Using nonlinear dynamics to predict Old Faithful

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Abstract

The current algorithm for predicting eruptions of Old Faithful is observation-based and has an accuracy of plus or minus ten minutes. In this paper, we analyze eruption data from a nonlinear dynamics perspective and develop a mathematical prediction model based on the discrete logistics map. We compare our predictions of the data with those from the observation-based algorithm. We conclude that although our algorithm is not as practical for use in the park setting, it is competitive with the current one.

Keywords

Logistics map
Geyser eruptions
Nonlinear dynamics
Old Faithful

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