Dynamics Of Fractal Surfaces

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Dynamics of Fractal Surfaces

Author : Fereydoon Family
Publisher : World Scientific
ISBN 13 : 9789810207205
Total Pages : 500 pages
Book Rating : 4.2/5 (72 download)

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Book Synopsis Dynamics of Fractal Surfaces by : Fereydoon Family

Download or read book Dynamics of Fractal Surfaces written by Fereydoon Family and published by World Scientific. This book was released on 1991 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few years there has been an explosion of activity in the field of the dynamics of fractal surfaces, which, through the convergence of important new results from computer simulations, analytical theories and experiments, has led to significant advances in our understanding of nonequilibrium surface growth phenomena. This interest in surface growth phenomena has been motivated largely by the fact that a wide variety of natural and industrial processes lead to the formation of rough surfaces and interfaces. This book presents these developments in a single volume by bringing together the works containing the most important results in the field.The material is divided into chapters consisting of reprints related to a single major topic. Each chapter has a general introduction to a particular aspect of growing fractal surfaces. These introductory parts are included in order to provide a scientific background to the papers reproduced in the main part of the chapters. They are written in a pedagogical style and contain only the most essential information. The contents of the reprints are made more accessible to the reader as they are preceded by a short description of what the editors find to be the most significant results in the paper.

Fractal Functions, Fractal Surfaces, and Wavelets

Author : Peter R. Massopust
Publisher : Academic Press
ISBN 13 : 0128044705
Total Pages : 426 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Fractal Functions, Fractal Surfaces, and Wavelets by : Peter R. Massopust

Download or read book Fractal Functions, Fractal Surfaces, and Wavelets written by Peter R. Massopust and published by Academic Press. This book was released on 2016-09-02 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets. The book is based on Massopust’s work on and contributions to the theory of fractal interpolation, and the author uses a number of tools—including analysis, topology, algebra, and probability theory—to introduce readers to this exciting subject. Though much of the material presented in this book is relatively current (developed in the past decades by the author and his colleagues) and fairly specialized, an informative background is provided for those entering the field. With its coherent and comprehensive presentation of the theory of univariate and multivariate fractal interpolation, this book will appeal to mathematicians as well as to applied scientists in the fields of physics, engineering, biomathematics, and computer science. In this second edition, Massopust includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, further develops the connections to wavelets and wavelet sets, and deepens and extends the pedagogical content. Offers a comprehensive presentation of fractal functions and fractal surfaces Includes latest developments in fractal interpolation Connects fractal geometry with wavelet theory Includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, and further develops the connections to wavelets and wavelet sets Deepens and extends the pedagogical content

Fractal Concepts in Surface Growth

Author : A.- L. Barabási
Publisher : Cambridge University Press
ISBN 13 : 9780521483186
Total Pages : 392 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Fractal Concepts in Surface Growth by : A.- L. Barabási

Download or read book Fractal Concepts in Surface Growth written by A.- L. Barabási and published by Cambridge University Press. This book was released on 1995-04-13 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together two of the most exciting and widely studied subjects in modern physics: namely fractals and surfaces. To the community interested in the study of surfaces and interfaces, it brings the concept of fractals. To the community interested in the exciting field of fractals and their application, it demonstrates how these concepts may be used in the study of surfaces. The authors cover, in simple terms, the various methods and theories developed over the past ten years to study surface growth. They describe how one can use fractal concepts successfully to describe and predict the morphology resulting from various growth processes. Consequently, this book will appeal to physicists working in condensed matter physics and statistical mechanics, with an interest in fractals and their application. The first chapter of this important new text is available on the Cambridge Worldwide Web server: http://www.cup.cam.ac.uk/onlinepubs/Textbooks/textbookstop.html

Fractal Surfaces

Author : John C. Russ
Publisher : Springer Science & Business Media
ISBN 13 : 1489925783
Total Pages : 313 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Fractal Surfaces by : John C. Russ

Download or read book Fractal Surfaces written by John C. Russ and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractal Patterns in Nonlinear Dynamics and Applications

Author : Santo Banerjee
Publisher : CRC Press
ISBN 13 : 1351647628
Total Pages : 142 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Fractal Patterns in Nonlinear Dynamics and Applications by : Santo Banerjee

Download or read book Fractal Patterns in Nonlinear Dynamics and Applications written by Santo Banerjee and published by CRC Press. This book was released on 2020-03-27 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most books on fractals focus on deterministic fractals as the impact of incorporating randomness and time is almost absent. Further, most review fractals without explaining what scaling and self-similarity means. This book introduces the idea of scaling, self-similarity, scale-invariance and their role in the dimensional analysis. For the first time, fractals emphasizing mostly on stochastic fractal, and multifractals which evolves with time instead of scale-free self-similarity, are discussed. Moreover, it looks at power laws and dynamic scaling laws in some detail and provides an overview of modern statistical tools for calculating fractal dimension and multifractal spectrum.

Chaotic Dynamics and Fractals

Author : Michael F. Barnsley
Publisher : Academic Press
ISBN 13 : 1483269086
Total Pages : 304 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Chaotic Dynamics and Fractals by : Michael F. Barnsley

Download or read book Chaotic Dynamics and Fractals written by Michael F. Barnsley and published by Academic Press. This book was released on 2014-05-10 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaotic Dynamics and Fractals covers the proceedings of the 1985 Conference on Chaotic Dynamics, held at the Georgia Institute of Technology. This conference deals with the research area of chaos, dynamical systems, and fractal geometry. This text is organized into three parts encompassing 16 chapters. The first part describes the nature of chaos and fractals, the geometric tool for some strange attractors, and other complicated sets of data associated with chaotic systems. This part also considers the Henon-Hiles Hamiltonian with complex time, a Henon family of maps from C2 into itself, and the idea of turbulent maps in the course of presenting results on iteration of continuous maps from the unit interval to itself. The second part discusses complex analytic dynamics and associated fractal geometry, specifically the bursts into chaos, algorithms for obtaining geometrical and combinatorial information, and the parameter space for iterated cubic polynomials. This part also examines the differentiation of Julia sets with respects to a parameter in the associated rational map, permitting the formulation of Taylor series expansion for the sets. The third part highlights the applications of chaotic dynamics and fractals. This book will prove useful to mathematicians, physicists, and other scientists working in, or introducing themselves to, the field.

Lectures on Fractal Geometry and Dynamical Systems

Author : Ya. B. Pesin
Publisher : American Mathematical Soc.
ISBN 13 : 0821848895
Total Pages : 334 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Fractal Geometry and Dynamical Systems by : Ya. B. Pesin

Download or read book Lectures on Fractal Geometry and Dynamical Systems written by Ya. B. Pesin and published by American Mathematical Soc.. This book was released on 2009 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both fractal geometry and dynamical systems have a long history of development and have provided fertile ground for many great mathematicians and much deep and important mathematics. This book offers an introduction to these two fields, with an emphasis on the relationship between them.

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

Author : C Trico
Publisher : World Scientific
ISBN 13 : 9814550574
Total Pages : 298 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Fractals In Engineering - Proceedings Of The Conference On Fractals In Engineering 94 by : C Trico

Download or read book Fractals In Engineering - Proceedings Of The Conference On Fractals In Engineering 94 written by C Trico and published by World Scientific. This book was released on 1995-01-16 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Diffraction from Rough Surfaces and Dynamic Growth Fronts

$Download Diffraction from Rough Surfaces and Dynamic Growth Fronts PDF Online Free$

Author : H-N Yang
Publisher : World Scientific
ISBN 13 : 9814502731
Total Pages : 240 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Diffraction from Rough Surfaces and Dynamic Growth Fronts by : H-N Yang

Download or read book Diffraction from Rough Surfaces and Dynamic Growth Fronts written by H-N Yang and published by World Scientific. This book was released on 1993-10-12 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed both for experimentalists who study rough surfaces and the dynamics of thin film growth using diffraction techniques and for theorists who wish to learn of such rough surfaces and dynamic behavior in Fourier space, this monograph quickly brings the readers to forefront research in the area of the dynamics of interface growth. Graduate and advanced undergraduate students as well as those readers who have very little prior knowledge of diffraction can pick up the subject matter with little difficulty. This monograph gives a brief review and summary at the end of each chapter. After the introduction of the elementary theory of diffraction in Chapter I, Chapter II discusses the various parameters and correlation functions that are essential in describing a rough surface. In Chapter III, the authors not only show analytical forms of the diffraction structure factor for both rough crystalline and non-crystalline surfaces, but also outline the methods of extracting the interface width, the lateral correlation length and the roughness parameter from the diffraction structure factor. To present the basic physical concepts underlying the scaling hypothesis during dynamic growth, in Chapter IV, a detailed description of the dynamic scaling properties of the height-height correlation function, the height difference function and the structure factor is given. The structure factor from a dynamic growth front is derived in Chapter V. An example of a quantitative measurement of the dynamic growth front of an epitaxial system is also given in this chapter. In Chapter VI, a particular type of rough surfaces having a diverging interface width associated with an equilibrium surface roughening transition is discussed. A comparison of the diffraction characteristics from divergent and non-divergent interface is also summarized. Contents:Fundamentals of DiffractionCorrelation Functions for Rough SurfacesDiffraction from Rough Crystalline and Non-Crystalline SurfacesGrowth Dynamics: Self-Affine ScalingDiffraction Structure Factor from Rough Growth FrontsDivergent Interfaces Readership: Undergraduate students, graduate students, researchers in materials science and condensed matter physicists. keywords:

Thinking in Patterns

Author : Miroslav Michal Novak
Publisher : World Scientific
ISBN 13 : 9812388222
Total Pages : 336 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Thinking in Patterns by : Miroslav Michal Novak

Download or read book Thinking in Patterns written by Miroslav Michal Novak and published by World Scientific. This book was released on 2004 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors.This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics ? from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences

Fractals in Biology and Medicine

Author : G. Losa
Publisher : Birkhäuser
ISBN 13 : 3034889364
Total Pages : 380 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fractals in Biology and Medicine by : G. Losa

Download or read book Fractals in Biology and Medicine written by G. Losa and published by Birkhäuser. This book was released on 2013-03-11 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Fractals in Biology and Medicine, Volume 2" explores the potential of the fractal geometry in understanding how to analyse natural shapes. The volume devotes special emphasis to the complex field of human tumours.

Chaotic and Fractal Dynamics

Author : Francis C. Moon
Publisher : John Wiley & Sons
ISBN 13 : 3527617515
Total Pages : 528 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Chaotic and Fractal Dynamics by : Francis C. Moon

Download or read book Chaotic and Fractal Dynamics written by Francis C. Moon and published by John Wiley & Sons. This book was released on 2008-11-20 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revision of a professional text on the phenomena of chaotic vibrations in fluids and solids. Major changes reflect the latest developments in this fast-moving topic, the introduction of problems to every chapter, additional mathematics and applications, more coverage of fractals, numerous computer and physical experiments. Contains eight pages of 4-color pictures.

Applied Fracture Mechanics

Author : Alexander Belov
Publisher : BoD – Books on Demand
ISBN 13 : 9535108972
Total Pages : 396 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Applied Fracture Mechanics by : Alexander Belov

Download or read book Applied Fracture Mechanics written by Alexander Belov and published by BoD – Books on Demand. This book was released on 2012-12-12 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book "Applied Fracture Mechanics" presents a collection of articles on application of fracture mechanics methods to materials science, medicine, and engineering. In thirteen chapters, a wide range of topics is discussed, including strength of biological tissues, safety of nuclear reactor components, fatigue effects in pipelines, environmental effects on fracture among others. In addition, the book presents mathematical and computational methods underlying the fracture mechanics applications, and also developments in statistical modeling of fatigue. The work presented in this book will be useful, effective, and beneficial to mechanical engineers, civil engineers, and material scientists from industry, research, and education.

Fractal Control Theory

Author : Shu-Tang Liu
Publisher : Springer
ISBN 13 : 9811070504
Total Pages : 293 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Fractal Control Theory by : Shu-Tang Liu

Download or read book Fractal Control Theory written by Shu-Tang Liu and published by Springer. This book was released on 2018-04-21 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractal Growth Phenomena

Author : Tam s Vicsek
Publisher : World Scientific
ISBN 13 : 9789810206680
Total Pages : 542 pages
Book Rating : 4.2/5 (66 download)

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Book Synopsis Fractal Growth Phenomena by : Tam s Vicsek

Download or read book Fractal Growth Phenomena written by Tam s Vicsek and published by World Scientific. This book was released on 1992 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the last couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes. This book, written by a well-known expert in the field, summarizes the basic concepts born in the studies of fractal growth and also presents some of the most important new results for more specialized readers. It also contains 15 beautiful color plates demonstrating the richness of the geometry of fractal patterns. Accordingly, it may serve as a textbook on the geometrical aspects of fractal growth and it treats this area in sufficient depth to make it useful as a reference book. No specific mathematical knowledge is required for reading this book which is intended to give a balanced account of the field.

Fractals and Chaos

Author : Paul S. Addison
Publisher : CRC Press
ISBN 13 : 9780849384431
Total Pages : 276 pages
Book Rating : 4.3/5 (844 download)

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Book Synopsis Fractals and Chaos by : Paul S. Addison

Download or read book Fractals and Chaos written by Paul S. Addison and published by CRC Press. This book was released on 1997-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals and Chaos: An Illustrated Course provides you with a practical, elementary introduction to fractal geometry and chaotic dynamics-subjects that have attracted immense interest throughout the scientific and engineering disciplines. The book may be used in part or as a whole to form an introductory course in either or both subject areas. A prominent feature of the book is the use of many illustrations to convey the concepts required for comprehension of the subject. In addition, plenty of problems are provided to test understanding. Advanced mathematics is avoided in order to provide a concise treatment and speed the reader through the subject areas. The book can be used as a text for undergraduate courses or for self-study.

Chaos, Fractals, and Dynamics

Author : Robert L. Devaney
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Chaos, Fractals, and Dynamics by : Robert L. Devaney

Download or read book Chaos, Fractals, and Dynamics written by Robert L. Devaney and published by Addison Wesley Publishing Company. This book was released on 1990 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the mathematical topics of chaos, fractals, and dynamics using a combination of hands-on computer experimentation and precalculas mathmetics. A series of experiments produce fascinating computer graphics images of Julia sets, the Mandelbrot set, and fractals. The basic ideas of dynamics--chaos, iteration, and stability--are illustrated via computer projects.