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arXiv · 1712.01013

A rigorous evaluation of the intermittence in the logistic map using lower bound error

Marcella N. R. Oliveira·Erivelton G. Nepomuceno
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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.

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Marcella N. R. Oliveira, Erivelton G. Nepomuceno. 2017-12-04. A rigorous evaluation of the intermittence in the logistic map using lower bound error. https://arxiv.org/abs/1712.01013

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