Elementary Introduction to Spatial and Temporal Fractals [E-Book] / by L. T. Fan, D. Neogi, M. Yashima.
Fractals play an important role in modeling natural phenomena and engineering processes. And fractals have a close connection to the concepts of chaotic dynamics. This monograph presents definitions, concepts, notions and methodologies of both spatial and temporal fractals. It addresses students and...
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Full text |
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| Personal Name(s): | Fan, L. T., author |
| Neogi, D., author / Yashima, M., author | |
| Imprint: |
Berlin, Heidelberg :
Springer,
1991
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| Physical Description: |
IX, 168 p. online resource. |
| Note: |
englisch |
| ISBN: |
9783642456909 |
| DOI: |
10.1007/978-3-642-45690-9 |
| Series Title: |
Lecture Notes in Chemistry ;
55 |
| Subject (LOC): |
- 1. Introduction
- 2. Fundamental Concepts and Definitions
- 3. Examples of Fractal Geometry
- 3.1 Cantor Set (0 < dF < 1)
- 3.2 Rugged Lines (1 < dF ? 2)
- 3.3 Irregular Surface (2 < dF ? 3)
- 3.4 Growth Processes
- 4. Fractals in Time
- 4.1 Change of Commodity Prices
- 4.2 Fractional Brownian Motion
- 4.3 Fractal Stochastic Processes
- 5. Fractals in Chaos
- 5.1 Quantification of Chaos
- 6. Epilog
- A1. Appendix 1: Perimeter Fractal Dimension of Char Particles from a Downdraft Gasifier Through Image Analysis
- A1.1 Theoretical
- A1.1.1 Perimeter Fractal Dimension
- Al.1.2 Geometrical Bases for Measurement
- A1.2 Experimental
- A1.2.1 Sample Generation
- A1.2.2 Sample Preparation
- A1.2.3 Measurement of Feret Diameter
- A1.2.4 Evaluation of Perimeter Fractal Dimension
- A1.3 Results and Discussion
- A1.3.1 Comparison with Other Methods
- A1.3.2 Evaluation of Various Methods
- A2. Appendix 2: Surface Fractal Dimension of Rice Hull-Derived Charcoal from a Fluidized-Bed Reactor
- A2.1 Theoretical
- A2.2 Experimental
- A2.3 Results and Discussion
- A3. Appendix 3: Fractal Analysis of Pressure Fluctuations in Multiphase Flow Systems
- A3.1 Theoretical
- A3.1.1 Discrete-time Fractional Noise
- A3.1.2 Rescaled Range Analysis
- A3.2 Experimental
- A3.2.1 Facilities
- A3.2.2 Measurements and Computations
- A3.3 Results and Discussion
- Nomenclature
- Literature Cited
- Author Index.