Published Dec 28, 1999



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Nelson Obregón-Neira, PhD

Carlos E. Puente, PhD

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Abstract

A deterministic geometric procedure, the Fractal-Multifractal (FM) Methodology [Puente, 1992J, aimed at representing geophysical time series wholistically as projections of fractal interpolating functions, is shown to produce a variety of 1/f3 multifractal series that include both "chaotic" and "stochastic" signals. This unexpected and apparently contradictory result, given the intrinsic determinism of the representation, suggests that the concept of projections may be useful to study the complexity of a variety of natural records. Outcomes of the FM approach showing this behavior are presented along with a brief review of basic concepts on nonlinear time series analysis.

Keywords

procedimiento geométrico determinístico, metodología fractal-multifractal

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How to Cite
Obregón-Neira, N., & Puente, C. E. (1999). Chaos and Stochasticity in Deterministically Generated Multifractal Measures. Ingenieria Y Universidad, 3(1-2), 35–45. Retrieved from https://revistas.javeriana.edu.co/index.php/iyu/article/view/34055
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