analysis and the lower error limit were used. As a result, it was observed that the reliability of the intermittency is dependent on the initial condition. Four numerical examples show the efficiency of the proposal.
Cite
@article{arxiv.1712.01013,
title = {A rigorous evaluation of the intermittence in the logistic map using lower bound error},
author = {Marcella N. R. Oliveira and Erivelton G. Nepomuceno},
journal= {arXiv preprint arXiv:1712.01013},
year = {2017}
}
Comments
DINCON 2017 - Conferencia Brasileira de Dinamica, Controle e Aplicacoes - Sao Jose do Rio Preto - Brazil. 7 pages. In Portuguese