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Dimensions and Entropies in Chaotic Systems

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Cover of 'Dimensions and Entropies in Chaotic Systems'

Table of Contents

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    Book Overview
  2. Altmetric Badge
    Chapter 1 Introductory Remarks
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    Chapter 2 The Characterization of Fractal Measures as Interwoven Sets of Singularities: Global Universality at the Transition to Chaos
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    Chapter 3 Fractal Measures (Their Infinite Moment Sequences and Dimensions) and Multiplicative Chaos: Early Works and Open Problems
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    Chapter 4 On the Hausdorff Dimension of Graphs and Random Recursive Objects
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    Chapter 5 Chaos-Chaos Phase Transition and Dimension Fluctuation
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    Chapter 6 Hausdorff Dimensions for Sets with Broken Scaling Symmetry
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    Chapter 7 Scaling in Fat Fractals
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    Chapter 8 Lorenz Cross-Sections and Dimension of the Double Rotor Attractor
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    Chapter 9 On the Fractal Dimension of Filtered Chaotic Signals
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    Chapter 10 Efficient Algorithms for Computing Fractal Dimensions
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    Chapter 11 Using Mutual Information to Estimate Metric Entropy
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    Chapter 12 Intermediate Length Scale Effects in Lyapunov Exponent Estimation
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    Chapter 13 Comparison of Algorithms for Determining Lyapunov Exponents from Experimental Data
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    Chapter 14 A Measure of Chaos for Open Flows
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    Chapter 15 An Approach to Error-Estimation in the Application of Dimension Algorithms
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    Chapter 16 Invisible Errors in Dimension Calculations: Geometric and Systematic Effects
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    Chapter 17 Methods for Estimating the Intrinsic Dimsnionality of High-Dimensional Point Sets
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    Chapter 18 Characterizing Turbulent Channel Flow
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    Chapter 19 Characterization of Chaotic Instabilities in an Electron-Hole Plasma in Germanium
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    Chapter 20 Instabilities, Turbulence, and the Physics of Fixed Points
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    Chapter 21 Determination of Attractor Dimension and Entropy for Various Flows: An Experimentalist’s Viewpoint
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    Chapter 22 Transition from Quasiperiodicity into Chaos in the Periodically Driven Conductivity of BSN Crystals
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    Chapter 23 Dimension and Entropy for Quasiperiodic and Chaotic Convection
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    Chapter 24 Experimental Study of the Attractor of a Driven Rayleigh-Bénard System
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    Chapter 25 Dimension Measurements from Cloud Radiance
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    Chapter 26 Chaos in Open Flow Systems
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    Chapter 27 Lasers and Brains: Complex Systems with Low-Dimensional Attractors
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    Chapter 28 Evidence of Chaotic Dynamics of Brain Activity During the Sleep Cycle
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    Chapter 29 Problems Associated with Dimensional Analysis of Electroencephalogram Data
Attention for Chapter 28: Evidence of Chaotic Dynamics of Brain Activity During the Sleep Cycle
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Chapter title
Evidence of Chaotic Dynamics of Brain Activity During the Sleep Cycle
Chapter number 28
Book title
Dimensions and Entropies in Chaotic Systems
Published by
Springer, Berlin, Heidelberg, January 1986
DOI 10.1007/978-3-642-71001-8_28
Book ISBNs
978-3-64-271003-2, 978-3-64-271001-8
Authors

A. Babloyantz, Babloyantz, A.