Classification and application of fractals : new research / Eric W. Mitchell and Scott R. Murray, editors.

Includes bibliographical references and index.

Print version record.

CLASSIFICATION AND APPLICATIONOF FRACTALS: NEW RESEARCH; CLASSIFICATION AND APPLICATIONOF FRACTALS: NEW RESEARCH; LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA; CONTENTS; PREFACE; Chapter 1: THE FRACTAL MODELS APPLICATION FOR NANOCOMPOSITES POLYMER/ORGANOCLAY STRUCTURE AND PROPERTIES DESCRIPTION; Abstract; Introduction; Structure of Nanocomposites Polymer/Organoclay; Mechanical Properties of Nanocomposites Polymer/Organoclay; The Structural Analysis of Nanocomposites Polymer/Organoclay Microhardness; The Fractal Model of Nanocomposites Polymer/Organoclay Thermal Stability.

Gas Transport Processes in Nanocomposites Polymer/OrganoclayNanocomposites Polymer/Organoclay Limiting Characteristics Prediction; References; Chapter 2: GENERALIZED RAUZY FRACTALS AND QUASIPERIODIC TILINGS; Abstract; Introduction; 1. Fractals, Substitutions, and Tilings; 2. Numeration Systems, Fractals, and Substitutions; 3. Tilings for Special Cubic Units; 4. Weak Parameterization; 5. Diffraction of Rauzy Points; 6. The Section Method for Q3 Tilings; 7. Strong Parameterization for the Tiling; 8. Layerwise Growth; 9. Coordination Sequences; 10. Complexity Function and Forcing.

11. Vertices of the Tiling and Their Parameters12. Fractal Boundaries; 13. Similarity Transformations of the Tilings; References; Chapter 3: ON THE FRACTAL CHARACTERIZATION OF ZOOPLANKTON MOTION: APPLICATIONS AND PERSPECTIVES; Abstract; Introduction; An Outline on Fractal Geometry; Fractals and Trajectories: A Critical Approach; Metric Comparison; Fractal Dimension of Zooplankton Swimming Trajectories; Conclusion; Acknowledgments; References; Chapter 4: NEW CONSIDERATIONS IN FRACTAL SPACE-TIME THEORY; Abstract; 1. Fractals and Their Approximation; 1.1. Purpose; 1.2. Basic Notations.

1.3. Fractal Approximation and Extension1.4. Self-Similarity; 1.5. Comments; 2. Games with Cantor's Dust; 3. Fractal Approximation of Motion. Scale Relativity Theory; 3.1. Fractal functions. Dilatation Operator; 3.2. Fractal Variables. The Genesis of the Scales; 3.3. Special Considerations in Fractal Dimension; 3.4. Special Considerations in the Fractal Dimension; Acknowledgments; References; Chapter 5: FRACTAL DIMENSION IN TIME DOMAIN: APPLICATION IN EEG-SIGNAL ANALYSIS; Abstract; Part I. Testing of Higuchi's Fractal Dimension Method; 1. Introduction; 2. Methods.

3. Testing Higuchi's Fractal Dimension Method4. Conclusion; Part II. Applications of Higuchi's Fractal Dimension Method; 1. Applications of Higuchi's Method to Sleep Study; 2. Applications of Higuchi's Method for Monitoring Depth of Anesthesia; 3. Applications of Higuchi's Method in Epilepsy Research; 4. Applications of Higuchi's Method for Studying of Evoked EEGduring Photo-Stimulation; Acknowledgments; References; Chapter 6: SIMULATION AND EVALUATION METHODS FOR THE DIMENSIONS OF FRACTAL STRUCTURES AND FRACTAL PROCESSES; Abstract; 1. Fractal Scaling in the Nature.

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