Fractals And Chaos In Geology And Geophysics
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Author | : Donald L. Turcotte |
Publisher | : Cambridge University Press |
Total Pages | : 412 |
Release | : 1997-07-13 |
Genre | : Science |
ISBN | : 9780521561648 |
Now in a greatly expanded second edition, this book relates fractals and chaos to a variety of geological and geophysical applications and introduces the fundamental concepts of fractal geometry and chaotic dynamics. In this new edition, Turcotte expands coverage of self-organized criticality and includes statistics and time series to provide a broad background for the reader. Topics include drainage networks and erosion, floods, earthquakes, mineral and petroleum resources, fragmentation, mantle convection, and magnetic field generation. The author introduces all concepts at the lowest possible level of mathematics consistent with their understanding, so that the reader requires only a background in basic physics and mathematics. He includes problems for the reader to solve. This book will appeal to a broad range of readers interested in complex natural phenomena.
Author | : Donald L. Turcotte |
Publisher | : Cambridge University Press |
Total Pages | : 424 |
Release | : 1997-07-13 |
Genre | : Mathematics |
ISBN | : 9780521567336 |
The fundamental concepts of fractal geometry and chaotic dynamics, along with the related concepts of multifractals, self-similar time series, wavelets, and self-organized criticality, are introduced in this book, for a broad range of readers interested in complex natural phenomena. Now in a greatly expanded, second edition, this book relates fractals and chaos to a variety of geological and geophysical applications. All concepts are introduced at the lowest possible level of mathematics consistent with their understanding, so that the reader requires only a background in basic physics and mathematics.
Author | : Donald Lawson Turcotte |
Publisher | : |
Total Pages | : 221 |
Release | : 1992 |
Genre | : Chaotic behavior in systems |
ISBN | : |
Author | : Charles G. Sammis |
Publisher | : Birkhauser |
Total Pages | : 175 |
Release | : 1993 |
Genre | : Science |
ISBN | : 9780817628789 |
Author | : V.P. Dimri |
Publisher | : CRC Press |
Total Pages | : 254 |
Release | : 2000-01-01 |
Genre | : Science |
ISBN | : 9789054102847 |
This text examines the emerging field of fractals and its applications in earth sciences. Topics covered include: concepts of fractal and multifractal chaos; the application of fractals in geophysics, geology, climate studies, and earthquake seismology.
Author | : SAMMIS |
Publisher | : Birkhäuser |
Total Pages | : 183 |
Release | : 2013-11-22 |
Genre | : Science |
ISBN | : 3034861915 |
Author | : Jörn H. Kruhl |
Publisher | : Springer Science & Business Media |
Total Pages | : 411 |
Release | : 2013-06-29 |
Genre | : Science |
ISBN | : 3662073048 |
Fractal geometry allows the description of natural patterns and the establishment and testing of models of pattern formation. In particular, it is a tool for geoscientists. The aim of this volume is to give an overview of the applications of fractal geometry and the theory of dynamic systems in the geosciences. The state of the art is presented and the reader obtains an impression of the variety of fields for which fractal geometry is a useful tool and of the different methods of fractal geometry which can be applied. In addition to specific information about new applications of fractal geometry in structural geology, physics of the solid earth, and mineralogy, proposals and ideas about how fractal geometry can be applied in the reader's field of studies will be put forward.
Author | : SCHOLZ |
Publisher | : Birkhäuser |
Total Pages | : 312 |
Release | : 2013-11-22 |
Genre | : Science |
ISBN | : 3034863896 |
Reprint from Pure and Applied Geophysics (PAGEOPH), Volume 131 (1989), No. 1
Author | : Emiliano Oriol |
Publisher | : |
Total Pages | : 292 |
Release | : 2016-08-01 |
Genre | : |
ISBN | : 9781681175164 |
The fractal analysis is becoming a very convenient tool to process obtained data from chaotic systems in geosciences. It can be used to resolve many ambiguities in this field. Fractal analysis is an up-to-date method of applying nontraditional mathematics to patterns that defy understanding with traditional Euclidean concepts. Fractal analysis is measuring fractal characteristics of data. It entails several methods to assign a fractal dimension and other fractal characteristics to a dataset which may be a theoretical dataset or a pattern or signal extracted from phenomena including natural geometric objects, sound, market fluctuations, heart rates, digital images, molecular motion, networks, etc. Fractal analysis is now widely used in all areas of science. An important limitation of fractal analysis is that arriving at an empirically determined fractal dimension does not necessarily prove that a pattern is fractal; rather, other essential characteristics have to be considered. Fractals are not necessarily physical forms - they can be spatial or temporal patterns, as well. In general, fractals can be any type of infinitely scaled and repeated pattern. In this regard, it is important to be aware that theoretical fractals are abstractions, but the subjects of fractal analysis, such as digital images limited by screen resolution, are generally not true fractals in the strictest sense. Similarly, the so-called fractals typically found in nature are not substantially scaled, thus, like finite computer generated patterns, are generally only approximations to fractals in the strictest sense. This book entitled Fractal Analysis and Chaos in Geosciences emphasis on recent applications of the fractal/mutifractal analysis in geosciences and will be an immense valuable tool for researchers and students from universities. The book relates fractals and chaos to assortment of geological and geophysical applications and presents the essential concepts of fractal geometry and chaotic dynamics.
Author | : |
Publisher | : |
Total Pages | : 313 |
Release | : 1989 |
Genre | : Fractals |
ISBN | : |