This book presents concisely the full story on complex and hypercomplex fractals, starting from the very first steps in complex dynamics and resulting complex fractal sets. Readers will view this book as a fundamental compendium on hypercomplex frac...Lasīt vairāk
This book contains latest research on random results on random multifractals and the physical thermodynamical interpretation of these results. It presents a rigorous foundation for the multifractal structure of random geometrically graph directed se...Lasīt vairāk
Chaos, Noise and Fractals discusses the role of fractals in quantum mechanics, the influence of phase noise in chaos and driven optical systems, and the arithmetic of chaos....Lasīt vairāk
This book contains the 19 historic seminal papers on fractal geometry, dealing with such topics as non-differentiable functions, self-similarity, and fractional dimension. It is an invaluable reference for all researchers and students of fractal geo...Lasīt vairāk
(Izdošanas datums: 09-Aug-2012, Izdevniecība: Oxford University Press, ISBN-13: 9780199566433)
For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot...Lasīt vairāk
Riccardo Caponetto, Giovanni Dongola, Luigi Fortuna
Sērija : World Scientific Series on Nonlinear Science: Series A
(Izdošanas datums: 04-Jan-2010, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814304207)
It is well known that FOS can be applied in control applications and systems modeling, and their effectiveness has been proven in many theoretical works and simulation routines. This book aims to propose implementations and applications of Fractiona...Lasīt vairāk
Sērija : Wiley Series in Probability and Statistics
(Izdošanas datums: 07-Oct-2005, Izdevniecība: John Wiley & Sons Inc, ISBN-13: 9780471754725)
This book addresses the systematic analysis, modeling, and synthesis of integrated fractal and fractal-rate point processes in a rigorous but useful manner. Fractal and fractal-rate point processes exhibit both the scaling properties of fractals,...Lasīt vairāk
Yurij Baryshev, Pekka Teerikorpi, Benoit Mandelbrot
(Izdošanas datums: 30-Sep-2002, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812388780)
A presentation of results on the largest fractal structures in the universe. It explains how fractals appear in cosmic physics, from our solar system to the megafractals in deep space. It also offers a personal view of the history of the idea of sel...Lasīt vairāk
(Izdošanas datums: 01-Aug-2002, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812778604)
This work is based on the authors research on rendering images of higher dimensional fractals by a distance estimation technique. It is self-contained, giving a careful treatment of both the known techniques and the authors new methods....Lasīt vairāk
A.D. Morozov, etc., Timothy N. Dragunov, Svetlana A. Boykova, Olga V. Malysheva
Sērija : World Scientific Series on Nonlinear Science: Series A
(Izdošanas datums: 15-Nov-1999, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812794642)
This text deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, and patterns) for various kinds of nonlinear dynamical systems. A Windows 96 application, WInSet, which allows one to visua...Lasīt vairāk
(Izdošanas datums: 20-Oct-1999, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812815378)
Written for engineers, scientists or graduate students, this text deals with chaos and fractals within an engineering context, providing applications originating in a deep, pure mathematical theory....Lasīt vairāk
Sērija : Wiley Series in Probability and Statistics
(Izdošanas datums: 06-Apr-1999, Izdevniecība: John Wiley & Sons Inc, ISBN-13: 9780470316986)
Fractional factorial plans are of immense practical utility in many fields of investigation (particularly in experimental design, quality control, and quality improvment), and research in this area is progressing at a vigorous pace with an already v...Lasīt vairāk
With comprehensive and contemporary discussions on equilibrium and kinetic aspects of major soil chemical processes and reactions, this title presents various chapters on precipitation/dissolution, modeling of adsorption reactions at the mineral/wat...Lasīt vairāk
(Izdošanas datums: 05-Jan-1995, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812813022)
Combining concepts from nonlinear deterministic dynamics and fractal geometry with data from life, physical and social sciences, this work presents a new scientific paradigm for thinking about familiar phenomena, demonstrating, for example, why the...Lasīt vairāk
Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the descriptive power of fractal geometry in describing materials ranging from Swis...Lasīt vairāk
(Izdošanas datums: 12-Jan-1994, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812832702)
Describes the application of fractal mathematics to reservoir engineering, the process of engineering the production of oil and gas. This work should also be of interest to geologists, physicists and geophysicists, for whom fractal mathematics has p...Lasīt vairāk
(Izdošanas datums: 28-Nov-1993, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814503792)
Fractals have been shown to represent the common aspects of many complex processes occurring in an unusually diverse range of fields, including physics, mathematics, biology, chemistry, Earth sciences and technology. This volume presents results of...Lasīt vairāk
(Izdošanas datums: 15-May-1993, Izdevniecība: A K Peters, ISBN-13: 9780429065361)
Written for researchers and developers applying Integrated Function Systems in the creation of fractal images, this book presents a modification of a widely used probabilistic algorithm for generating IFS-encoded images...Lasīt vairāk
