Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data

ISBN-13: 9781439819975 / Angielski / Twarda / 2010 / 632 str.

Stephen J. Guastello;Robert A.M. Gregson;¬Abar

Opis

Although its roots can be traced to the 19^th century, progress in the study of nonlinear dynamical systems has taken off in the last 30 years. While pertinent source material exists, it is strewn about the literature in mathematics, physics, biology, economics, and psychology at varying levels of accessibility. A compendium research methods reflecting the expertise of major contributors to NDS psychology, Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data examines the techniques proven to be the most useful in the behavioral sciences. The editors have brought together constructive work on new practical examples of methods and application built on nonlinear dynamics. They cover dynamics such as attractors, bifurcations, chaos, fractals, catastrophes, self-organization, and related issues in time series analysis, stationarity, modeling and hypothesis testing, probability, and experimental design. The analytic techniques discussed include several variants of the fractal dimension, several types of entropy, phase-space and state-space diagrams, recurrence analysis, spatial fractal analysis, oscillation functions, polynomial and Marquardt nonlinear regression, Markov chains, and symbolic dynamics. The book outlines the analytic requirements faced by social scientists and how they differ from those of mathematicians and natural scientists. It includes chapters centered on theory and procedural explanations for running the analyses with pertinent examples and others that illustrate applications where a particular form of analysis is seen in the context of a research problem. This combination of approaches conveys theoretical and practical knowledge that helps you develop skill and expertise in framing hypotheses dynamically and building viable analytic models to test them.

Recenzje

"By considering systems as nonlinear and by considering the ways in which this nonlinearity can be described, the book offers new ways for Ergonomists to reflect on the central focus of its endeavour, i.e. the ‘system’. As Ergonomics evolves into its twenty-first-century manifestation, it needs to develop and refine its concept of how systems operate. This book provides the foundation for that development and should be required reading for anyone who uses the word ‘system’ in their discussion of Ergonomics."
—Chris Baber, School of Electronic, Electrical and Systems, Engineering University of Birmingham, in Ergonomics, 2014

Spis treści

Determining Basic NDS Indicators. Graphic Techniques: Phase Space Analysis, Unfolding, And Recurrence Plots. Graphic Techniques: Phase Space Analysis, Unfolding, And Recurrence Plots. Statistically Driven Techniques. Markov Processes. Broad Issues.

O autorze

Stephen Gaustello is a professor of Psychology at Marquette University, in Milwaukee Wisconsin.