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