NANADec 19, 2016

Simulation of Recursive Functions by Means of Interval Analysis and Pseudo-Orbits

arXiv:1612.081072 citationsh-index: 23
Originality Synthesis-oriented
AI Analysis

Incremental improvement for interval analysis methods in dynamical systems.

The authors reduce bounds of exact solutions in interval analysis by intersecting pseudo-orbits from interval extensions, applied to the logistic map.

In this work we use intersection of different pseudo-orbits obtained by interval extensions to reduce the bounds of the exact solution provided by the toolbox Intlab. The method is applied on the logistic map.

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