Fractals in Engineering

Author: Jacques Levy Vehel
Publisher: Springer Science & Business Media
ISBN: 1447109953
Format: PDF, ePub
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Fractal analysis research is expanding into a variety of engineering domains. The strong potential of this work is now beginning to be seen in important applications in real industrial situations. Recent research progress has already led to new developments in domains such as signal processing and chemical engineering, and the major advances in fractal theory that underlie such developments are detailed here. New domains of applications are also presented, among them environmental science and rough surface analysis. Sections include multifractal analysis, iterated function systems, random processes, network traffic analysis, fractals and waves, image compression, and applications in physics. Fractals in Engineering emphasizes the connection between fractal analysis research and applications to industry. It is an important volume that illustrates the scientific and industrial value of this exciting field.

Chaos and Fractals in Engineering

Author: Masao Nakagawa
Publisher: World Scientific
ISBN: 9789810238339
Format: PDF, Kindle
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This book is written for all engineers, graduate students and beginners working in the application fields, and for experimental scientists in general. It is not presented as a purely theoretical treatise but shows mathematics at a workshop, so to speak, through important applications originating in a deep pure mathematical theory. Widely spread subjects which the author has encountered hitherto are briefly addressed in the book, as chaos and fractal science is a frontier of new research fields nowadays.

Fractals in Reservoir Engineering

Author: H. H. Hardy
Publisher: World Scientific
ISBN: 9789810220693
Format: PDF, Docs
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Many natural objects have been found to be fractal and fractal mathematics has been used to generate many beautiful ?nature? scenes. Fractal mathematics is used in image compression and for movies and is now becoming an engineering tool as well. This book describes the application of fractal mathematics to one engineering specialty ? reservoir engineering. This is the process of engineering the production of oil and gas. The reservoir engineer's job is to design and predict production from underground oil and gas reservoirs. The successful application of fractal mathematics to this engineering discipline should be of interest, not only to reservoir engineers, but to other engineers with their own potential applications as well. Geologists will find surprisingly good numerical descriptions of subsurface rock distributions. Physicists will be interested in the application of renormalization and percolation theory described in the book. Geophysicists will find the description of fluid flow scaling problems faced by the reservoir engineer similar to their problems of scaling the transport of acoustic signals.

Fractals and Disordered Systems

Author: Armin Bunde
Publisher: Springer Science & Business Media
ISBN: 3642514359
Format: PDF, ePub
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Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses, and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In 10 chapters written by leading experts in the field, including E. Stanley and B. Mandelbrot, the reader is introduced to basic concepts and techniques in disordered systems and is lead to the forefront of current research. In each chapter the connection between theory and experiment is emphasized, and a special chapter entitled "Fractals and Experiments" presents experimental studies of fractal systems in the laboratory. The book is written pedagogically. It can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.

Design and Realizations of Miniaturized Fractal Microwave and RF Filters

Author: Pierre Jarry
Publisher: John Wiley & Sons
ISBN: 047048781X
Format: PDF, Kindle
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An in-depth survey of the design and REALIZATIONS ofminiaturized fractal microwave and RF filters Engineers are continually searching for design methods that cansatisfy the ever-increasing demand for miniaturization, accuracy,reliability, and fast development time. Design and Realizations ofMiniaturized Fractal RF and Microwave Filters provides RF andmicrowave engineers and researchers, advanced graduate students,and wireless and telecommunication engineers with the knowledge andskills to design and realize miniaturized fractal microwave and RFfilters. This book is an essential resource for the realization ofportable and cellular phones, WiFi, 3G and 4G, and satellitenetworks. The text focuses on the synthesis and fabrication ofminiaturized fractal filters with symmetrical and asymmetricalfrequency characteristics in the C, X and Ku bands, thoughapplications to other frequency bands are considered. Readers willfind helpful guidance on: Miniaturized filters in bilevel fashion Simplified methods for the synthesis of pseudo-ellipticelectrical networks Methods for extracting coupling coefficients and externalquality factors from simulations of the RF/microwave structure Methods for matching theoretical couplings to couplings ofstructure Including studies of the real-world performance of fractalresonators and sensitivity analyses of suspended substraterealizations, this is a definitive resource for both practicingengineers and students who need timely insight on fractalresonators for compact and low-power microwave and RFapplications.

Analysis and Probability

Author: Palle E. T. Jorgensen
Publisher: Springer Science & Business Media
ISBN: 0387330828
Format: PDF, ePub, Mobi
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Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous exercises reinforce fundamental concepts and hone computational skills Separate sections explain engineering terms to mathematicians and operator theory to engineers Fills a gap in the literature

Fractals and Scaling in Finance

Author: Benoit B. Mandelbrot
Publisher: Springer Science & Business Media
ISBN: 1475727631
Format: PDF, Mobi
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Mandelbrot is world famous for his creation of the new mathematics of fractal geometry. Yet few people know that his original field of applied research was in econometrics and financial models, applying ideas of scaling and self-similarity to arrays of data generated by financial analyses. This book brings together his original papers as well as many original chapters specifically written for this book.

Fractal Surfaces

Author: John C. Russ
Publisher: Springer Science & Business Media
ISBN: 1489925783
Format: PDF, Docs
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The author integrates discussions of fractal geometry, surface modeling techniques, and applications to real world problems to provide a comprehensive, accessible overview of the field. His work will equip researchers with the basic tools for measurement and interpretation of data, stimulating more work on these problems and, perhaps, leading to an understanding of the reasons that Nature has adopted this geometry to shape much of our world.

Fractals in Rock Mechanics

Author: Heping Xie
Publisher: CRC Press
ISBN: 9789054101338
Format: PDF, Docs
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Important developments in the progress of the theory of rock mechanics during recent years are based on fractals and damage mechanics. The concept of fractals has proved to be a useful way of describing the statistics of naturally occurring geometrics. Natural objects, from mountains and coastlines to clouds and forests, are found to have boundaries best described as fractals. Fluid flow through jointed rock masses and clusterings of earthquakes are found to follow fractal patterns in time and space. Fracturing in rocks at all scales, from the microscale (microcracks) to the continental scale (megafaults), can lead to fractal structures. The process of diagenesis and pore geometry of sedimentary rock can be quantitatively described by fractals, etc. The book is mainly concerned with these developments, as related to fractal descriptions of fragmentations, damage and fracture of rocks, rock burst, joint roughness, rock porosity and permeability, rock grain growth, rock and soil particles, shear slips, fluid flow through jointed rocks, faults, earthquake clustering, and so on. The prime concerns of the book are to give a simple account of the basic concepts, methods of fractal geometry, and their applications to rock mechanics, geology, and seismology, and also to discuss damage mechanics of rocks and its application to mining engineering. The book can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.