Fractals In Engineering

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Fractals in Engineering

Author : Jacques Levy Vehel,Evelyne Lutton,Claude Tricot
Publisher : Springer
Page : 402 pages
File Size : 50,6 Mb
Release : 2011-09-15
Category : Computers
ISBN : 1447112539

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Fractals in Engineering by Jacques Levy Vehel,Evelyne Lutton,Claude Tricot Pdf

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.

Fractals in Engineering

Author : Jacques Levy Vehel,Evelyne Lutton,Claude Tricot
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447109952

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Fractals in Engineering by Jacques Levy Vehel,Evelyne Lutton,Claude Tricot Pdf

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.

Fractals in Engineering

Author : Jacques Lévy-Véhel,Evelyne Lutton
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 42,7 Mb
Release : 2005-12-06
Category : Technology & Engineering
ISBN : 9781846280481

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Fractals in Engineering by Jacques Lévy-Véhel,Evelyne Lutton Pdf

The application of fractals in the engineering sciences is evolving swiftly and the editors have turned to Springer for the third time to bring you the latest research emerging from the rapid growth in techniques available for the employment of the ideas of fractals and complexity to a variety of disciplines in and associated with the engineering field. The strong potential of this research can be seen in real industrial situations with recent progress being made in areas such as chemical engineering, internet traffic, physics and finance. Image processing continues to be a major field of application for fractal analysis and is well-represented here. It is important to note that the applications models are presented with a firm basis in theoretical argument, the qualitative observation of fractal phenomena no longer being sufficient. Consisting of papers written by a world-wide pool of experts, the multidisciplinary approach of this third volume will be of particular interest to industrial researchers and practitioners as well as to academics from many backgrounds. Fractals in Engineering: New Trends in Theory and Applications continues the publication of engineering-related research in fractal techniques begun in Fractals in Engineering and Fractals: Theory and Applications in Engineering (Springer London 1997 and 1999).

Chaos and Fractals in Engineering

Author : Masao Nakagawa
Publisher : World Scientific
Page : 960 pages
File Size : 43,6 Mb
Release : 1999
Category : Mathematics
ISBN : 9810238339

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Chaos and Fractals in Engineering by Masao Nakagawa Pdf

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,Richard A. Beier
Publisher : World Scientific
Page : 390 pages
File Size : 50,8 Mb
Release : 1994
Category : Technology & Engineering
ISBN : 9810220693

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Fractals in Reservoir Engineering by H. H. Hardy,Richard A. Beier Pdf

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: Theory and Applications in Engineering

Author : Michel Dekking,Jacques Lévy-Véhel,Evelyne Lutton,Claude Tricot
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447108733

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Fractals: Theory and Applications in Engineering by Michel Dekking,Jacques Lévy-Véhel,Evelyne Lutton,Claude Tricot Pdf

Owing to the rapid emergence and growth of techniques in the engineering application of fractals, it has become necessary to gather the most recent advances on a regular basis. This book is a continuation of the first volume - published in 1997 - but contains interesting developments. A major point is that mathematics has become more and more involved in the definition and use of fractal models. It seems that the time of the qualitative observation of fractal phenomena has gone. Now the main models are strongly based upon theoretical arguments. Fractals: Theory and Applications in Engineering is a multidisciplinary book which should interest every scientist working in areas connected to fractals.

Fractals in Engineering: Theoretical Aspects and Numerical Approximations

Author : Maria Rosaria Lancia,Anna Rozanova-Pierrat
Publisher : Springer Nature
Page : 173 pages
File Size : 40,9 Mb
Release : 2021-03-17
Category : Mathematics
ISBN : 9783030618032

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Fractals in Engineering: Theoretical Aspects and Numerical Approximations by Maria Rosaria Lancia,Anna Rozanova-Pierrat Pdf

Fractal structures or geometries currently play a key role in all models for natural and industrial processes that exhibit the formation of rough surfaces and interfaces. Computer simulations, analytical theories and experiments have led to significant advances in modeling these phenomena across wild media. Many problems coming from engineering, physics or biology are characterized by both the presence of different temporal and spatial scales and the presence of contacts among different components through (irregular) interfaces that often connect media with different characteristics. This work is devoted to collecting new results on fractal applications in engineering from both theoretical and numerical perspectives. The book is addressed to researchers in the field.

Fractals in Engineering

Author : Stephane Baldo,Francois Normant,Claude Tricot
Publisher : Unknown
Page : 286 pages
File Size : 49,5 Mb
Release : 1994
Category : Electronic
ISBN : OCLC:875495650

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Fractals in Engineering by Stephane Baldo,Francois Normant,Claude Tricot Pdf

Fractals in Engineering

Author : Stéphane Baldo,François Normant,Claude Tricot
Publisher : World Scientific Publishing Company Incorporated
Page : 286 pages
File Size : 40,7 Mb
Release : 1994
Category : Technology & Engineering
ISBN : 9810218354

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Fractals in Engineering by Stéphane Baldo,François Normant,Claude Tricot Pdf

Fractals In Engineering - Proceedings Of The Conference On Fractals In Engineering 94

Author : C Trico
Publisher : World Scientific
Page : 298 pages
File Size : 42,8 Mb
Release : 1995-01-16
Category : Electronic
ISBN : 9789814550574

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Fractals In Engineering - Proceedings Of The Conference On Fractals In Engineering 94 by C Trico Pdf

Fractal sets serve as excellent models in Physics, Chemistry, Biology and other fields. However, the actual applications of these fascinating models are often unknown even to specialists in fractal theories. The communication of the most recent results utilising fractal concepts in experimental and industrial engineering research was thus a major challenge discussed in the above conference.The resulting proceedings are organised around five main themes: Materials Processing, Flow, Natural Sciences, Signal and Image Analysis and Mathematical Methods. Almost 50 papers are included in this volume. Besides the classical topics, the book also introduces an important session on Fractal Signal and Image Analysis, a subject which is rapidly gaining recognition in computer science and engineering for its promising industrial applications.

Fractal Control Theory

Author : Shu-Tang Liu,Pei Wang
Publisher : Springer
Page : 293 pages
File Size : 53,5 Mb
Release : 2018-04-21
Category : Technology & Engineering
ISBN : 9789811070501

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Fractal Control Theory by Shu-Tang Liu,Pei Wang Pdf

This book focuses on the control of fractal behaviors in nonlinear dynamics systems, addressing both the principles and purposes of control. For fractals in different systems, it presents revealing studies on the theory and applications of control, reflecting a spectrum of different control methods used with engineering technology. As such, it will benefit researchers, engineers, and graduate students in fields of fractals, chaos, engineering, etc.

Fractals in Engineering

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 51,6 Mb
Release : 1997
Category : Engineering
ISBN : OCLC:1348969522

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Fractals in Engineering by Anonim Pdf

Fractals in Rock Mechanics

Author : Heping Xie
Publisher : CRC Press
Page : 472 pages
File Size : 50,8 Mb
Release : 2020-12-18
Category : Technology & Engineering
ISBN : 9781000150346

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Fractals in Rock Mechanics by Heping Xie Pdf

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.

Fractal Analysis

Author : Fernando Brambila
Publisher : BoD – Books on Demand
Page : 296 pages
File Size : 51,9 Mb
Release : 2017-06-14
Category : Mathematics
ISBN : 9789535131915

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Fractal Analysis by Fernando Brambila Pdf

Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.

Fractals in Science

Author : Armin Bunde,Shlomo Havlin
Publisher : Springer
Page : 317 pages
File Size : 47,9 Mb
Release : 2013-12-21
Category : Science
ISBN : 9783642779534

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Fractals in Science by Armin Bunde,Shlomo Havlin Pdf

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.