Machine generated contents note: 1. Fractals and Fractal Distributions 1 -- 1.1 The Fractal Dimension3 -- 1.2 Determining Fractal Dimensions8 -- 1.3 Fractal Distributions13 -- 1.4 Fractals or Fractal Distributions? 17 -- 1.5 Are Fractals Useful?19 -- 1.6 Where do Fractals Come From? 21 -- 2. Recogn
Self-Organized Criticality in Earth Systems
โ Scribed by Dr. Stefan Hergarten (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 2002
- Tongue
- English
- Leaves
- 282
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Self-organized criticality (SOC) has become a magic word in various scientific disciplines, it provides a framework for understanding complexity and scale invariance in systems showing irregular fluctuations. In the first years since Per Bak and his co-workers presented their seminal idea, more than 2000 papers on this topic have been published. Seismology has been a rich field in earth sciences where the SOC concept has already deepened understanding, but there seem to be many more examples in earth sciences where applying the SOC concept may be fruitful. After introducing the reader to the basics of fractals, chaos and SOC the book presents established and new applications of SOC in the earth sciences: earthquakes, forest fires, landslides and drainage networks.
โฆ Table of Contents
Front Matter....Pages I-IX
Fractals and Fractal Distributions....Pages 1-24
Recognizing Power-Law Distributions....Pages 25-40
Self-Affine Time Series....Pages 41-66
Deterministic Chaos....Pages 67-86
Self-Organized Criticality....Pages 87-108
The Forest-Fire Model โ Tuning and Universality....Pages 109-124
Earthquakes and Stick-Slip Motion....Pages 125-162
Landslides....Pages 163-188
Drainage Networks....Pages 189-234
SOC and Nothing Else?....Pages 235-252
Where do we Stand?....Pages 253-254
Back Matter....Pages 255-273
โฆ Subjects
Appl.Mathematics/Computational Methods of Engineering; Earth Sciences, general; Geophysics/Geodesy; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences; Geology
๐ SIMILAR VOLUMES
Journal. Open Academic Press. 2013 โ 496 p.<div class="bb-sep"></div>Introduction - Norma B. Crosby <br/>Theoretical Models of SOC Systems - Markus J. Aschwanden <br/>SOC and Fractal Geometry - R. T. James McAteer <br/>Percolation Models of Self-Organized Critical Phenomena - Alexander V. Milovanov
Self-organized criticality (SOC) maintains that complex behavior can develop spontaneously in certain multi-body systems whose dynamics vary abruptly. This is a clear and concise introduction to the field of self-organized criticality, and contains an overview of the main research results. The autho
Self-organized criticality (SOC) is based upon the idea that complex behavior can develop spontaneously in certain many-body systems whose dynamics vary abruptly. Researchers have observed characteristic general behavior in systems as diverse as earthquakes, sandpiles, and even biological evolution,