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Fractal Modelling
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Book Synopsis Fractal Modelling by : Jaap A. Kaandorp
Download or read book Fractal Modelling written by Jaap A. Kaandorp and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, methods from fractal geometry are applied to model growth forms, taking as a case study a type of growth process which can be found among various taxonomic classes such as sponges and corals. These models can be used, for example, to understand the amazing variety of forms to be found in a coral reef and to simulate their growth with 2D and 3D geometrical objects. Models which mimic the growth of forms and the environmental influence on the growth process are also useful for ecologists, as a combination of simulation models together with the actual growth forms can be used to detect the effects of slow changes in the environment.
Book Synopsis Fractal-Based Methods in Analysis by : Herb Kunze
Download or read book Fractal-Based Methods in Analysis written by Herb Kunze and published by Springer Science & Business Media. This book was released on 2011-11-18 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of modeling the behaviour of phenomena at multiple scales has become a useful tool in both pure and applied mathematics. Fractal-based techniques lie at the heart of this area, as fractals are inherently multiscale objects; they very often describe nonlinear phenomena better than traditional mathematical models. In many cases they have been used for solving inverse problems arising in models described by systems of differential equations and dynamical systems. "Fractal-Based Methods in Analysis" draws together, for the first time in book form, methods and results from almost twenty years of research in this topic, including new viewpoints and results in many of the chapters. For each topic the theoretical framework is carefully explained using examples and applications. The second chapter on basic iterated function systems theory is designed to be used as the basis for a course and includes many exercises. This chapter, along with the three background appendices on topological and metric spaces, measure theory, and basic results from set-valued analysis, make the book suitable for self-study or as a source book for a graduate course. The other chapters illustrate many extensions and applications of fractal-based methods to different areas. This book is intended for graduate students and researchers in applied mathematics, engineering and social sciences. Herb Kunze is a professor of mathematics at the University of Guelph in Ontario. Davide La Torre is an associate professor of mathematics in the Department of Economics, Management and Quantitative Methods of the University of Milan. Franklin Mendivil is a professor of mathematics at Acadia University in Nova Scotia. Edward Vrscay is a professor in the department of Applied Mathematics at the University of Waterloo in Ontario. The major focus of their research is on fractals and the applications of fractals.
Book Synopsis Modelling of Flow and Transport in Fractal Porous Media by : Jianchao Cai
Download or read book Modelling of Flow and Transport in Fractal Porous Media written by Jianchao Cai and published by Elsevier. This book was released on 2020-11-05 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important resource explores recent theoretical advances and modelling on fluids transport in fractal porous systems and presents a systematic understanding of the characterization of complex microstructure and transport mechanism in fractal porous media. Modelling of Flow and Transport in Fractal Porous Media shows how fractal theory and technology, combined with other modern experiments and numerical simulation methods, will assist researchers and practitioners in modelling of transport properties of fractal porous media, such as fluid flow, heat and mass transfer, mechanical characteristics, and electrical conductivity. Presents the main methods and technologies for transport characterization of fractal porous media, including soils, reservoirs and artificial materials Provides the most recent theoretical advances in modelling of fractal porous media, including gas and vapor transport in fibrous materials, nonlinear seepage flow in hydrocarbon reservoirs, mass transfer of porous nanofibers, and fractal mechanics of unsaturated soils Includes multidisciplinary examples of applications of fractal theory to aid researchers and practitioners in characterizing various porous media structures
Book Synopsis The Science of Fractal Images by : Heinz-Otto Peitgen
Download or read book The Science of Fractal Images written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, Heinz-Otto Peit gen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba sic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics.
Book Synopsis Fractal Analysis for Natural Hazards by : Giuseppe Cello
Download or read book Fractal Analysis for Natural Hazards written by Giuseppe Cello and published by Geological Society of London. This book was released on 2006 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the Earth Sciences, the concept of fractals and scale invariance is well-recognized in many natural objects. However, the use of fractals for spatial and temporal analyses of natural hazards has been less used (and accepted) in the Earth Sciences. This book brings together twelve contributions that emphasize the role of fractal analyses in natural hazard research, including landslides, wildfires, floods, catastrophic rock fractures and earthquakes. A wide variety of spatial and temporal fractal-related approaches and techniques are applied to 'natural' data, experimental data, and computer simulations. These approaches include probabilistic hazard analysis, cellular-automata models, spatial analyses, temporal variability, prediction, and self-organizing behaviour. The main aims of this volume are to present current research on fractal analyses as applied to natural hazards, and to stimulate the curiosity of advanced Earth Science students and researchers in the use of fractals analyses for the better understanding of natural hazards.
Book Synopsis Fractal Models in Exploration Geophysics by : V.P. Dimri
Download or read book Fractal Models in Exploration Geophysics written by V.P. Dimri and published by Elsevier. This book was released on 2012-07-17 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researchers in the field of exploration geophysics have developed new methods for the acquisition, processing and interpretation of gravity and magnetic data, based on detailed investigations of bore wells around the globe. Fractal Models in Exploration Geophysics describes fractal-based models for characterizing these complex subsurface geological structures. The authors introduce the inverse problem using a fractal approach which they then develop with the implementation of a global optimization algorithm for seismic data: very fast simulated annealing (VFSA). This approach provides high-resolution inverse modeling results-particularly useful for reservoir characterization. Serves as a valuable resource for researchers studying the application of fractals in exploration, and for practitioners directly applying field data for geo-modeling Discusses the basic principles and practical applications of time-lapse seismic reservoir monitoring technology - application rapidly advancing topic Provides the fundamentals for those interested in reservoir geophysics and reservoir simulation study Demonstrates an example of reservoir simulation for enhanced oil recovery using CO2 injection
Book Synopsis The Structural Stabilization of Polymers: Fractal Models by : Kozlov
Download or read book The Structural Stabilization of Polymers: Fractal Models written by Kozlov and published by CRC Press. This book was released on 2006-07-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the structural aspects of transport processes of gases, physical ageing and thermo-oxidative degradation of polymers in detail. Fractal analysis, cluster models of the polymer structurea ‘s amorphous state as well as irreversible aggregation models are used as main structural models. It is shown that the polymer structure
Book Synopsis Fractal Analysis by : Fernando Brambila
Download or read book Fractal Analysis written by Fernando Brambila and published by BoD – Books on Demand. This book was released on 2017-06-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fractal Analysis by : Clifford Brown
Download or read book Fractal Analysis written by Clifford Brown and published by SAGE Publications. This book was released on 2010-04-14 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: A specialized presentation of fractal analysis oriented to the social sciences This primer uses straightforward language to give the reader step-by-step instructions for identifying and analyzing fractal patterns and the social process that create them. By making fractals accessible to the social science students, this book has a significant impact on the understanding of human behavior. This is the only book designed to introduce fractal analysis to a general social science audience.
Book Synopsis Fractal Analysis by : Robert Koprowski
Download or read book Fractal Analysis written by Robert Koprowski and published by BoD – Books on Demand. This book was released on 2020-09-09 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal analysis is becoming more and more common in all walks of life. This includes biomedical engineering, steganography and art. Writing one book on all these topics is a very difficult task. For this reason, this book covers only selected topics. Interested readers will find in this book the topics of image compression, groundwater quality, establishing the downscaling and spatio-temporal scale conversion models of NDVI, modelling and optimization of 3T fractional nonlinear generalized magneto-thermoelastic multi-material, algebraic fractals in steganography, strain induced microstructures in metals and much more. The book will definitely be of interest to scientists dealing with fractal analysis, as well as biomedical engineers or IT engineers. I encourage you to view individual chapters.
Book Synopsis Modelling, Simulation and Control of Non-linear Dynamical Systems by : Patricia Melin
Download or read book Modelling, Simulation and Control of Non-linear Dynamical Systems written by Patricia Melin and published by CRC Press. This book was released on 2001-10-25 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: These authors use soft computing techniques and fractal theory in this new approach to mathematical modeling, simulation and control of complexion-linear dynamical systems. First, a new fuzzy-fractal approach to automated mathematical modeling of non-linear dynamical systems is presented. It is illustrated with examples on the PROLOG programming la
Book Synopsis Fractal Market Analysis by : Edgar E. Peters
Download or read book Fractal Market Analysis written by Edgar E. Peters and published by John Wiley & Sons. This book was released on 1994-02-08 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A leading pioneer in the field offers practical applications of this innovative science. Peters describes complex concepts in an easy-to-follow manner for the non-mathematician. He uses fractals, rescaled range analysis and nonlinear dynamical models to explain behavior and understand price movements. These are specific tools employed by chaos scientists to map and measure physical and now, economic phenomena.
Book Synopsis Fractal Analysis: Basic Concepts And Applications by : Carlo Cattani
Download or read book Fractal Analysis: Basic Concepts And Applications written by Carlo Cattani and published by World Scientific. This book was released on 2022-02-24 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according to the step-by-step guide found in the book.Besides advanced undergraduate students, graduate students and senior researchers, this book may also serve scientists and research workers from industrial settings, where fractals and multifractals are required for modeling real-world phenomena and data, such as finance, medicine, engineering, transport, images, signals, among others.For the theorists, rigorous mathematical developments are established with necessary prerequisites that make the book self-containing. For the practitioner often interested in model building and analysis, we provide the cornerstone ideas.
Book Synopsis Fractal Analysis and Chaos in Geosciences by : Sid-Ali Ouadfeul
Download or read book Fractal Analysis and Chaos in Geosciences written by Sid-Ali Ouadfeul and published by BoD – Books on Demand. This book was released on 2012-11-14 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fractal analysis is becoming a very useful tool to process obtained data from chaotic systems in geosciences. It can be used to resolve many ambiguities in this domain. This book contains eight chapters showing the recent applications of the fractal/mutifractal analysis in geosciences. Two chapters are devoted to applications of the fractal analysis in climatology, two of them to data of cosmic and solar geomagnetic data from observatories. Four chapters of the book contain some applications of the (multi-) fractal analysis in exploration geophysics. I believe that the current book is an important source for researchers and students from universities.
Book Synopsis Fractal Analysis and Synergetics of Catalysis in Nanosystems by : G. V. Kozlov
Download or read book Fractal Analysis and Synergetics of Catalysis in Nanosystems written by G. V. Kozlov and published by Nova Publishers. This book was released on 2008 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nanochemistry is a science connected with obtaining and studying of physical-chemical properties of particles having sizes on the nanometer scale. This book addresses polymer synthesis which, according to Melikhov's classification, is automatically part of nanochemistry. This is determined as far as polymeric macromolecules (more precisely macromolecular coils) belong to nanoparticles and polymeric sols and gels - to nanosystems. Catalysis on nanoparticles is one of the most important sections of nanochemistry. The majority of catalytic systems are nanosystems. At heterogeneous catalysis the active substance is tried to deposit on carrier in nanoparticles form in order to increase their specific surface. At homogeneous catalysis active substance molecules have often in themselves nanometer sizes. The most favorable conditions for homogeneous catalysis are created when reagent molecules are adsorbed rapidly by nanoparticles and are desorbed slowly but have high surface mobility and, consequently, high reaction rate on the surface and at the reaction molecules of such structure are formed at which desorption rate is increased sharply. If these conditions are realised in nanosystem with larger probability than in macrosystem, then nanocatalyst has the raising activity that was observed for many systems.
Book Synopsis Fractal Analysis of the Binding and Dissociation Kinetics for Different Analytes on Biosensor Surfaces by : Ajit Sadana
Download or read book Fractal Analysis of the Binding and Dissociation Kinetics for Different Analytes on Biosensor Surfaces written by Ajit Sadana and published by Elsevier. This book was released on 2007-12-20 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biosensors are finding increasing applications in different areas. Over the last few years the areas where biosensors may be used effectively has increased dramatically. This book like the previous four books on analyte-receptor binding and dissociation kinetics by this author addresses the often neglected area. The kinetics of binding and dissociation in solution to appropriate receptors immobilized on biosensor surfaces occurs under diffusional limitations on structured surfaces. The receptors immobilized on the biosensor surface contribute to the degree of heterogeneity on the sensor chip surface. The fractal analysis examples presented throughout the book provide a convenient means to make quantitative the degree of heterogeneity present on the sensor surface, and relates it to the binding and dissociation rate coefficients. The fractal dimension is a quantitative measure of the degree of heterogeneity present on the biosensor surface. The book emphasizes medially-oriented examples. The detection of disease-related analytes is also emphasized. The intent being that if intractable and insidious diseases are detected earlier, they will be controlled better, eventually leading to a better prognosis. Chapter 3 is a new chapter that emphasizes enhancing the relevant biosensor performance parameters such as sensitivity, stability, selectivity, response time, etc. As usual, as done in previous books by this author, the last chapter provides an update of the economics involved in biosensors, and the difficulties encounters in starting-up a biosensor company. - Modelling of binding and dissociation kinetics of analyte-receptor reactions on biosensor surfaces: provides physical insights into these reactions occurring on biosensor surfaces. Very few researchers even attempt to analyze the kinetics of these types of reactions. - Fractal analysis used to model the binding and dissociation kinetics: original and unique approach. - Economic analysis provided in the last chapter: helps balance the book; besides providing much-needed information not available in the open literature. - Emphasis on improving biosensor performance parameters: helps make biosensors better. - Empahsis on medically-related analytes: helps in prognosis of diseases.
Book Synopsis Fractal Models in the Earth Sciences by : Gabor Korvin
Download or read book Fractal Models in the Earth Sciences written by Gabor Korvin and published by Elsevier Publishing Company. This book was released on 1992 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fractal is a mathematical set or object whose form is extremely irregular and/or fragmented at all scales. So reads Mandelbrot's definition of the term which he coined and widely popularised in his famous monographs. This volume presents the first systematic summary of the fractal models that have been proposed to explain the irregular features and phenomena of the Earth -- from meandering rivers and rugged coastlines to the pore space of reservoir sandstones and the prediction of earthquakes. No previous knowledge of fractals is assumed. Connections and analogies with other fields of natural and technical sciences (physics, biology, fractography, etc.) are always pointed out. More than 300 illustrations are included, demonstrating how fractal geometry reveals astonishing similarities between natural phenomena at widely different scales. The readership for this book is wide and includes: geological scientists, oceanographers, and meteorologists involved in describing and analysing irregular spatial data; as well as applied mathematicians, physicists and computer scientists looking for new fields of research.
