Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data

✍ Scribed by Gregson, Robert A.M.; Guastello, Stephen J

• Publisher: CRC Press
• Year: 2012
• Tongue: English
• Leaves: 616
• Series: EBL-Schweitzer
• Edition: Online-Ausg
• Category: Library

✦ Synopsis

Front cover; Contents; Preface; Editors; Contributors; Chapter 1. Introduction to Nonlinear Dynamical Systems Analysis; Body; Chapter 2. Principles of Time Series Analysis; Chapter 3. Frequency Distributions and Error Functions; Chapter 4. Phase Space Analysis and Unfolding; Chapter 5. Nonlinear Dynamical Analysis of Noisy Time Series; Chapter 6. The Effects of the Irregular Sample and Missing Data in Time Series Analysis; Chapter 7. A Dynamical Analysis via the Extended-Return-Map; Chapter 8. Adjusting Behavioral Methods When Applying Nonlinear Dynamical Measures to Stimulus Rates.

Chapter 9. EntropyChapter 10. Analysis of Recurrence: Overview and Application to Eye-Movement Behavior; Chapter 11. Discontinuities and Catastropheswith Polynomial Regression; Chapter 12. Nonlinear Regression and Structural Equations; Chapter 13. Catastrophe Models with Nonlinear Regression; Chapter 14. Catastrophe Model for the Prospect-Utility Theory Question; Chapter 15. Measuring the Scaling Properties of Temporal and Spatial Patterns: From the Human Eye to the Foraging Albatross; Chapter 16. Oscillators with Differential Equations.

Chapter 17. Markov Chains for Identifying Nonlinear DynamicsChapter 18. Markov Chain Example: Transitions between Two Pictorial Attractors; Chapter 19. Identifying Ill-Behaved Nonlinear Processes without Metrics: Use of Symbolic Dynamics; Chapter 20. Information Hidden in Signals and Macromolecules: Symbolic Time-Series Analysis; Chapter 21. Orbital Decomposition: Identification of Dynamical Patterns in Categorical Data; Chapter 22. Orbital Decomposition for Multiple Time-Series Comparisons; Chapter 23. The Danger of Wishing for Chaos.

Chapter 24. Methodological Issues in the Application of Monofractal Analyses in Psychological and Behavioral ResearchChapter 25. Frontiers of Nonlinear Methods; Back cover.

""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. Read more...

Abstract:

Compiling research methods and reflecting the expertise of the major contributors to NDS psychology, this book examines the techniques that have proven to be most useful in the behavioral sciences. It is designed to develop skill and expertise in framing hypotheses dynamically and in building viable analytic models to test them. Read more...

✦ Table of Contents

Content: Introduction to Nonlinear Dynamical Systems Analysis, R.A.M. Gregson and S.J. Guastello Principles of Time Series Analysis, R.A.M. Gregson Frequency Distributions and Error Functions, S.J. Guastello Phase Space Analysis and Unfolding, M. Shelhamer Nonlinear Dynamical Analysis of Noisy Time Series, A. Heathcote and D. Elliott The Effects of the Irregular Sample and Missing Data in Time Series Analysis, D.M. Kreindler and C.J. Lumsden A Dynamical Analysis via the Extended-Return-Map, J.-S. Li, J. Krauth, and J.P. Huston Adjusting Behavioral Methods When Applying Nonlinear Dynamical Measures to Stimulus Rates, B.B. Frey Entropy, S.J. Guastello Analysis of Recurrence: Overview and Application to Eye-Movement Behavior, D.J. Aks Discontinuities and Catastrophes with Polynomial Regression, S.J. Guastello Nonlinear Regression and Structural Equations, S.J. Guastello Catastrophe Models with Nonlinear Regression, S.J. Guastello Catastrophe Model for the Prospect-Utility Theory Question, T.A. Oliva and S.R. McDade Measuring the Scaling Properties of Temporal and Spatial Patterns: From the Human Eye to the Foraging Albatross, M.S. Fairbanks and R.P. Taylor Oscillators with Differential Equations, J. Butner and T.N. Story Markov Chains for Identifying Nonlinear Dynamics, S.J. Merrill Markov Chain Example: Transitions between Two Pictorial Attractors, R.A.M. Gregson Identifying Ill-Behaved Nonlinear Processes without Metrics: Use of Symbolic Dynamics, R.A.M. Gregson Information Hidden in Signals and Macromolecules I: Symbolic Time-Series Analysis, M.A. Jimenez-Montano, R. Feistel, and O. Diez-Martinez Orbital Decomposition: Identification of Dynamical Patterns in Categorical Data, S.J. Guastello Orbital Decomposition for Multiple Time-Series Comparisons, D. Pincus, D.L. Ortega, and A.M. Metten The Danger of Wishing for Chaos, P.E. McSharry Methodological Issues in the Application of Monofractal Analyses in Psychological and Behavioral Research, D. Delignieres, K. Torre, and L. Lemoine Frontiers of Nonlinear Methods, R.A.M. Gregson Index