Although its roots can be traced to the 19th 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 reflect

chapter 1|16 pages

Introduction to Nonlinear Dynamical Systems Analysis

ByRobert A.M. Gregson and Stephen J. Guastello

chapter 2|16 pages

Principles of Time Series Analysis

ByRobert A.M. Gregson

chapter 3|40 pages

Frequency Distributions and Error Functions

ByStephen J. Guastello

chapter 4|30 pages

Phase Space Analysis and Unfolding

ByMark Shelhamer

chapter 5|32 pages

Nonlinear Dynamical Analysis of Noisy Time Series

ByAndrew Heathcote, David Elliott

chapter 6|24 pages

The Effects of the Irregular Sample and Missing Data in Time Series Analysis

ByDavid M. Kreindler, Charles J. Lumsden

chapter 7|24 pages

A Dynamical Analysis via the Extended-Return-Map

ByJay-Shake Li, Joachim Krauth, Joseph P. Huston

chapter 9|18 pages


ByStephen J. Guastello

chapter 11|30 pages

Discontinuities and Catastrophes with Polynomial Regression

ByStephen J. Guastello

chapter 12|24 pages

Nonlinear Regression and Structural Equations

ByStephen J. Guastello

chapter 13|14 pages

Catastrophe Models with Nonlinear Regression

ByStephen J. Guastello

chapter 14|22 pages

Catastrophe Model for the Prospect-Utility Theory Question

ByTerence A. Oliva, Sean R. McDade

chapter 16|34 pages

Oscillators with Differential Equations

ByJonathan Butner, T. Nathan Story

chapter 17|24 pages

Markov Chains for Identifying Nonlinear Dynamics

ByStephen J. Merrill

chapter 18|20 pages

Markov Chain Example: Transitions between Two Pictorial Attractors

ByRobert A.M. Gregson

chapter 20|30 pages

Information Hidden in Signals and Macromolecules: Symbolic Time-Series Analysis

ByMiguel A. Jiménez-Montaño, Rainer Feistel, Oscar Diez-Martínez

chapter 22|22 pages

Orbital Decomposition for Multiple Time-Series Comparisons

ByDavid Pincus, David L. Ortega, Annette M. Metten

chapter 23|20 pages

The Danger of Wishing for Chaos*

ByPatrick E. McSharry

chapter 24|24 pages

Methodological Issues in the Application of Monofractal Analyses in Psychological and Behavioral Research

ByDidier Delignières, Kjerstin Torre, Loïc Lemoine

chapter 25|19 pages

Frontiers of Nonlinear Methods

ByRobert A.M. Gregson