Dimensions and Entropies in Chaotic Systems

Table of Contents

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