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Dynamical Cognitive Science

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ISBN-10: 0262232170

ISBN-13: 9780262232173

Edition: 2001

Authors: Lawrence M. Ward

List price: $11.75
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Description:

Dynamical Cognitive Science makes available to the cognitive science community the analytical tools and techniques of dynamical systems science, adding the variables of change and time to the study of human cognition. The unifying theme is that human behavior is an "unfolding in time" whose study should be augmented by the application of time-sensitive tools from disciplines such as physics, mathematics, and economics, where change over time is of central importance. The book provides a fast-paced, comprehensive introduction to the application of dynamical systems science to the cognitive sciences. Topics include linear and nonlinear time series analysis, chaos theory, complexity theory, relaxation oscillators, and metatheoretical issues of modeling and theory building. Tools and techniques are discussed in the context of their application to basic cognitive science problems, including perception, memory, psychophysics, judgment and decision making, and consciousness. The final chapter summarizes the contemporary study of consciousness and suggests how dynamical approaches to cognitive science can help to advance our understanding of this central concept.
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Book details

List price: $11.75
Copyright year: 2001
Publisher: MIT Press
Publication date: 12/21/2001
Binding: Hardcover
Pages: 372
Size: 6.25" wide x 9.00" long x 1.00" tall
Weight: 1.628
Language: English

Lawrence M. Ward is Professor of Psychology at the University of British Columbia.

Preface
Magic, Ritual, and Dynamics
Magic and Ritual
Dynamics
Sequence
The Serial Universe
The Problem of Serial Order in Behavior
Markovian Analysis of Behavior
Rhythms of Behavior
The Dance of Life
Music and Rhythm
Rhythms in the Brain
Time
Space-Time
The Arrow of Time
Measuring Time
Cognitive Processes and Time
Temporal Unfolding of Cognitive Behavior
Timing of Cognitive Behavior
Memory
Systems and General Systems Theory
Systems
General Systems Theory
Dynamical Systems Theory
Science and Theory
The Mandala of Science
Formal Theories
Principle of Complementarity
Dynamical versus Statical Models
Theories, Models, and Data
Statical Models
Dynamical Models
Why We Need Both Statical and Dynamical Models
Dynamical and Structural Models
Structural Models
Graph Theory
Interplay between Dynamical and Structural Models
Deterministic versus Stochastic Dynamical Models
Deterministic Models
Stochastic Models
Do We Need Both?
Linear Time Series Analysis
Time Series and Noise
ARIMA (p,d,q)
ARIMA Model of Time Estimation
Mixed Regression-ARIMA Model of Psychophysical Judgment
Probability Theory and Stochastic Models
Dynamical Cognitive Science and Mathematics
Stochastic Processes: A Random Walk to Ruin
Critical Points in Stochastic Models
Ergodicity and the Markov Property
Stochastic Models in Physics
The Master Equation
Quantum Physics
Complementarity Redux
Noise
What Is Noise?
Probabilistic Description of Noise
Spectral Properties of Noise
Colored Noise
The Ubiquity of Colored Noise
The Vicissitudes of the Exponent [alpha]
Colored Noise in Living Systems
1/f Noise in Human Cognition
Music and Time Perception
Reaction Time
1/f Noise in the Brain
Neural Activity
Magnetoencephalogram Recordings
Electroencephalogram and Event-Related Potential Recordings
Models of 1/f Noise
The Simplest Case
Multiplicative Noise
Self-Organized Criticality
Center-Surround Neural Network
Statistical Theory of 1/f Noise
What Must Be Explained
Queuing in a Wire
Arima (1, 0, 0)
Multifractals and Wild Self-Affinity
Stochastic Resonance
What is Stochastic Resonance?
Stochastic Resonance in a Threshold Detector
Stochastic Resonance and Perception
Detection of Weak Signals by Animals
Stochastic Resonance in Human Perception
Stochastic Resonance in the Brain
Stochastic Resonance in Neurons
Neural Networks
Chaos
Chaos Is Not What You Think It Is
What Chaos Really Is
Phase Space Drawings and Strange Attractors
Chaos and Randomness
A Random Walk through the Logistic Difference Equation
Dimensionality of an Attractor
Chaos and Noise
Nonlinear Time Series Analysis
State Space Reconstruction
Out-of-Sample Forecasting
Surrogate Data
Chaos in Human Behavior?
Could Unexplained Variance Be Chaos?
Nonlinear Forecasting Analysis of Time Estimation
Nonlinear Analysis of Mental Illness
Memory and the Logistic Difference Equation
Chaos in the Brain?
The Smell of Chaos
Dimensionality of the Electroencephalogram
Chaotic Event-Related Potentials?
Perception of Sequence
The Gambler's Fallacy
Estimation of Short-Run Probabilities
Evolution of Contingency Perception
Can People Behave Randomly?
No!
Sometimes
Sequential Dependencies and Extrasensory Perception
Can People Behave Chaotically?
Yes!
Not Really
Heuristics and Chaos
Relaxation Oscillators: A Foundation for Dynamical Modeling
A Brief Taxonomy of Oscillators
The van der Pol Relaxation Oscillator
Noisy Oscillators in the Brain
Evolution and Ecology of Cognition
Evolution of Cognition
Ecology of Cognition
Dynamical Cognitive Neuroscience
Brain Imaging
Brain Dynamics
Hybrid Models
Dynamical Computation
Numerical Methods
Neural Network Models
Exotic Computers
Dynamical Consciousness
Consciousness
Unity of Science
References
Index