Direct dynamical test for deterministic chaos and optimal embedding of a chaotic time-series

We propose here a local exponential divergence plot which is capable of providing an alternative means of characterizing a complex time series. The suggested plot defines a time-dependent exponent and a ''plus'' exponent. Based on their changes with the embedding dimension and delay time, a criterion for estimating simultaneously the minimal acceptable embedding dimension, the proper delay time, and the largest Lyapunov exponent has been obtained. When redefining the time-dependent exponent LAMBDA(k) curves on a series of shells, we have found that whether a linear envelope to the LAMBDA(k) curves exists can serve as a direct dynamical method of distinguishing chaos from noise.

Local exponential divergence plot and optimal embedding of a chaotic time-series

we propose here a local exponential divergence plot which is capable of providing a new means of characterizing chaotic time series. The suggested plot defines a time dependent exponent LAMBDA and a ''plus'' exponent LAMBDA+ which serves as a criterion for estimating simultaneously the minimal acceptable embedding dimension, the proper delay time and the largest Lyapunov exponent.

Singularity criteria for perturbation series

This paper is concerned with some mathematical aspects of the Van Dyke method inperturbation theory, i.e. the singularity criteria of perturbation series. The author suggestsa sign criterion and a Domb-syke plot for the cases with complex conjugate singularities, thussucceeding in extending the conclusions of Van Dyke's. Subsequently. effects of singularitiesof the lower order upon the criteria are taken into account. In addition, a method of locat-ing singular points is developed by analysing the new perturbation series derived by the Eulertransformation.

MBARI procedures for automated nutrient analyses using a modified Alpkem Series 300 Rapid Flow Analyzer

This report documents the methods used at the Monterey Bay Aquarium Research Institute (MBARI) for analyzing seawater nutrient samples with an Alpkem Series 300 Rapid Flow Analyzer (RFA) system. The methods have been optimized for the particular requirements of this laboratory. The RFA system has been used to analyze approximately 20,000 samples during the past two years. The methods have been optimized to run nutrient analyses in a routine manner with a detection limit of better than -±1% and a within run precision of -±1% of the full scale concentration range. The normal concentration ranges are 0-200 ~M silicate, 0-5 ~M phosphate, 0-50 ~M nitrate, 0-3 ~M nitrite, and 0-10 ~M ammonium. The memorandum is designed to be used in a loose-leaf binder format. Each page is dated and as revisions are made, they should be inserted into the binder. The revisions should be added into the binder. Retain the old versions in order to maintain a historical record of the procedures. (88 pages)

Dibujo infantil y cultura visual: estudios de género en las series de animación, representación e interpretación por parte de los propios niños

Ponencia leída en el Foro de Comunicaciones IkasArt II (BEC Barakaldo, 2010.06.18)

Reconstructing an 83-Year Time Series of Daily Sea Surface Temperature at Pacific Grove, California

Daily sea surface temperatures have been acquired at the Hopkins Marine Station in Pacific Grove, California since January 20, 1919.This time series is one of the longest oceanographic records along the U.S. west coast. Because of its length it is well-suited for studying climate-related and oceanic variability on interannual, decadal, and interdecadal time scales. The record, however, is not homogeneous, has numerous gaps, contains possible outliers, and the observations were not always collected at the same time each day. Because of these problems we have undertaken the task of reconstructing this long and unique series. We describe the steps that were taken and the methods that were used in this reconstruction. Although the methods employed are basic, we believe that they are consistent with the quality of the data. The reconstructed record has values at every time point, original, or estimated, and has been adjusted for time-of-day variations where this information was available. Possible outliers have also been examined and replaced where their credibility could not be established. Many of the studies that have employed the Hopkins time series have not discussed the issue of data quality and how these problems were addressed. Because of growing interest in this record, it is important that a single, well-documented version be adopted, so that the results of future analyses can be directly compared. Although additional work may be done to further improve the quality of this record, it is now available via the internet. [PDF contains 48 pages]

Análisis de series temporales : modelos ARIMA

Este documento es de utilidad como material docente a cualquier estudiante o persona interesada que quiera introducirse en el estudio del análisis de series temporales. Puede ser utilizado como libro de texto en algunas de las asignaturas que se imparten en la licenciatura en Economía y en la licenciatura en Administración de Empresas. Los modelos de series temporales ARIMA constituyen el núcleo del contenido de este documento. Estos modelos se basan en la teoría de los procesos estocásticos que se desarrolla en el capítulo 2. Los modelos ARMA estacionarios se explican con detalle en el capítulo 3 y los modelos ARIMA no estacionarios en el capítulo 4. La metodología de modelización ARIMA con las fases de identificación, estimación y contraste de diagnósticos se explica detalladamente en el capítulo 5 y el capítulo 6 se dedica a la predicción. El capítulo 7 trata sobre la especificación de los modelos de series temporales adecuados a los datos estacionales. Por último, el capítulo 8 reúne una colección de ejercicios para el trabajo propio del lector.

Estudio de series temporales y composición química del material particulado atmosférico en distintas áreas del País Vasco

286 p. : il. col.