Fractal Control Theory, Shu-Tang Liu; Pei Wang

Автор: West Bruce, Bologna Mauro, Grigolini Paolo
Название: Physics of Fractal Operators
ISBN: 0387955542 ISBN-13(EAN): 9780387955544
Издательство: Springer
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Описание: This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.

Автор: Falconer Kenneth
Название: Fractal Geometry
ISBN: 111994239X ISBN-13(EAN): 9781119942399
Издательство: Wiley
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Описание: This comprehensive and popular textbook makes fractal geometry accessible to final-year undergraduate math or physics majors, while also serving as a reference for research mathematicians or scientists. This up-to-date edition covers introductory multifractal theory, random fractals, and modern applications in finance and science.

Автор: Shutang Liu; Pei Wang
Название: Fractal Control Theory
ISBN: 9811070490 ISBN-13(EAN): 9789811070495
Издательство: Springer
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Цена: 19564.00 р.
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Описание: 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.

Автор: Basudeb Ghosh; Sachendra N. Sinha; M. V. Kartikeya
Название: Fractal Apertures in Waveguides, Conducting Screens and Cavities
ISBN: 3319065343 ISBN-13(EAN): 9783319065342
Издательство: Springer
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Цена: 16979.00 р.
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Описание: The present book is intended to initiate a study of the characteristics of fractal apertures in waveguides, conducting screens and cavities.To perform a unified analysis of these entirely dissimilar problems, the "generalized network formulation of the aperture problems" by Mautz and Harrington was extended to multiple-aperture geometry.

Автор: Takahashi
Название: Microcirculation in Fractal Branching Networks
ISBN: 4431545077 ISBN-13(EAN): 9784431545071
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This book presents a new method for analyzing the structure and function of the biological branching systems of fractal trees, with a focus on microcirculation. Branching systems in humans (vascular and bronchial trees) and those in the natural world (plants, trees, and rivers) are characterized by a fractal nature.

Автор: Banerjee Santo, Easwaramoorthy D., Gowrisankar A.
Название: Fractal Functions, Dimensions and Signal Analysis
ISBN: 3030626717 ISBN-13(EAN): 9783030626716
Издательство: Springer
Цена: 18167.00 р.
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Описание: This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. It also covers the dimension of fractal functions and investigates the relationship between the fractal dimension and the fractional order of fractal interpolation functions.

Автор: Manuel Fern?ndez-Mart?nez; Juan Luis Garc?a Guirao
Название: Fractal Dimension for Fractal Structures
ISBN: 3030166449 ISBN-13(EAN): 9783030166441
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main invariant of a fractal set, and provides useful information regarding the irregularities it presents when examined at a suitable level of detail. New theoretical models for calculating the fractal dimension of any subset with respect to a fractal structure are posed to generalise both the Hausdorff and box-counting dimensions. Some specific results for self-similar sets are also proved. Unlike classical fractal dimensions, these new models can be used with empirical applications of fractal dimension including non-Euclidean contexts. In addition, the book applies these fractal dimensions to explore long-memory in financial markets. In particular, novel results linking both fractal dimension and the Hurst exponent are provided. As such, the book provides a number of algorithms for properly calculating the self-similarity exponent of a wide range of processes, including (fractional) Brownian motion and L?vy stable processes. The algorithms also make it possible to analyse long-memory in real stocks and international indexes.This book is addressed to those researchers interested in fractal geometry, self-similarity patterns, and computational applications involving fractal dimension and Hurst exponent.

Автор: Liu Shu Tang, Zhang Yong Ping, Liu Chang An
Название: Fractal Control and Its Applications
ISBN: 9811554617 ISBN-13(EAN): 9789811554612
Издательство: Springer
Цена: 13974.00 р.
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Описание: Further, it demonstrates how the fractal dimension can be calculated in order to describe the complexity of various systems.Offering a comprehensive and systematic overview of the practical issues in fractal control, this book is a valuable resource for readers interested in practical solutions in fractal control.

Автор: Liu Shu Tang, Zhang Yong Ping, Liu Chang An
Название: Fractal Control and Its Applications
ISBN: 9811554587 ISBN-13(EAN): 9789811554582
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Further, it demonstrates how the fractal dimension can be calculated in order to describe the complexity of various systems.Offering a comprehensive and systematic overview of the practical issues in fractal control, this book is a valuable resource for readers interested in practical solutions in fractal control.

Автор: Yingjie Liang, Wen Chen, Wei Cai
Название: Hausdorff Calculus: Applications to Fractal Systems
ISBN: 3110606925 ISBN-13(EAN): 9783110606928
Издательство: Walter de Gruyter
Цена: 22305.00 р.
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Описание: The series is devoted to the publication of high-level monographs which cover progresses in fractional calculus research in mathematics and applications in physics, mechanics, engineering and biology etc. Methodological aspects e.g., theory, modeling and computational methods are presented from mathematical point of view, and emphases are placed in computer simulation, analysis, design and control of application-oriented issues in various scientific disciplines. It is designed for mathematicians, and researchers using fractional calculus as a tool in the field of physics, mechanics, engineering and biology. Contributions which are interdisciplinary and which stimulate further research at the crossroads of sciences and engineering are particularly welcomed. Editor-in-chief: Changpin Li, Shanghai University, China Editorial Board: Virginia Kiryakova, Bulgarian Academy of Sciences, Bulgaria Francesco Mainardi, University of Bologna, Italy Dragan Spasic, University of Novi Sad, Serbia Bruce Ian Henry, University of New South Wales, Australia YangQuan Chen, University of California, Merced, USA Please submit book proposals to Professor Changpin Li: lcp@shu.edu.cn

Автор: Benoit B. Mandelbrot, Mandelbrot
Название: Fractal geometry of nature
ISBN: 1648370403 ISBN-13(EAN): 9781648370403
Издательство: Неизвестно
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Цена: 13785.00 р.
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Описание:

Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot`s unique style, and rich illustrations will inspire readers of all backgrounds.

Автор: Michel L. Lapidus; Machiel van Frankenhuijsen
Название: Fractal Geometry, Complex Dimensions and Zeta Functions
ISBN: 1489988386 ISBN-13(EAN): 9781489988386
Издательство: Springer
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Цена: 12577.00 р.
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Описание: In its Second Edition, this in-depth study of the vibrations of fractal strings interlinks number theory, spectral geometry and fractal geometry. Includes a geometric reformulation of the Riemann hypothesis and a new final chapter on recent topics and results.