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Author: Arvind Kumar
Publisher: NBT India
Published: 2002
Total Pages: 206
ISBN-13: 9788123715964
DOWNLOAD EBOOK →The leaking tap in our bathroom exhibits chaos, the bronchial network of our lungs has a fractal structureand all of us are marvellous self-organising systems of nature.In a lucid and non technical account the book explains some of these pioneering ideas that are destined to cultivate in a new non- linear science of the next century.
Author: Didier Sornette
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 445
ISBN-13: 366204174X
DOWNLOAD EBOOK →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: Jan Walleczek
Publisher: Cambridge University Press
Published: 2006-04-20
Total Pages: 444
ISBN-13: 1139427598
DOWNLOAD EBOOK →The growing impact of nonlinear science on biology and medicine is fundamentally changing our view of living organisms and disease processes. This book introduces the application to biomedicine of a broad range of interdisciplinary concepts from nonlinear dynamics, such as self-organization, complexity, coherence, stochastic resonance, fractals and chaos. It comprises 18 chapters written by leading figures in the field and covers experimental and theoretical research, as well as the emerging technological possibilities such as nonlinear control techniques for treating pathological biodynamics, including heart arrhythmias and epilepsy. This book will attract the interest of professionals and students from a wide range of disciplines, including physicists, chemists, biologists, sensory physiologists and medical researchers such as cardiologists, neurologists and biomedical engineers.
Author: Per Bak
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 229
ISBN-13: 1475754264
DOWNLOAD EBOOK →Self-organized criticality, the spontaneous development of systems to a critical state, is the first general theory of complex systems with a firm mathematical basis. This theory describes how many seemingly desperate aspects of the world, from stock market crashes to mass extinctions, avalanches to solar flares, all share a set of simple, easily described properties. "...a'must read'...Bak writes with such ease and lucidity, and his ideas are so intriguing...essential reading for those interested in complex systems...it will reward a sufficiently skeptical reader." -NATURE "...presents the theory (self-organized criticality) in a form easily absorbed by the non-mathematically inclined reader." -BOSTON BOOK REVIEW "I picture Bak as a kind of scientific musketeer; flamboyant, touchy, full of swagger and ready to join every fray... His book is written with panache. The style is brisk, the content stimulating. I recommend it as a bracing experience." -NEW SCIENTIST
Author: Donald L. Turcotte
Publisher: Cambridge University Press
Published: 1997-07-13
Total Pages: 424
ISBN-13: 9780521567336
DOWNLOAD EBOOK →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: Stefan Hergarten
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 288
ISBN-13: 3662043904
DOWNLOAD EBOOK →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 10 years after Per Bak and his co-workers presented their seminal idea, more than 2000 papers on this topic appeared. Seismology has been a field in earth sciences where the SOC concept has already deepened the understanding, but there seem to be much more examples in earth sciences where applying the SOC concept may be fruitful. After introducing the reader into the basics of fractals, chaos and SOC, the book presents established and new applications of SOC in earth sciences, namely earthquakes, forest fires, landslides and drainage networks.
Author: Donald Lawson Turcotte
Publisher: National Academies Press
Published: 2002
Total Pages: 385
ISBN-13: 0309082854
DOWNLOAD EBOOK →Author: Armin Bunde
Publisher: Springer
Published: 2013-12-21
Total Pages: 317
ISBN-13: 3642779530
DOWNLOAD EBOOK →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: Juval Portugali
Publisher: Springer Science & Business Media
Published: 1999-11-22
Total Pages: 380
ISBN-13: 9783540654834
DOWNLOAD EBOOK →Second, by developing a new family of heuristic models and using them to study the issue of socio-cultural spatial segregation in cities. We term these models FACS model (Free Agents in a Cellular Space). Third, by developing a synergetic/pattern recognition theory of cities and of decision-making in the context of city planning."--BOOK JACKET.
Author: A.J. Crilly
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 278
ISBN-13: 1461230349
DOWNLOAD EBOOK →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.
