Fractals and Chaos in the Earth Sciences
Author | : SAMMIS |
Publisher | : Birkhäuser |
Total Pages | : 183 |
Release | : 2013-11-22 |
Genre | : Science |
ISBN | : 3034861915 |
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Author | : SAMMIS |
Publisher | : Birkhäuser |
Total Pages | : 183 |
Release | : 2013-11-22 |
Genre | : Science |
ISBN | : 3034861915 |
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 | : 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 | : 9780521412704 |
This book introduces the fundamental concepts of fractal geometry and chaotic dynamics. These concepts are then related to a variety of geological and geophysical problems, illustrating just what chaos theory and fractals really tell us and how they can be applied to the earth sciences. Petroleum and mineral reserves, earthquakes, mantle convection and magnetic field generation are among the earth's properties that come under scrutiny. This is the first book that covers these topics at an accessible level; the concepts are introduced at the lowest possible level of mathematics and are consistently understandable, so that the reader requires only a background in basic physics and mathematics. Problems are also included for the reader to solve.
Author | : C.C. Barton |
Publisher | : Springer Science & Business Media |
Total Pages | : 277 |
Release | : 2013-06-29 |
Genre | : Technology & Engineering |
ISBN | : 1489913971 |
Fractals have changed the way we understand and study nature. This change has been brought about mainly by the work of B. B. Mandelbrot and his book The Fractal Geometry of Nature. Now here is a book that collects articles treating fractals in the earth sciences. The themes chosen span, as is appropriate for a discourse on fractals, many orders of magnitude; including earthquakes, ocean floor topography, fractures, faults, mineral crystallinity, gold and silver deposition. There are also chapters on dynamical processes that are fractal, such as rivers, earthquakes, and a paper on self-organized criticality. Many of the chapters discuss how to estimate fractal dimensions, Hurst exponents, and other scaling exponents. This book, in a way, represents a snapshot of a field in which fractals has brought inspiration and a fresh look at familiar subjects. New ideas and attempts to quantify the world we see around us are found throughout. Many of these ideas will grow and inspire further work, others will be superseded by new observations and insights, most probably with future contributions by the authors of these chapters.
Author | : Armin Bunde |
Publisher | : Springer |
Total Pages | : 317 |
Release | : 2013-12-21 |
Genre | : Science |
ISBN | : 3642779530 |
A deeply detailed discussion of fractals in biology, heterogeneous chemistry, polymers, and the earth sciences. Beginning with a general introduction to fractal geometry it continues with eight chapters on self-organized criticality, rough surfaces and interfaces, random walks, chemical reactions, and fractals in chemisty, biology, and medicine. A special chapter entitled "Computer Exploration of Fractals, Chaos, and Cooperativity" presents computer demonstrations of fractal models: 14 programs are included on a 3 1/2" MS-DOS diskette which run on any PC with at least 1 MB RAM and a EGA or VGA graphics card, 16 colors.
Author | : Didier Sornette |
Publisher | : Springer Science & Business Media |
Total Pages | : 445 |
Release | : 2013-04-17 |
Genre | : Science |
ISBN | : 366204174X |
A modern up-to-date introduction for readers outside statistical physics. It puts emphasis on a clear understanding of concepts and methods and provides the tools that can be of immediate use in applications.
Author | : A.J. Crilly |
Publisher | : Springer Science & Business Media |
Total Pages | : 278 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461230349 |
This volume is based upon the presentations made at an international conference in London on the subject of 'Fractals and Chaos'. The objective of the conference was to bring together some of the leading practitioners and exponents in the overlapping fields of fractal geometry and chaos theory, with a view to exploring some of the relationships between the two domains. Based on this initial conference and subsequent exchanges between the editors and the authors, revised and updated papers were produced. These papers are contained in the present volume. We thank all those who contributed to this effort by way of planning and organisation, and also all those who helped in the production of this volume. In particular, we wish to express our appreciation to Gerhard Rossbach, Computer Science Editor, Craig Van Dyck, Production Director, and Nancy A. Rogers, who did the typesetting. A. J. Crilly R. A. Earnshaw H. Jones 1 March 1990 Introduction Fractals and Chaos The word 'fractal' was coined by Benoit Mandelbrot in the late 1970s, but objects now defined as fractal in form have been known to artists and mathematicians for centuries. Mandelbrot's definition-"a set whose Hausdorff dimension is not an integer" -is clear in mathematical terms. In addition, related concepts are those of self-similarity and sub-divisibility. A fractal object is self-similar in that subsections of the object are similar in some sense to the whole object.
Author | : Tom G. Blenkinsop |
Publisher | : Birkhäuser |
Total Pages | : 286 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3034884303 |
Concepts and methods of fractal geometry penetrate various branches of human knowledge to an increasing degree. This tendency is particularly striking in the geosciences, because many processes occurring in and on the Earth result in time dependences and spatial patterns that have a fractal character. The contributions in this volume arose from the "3rd International Symposium on Fractals and Dynamic Systems in Geosciences", held at Stara Lesna, Slovakia in June, 1997. The volume contains new ideas and applications of fractal geometry in such diverse branches of geoscience as engineering geology, the physics of the lithosphere (including faulting, seismicity, and fluid flow), and climate behavior.