Fractal Control And Its Applications PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Fractal Control And Its Applications PDF full book. Access full book title Fractal Control And Its Applications.
| Author | : Shu Tang Liu |
| Publisher | : Springer Nature |
| Total Pages | : 364 |
| Release | : 2020-07-11 |
| Genre | : Technology & Engineering |
| ISBN | : 9811554595 |
Download Fractal Control and Its Applications Book in PDF, ePub and Kindle
The book focuses on fractal control and applications in various fields. Fractal phenomena occur in nonlinear models, and since the behaviors depicted by fractals need to be controlled in practical applications, an understanding of fractal control is necessary. This book introduces readers to Julia set fractals and Mandelbrot set fractals in a range of models, such as physical systems, biological systems and SIRS models, and discusses controllers designed to control these fractals. 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. It will also appeal to researchers, engineers, and graduate students in fields of fractal control and applications, as well as chaos control and applications.
| Author | : Shu-Tang Liu |
| Publisher | : Springer |
| Total Pages | : 300 |
| Release | : 2018-04-21 |
| Genre | : Technology & Engineering |
| ISBN | : 9811070504 |
Download Fractal Control Theory Book in PDF, ePub and Kindle
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.
| Author | : Fernando Brambila |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 296 |
| Release | : 2017-06-14 |
| Genre | : Mathematics |
| ISBN | : 9535131915 |
Download Fractal Analysis Book in PDF, ePub and Kindle
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.
| Author | : A.J. Crilly |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 312 |
| Release | : 2013-11-11 |
| Genre | : Computers |
| ISBN | : 3642780970 |
Download Applications of Fractals and Chaos Book in PDF, ePub and Kindle
Applications of Fractals and Chaos presents new developments in this rapidlydeveloping subject area. The presentation is more than merely theoretical, it specifically presents particular applications in a wide range of applications areas. Under the oceans, we consider the ways in which sponges and corals grow; we look, too, at the stability of ships on their surfaces. Land itself is modelled and applications to art, medicineand camouflage are presented. Readers should find general interest in the range of areas considered and should also be able to discover methods of value for their own specific areas of interest from studying the structure of related activities.
| Author | : Kenneth Falconer |
| Publisher | : OUP Oxford |
| Total Pages | : 153 |
| Release | : 2013-09-26 |
| Genre | : Mathematics |
| ISBN | : 0191663441 |
Download Fractals: A Very Short Introduction Book in PDF, ePub and Kindle
Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
| Author | : W. Szemplinska-Stupnicka |
| Publisher | : Springer |
| Total Pages | : 325 |
| Release | : 2014-05-04 |
| Genre | : Technology & Engineering |
| ISBN | : 370912610X |
Download Engineering Applications of Dynamics of Chaos Book in PDF, ePub and Kindle
The treatment of chaotic dynamics in mathematics and physics during last two decades has led to a number of new concepts for the investigation of complex behavior in nonlinear dynamical processes. The aim the CISM course Engineering Applications of Dynamics of Chaos of which this is the proceedings volume was to make these concepts available to engineers and applied scientists possessing only such modest knowledges in mathematics which are usual for engineers, for example graduating from a Technical University. The contents of the articles contributed by leading experts in this field cover not only theoretical foundations and algorithmic and computational aspects but also applications to engineering problems. In the first article an introduction into the basic concepts for the investigation of chaotic behavior of dynamical systems is given which is followed in the second article by an extensive treatment of approximative analytical methods to determine the critical parameter values describing the onset of chaos. The important relation between chaotic dynamics and the phenomenon of turbulence is treated in the third article by studying instabilities various fluid flows. In this contribution also an introduction into interesting phenomenon of pattern formation is given. The fourth and fifth articles present various applications to nonlinear oscillations including roll motions of ships, rattling oscillations in gear boxes, tumbling oscillations of satellites, flutter motions of fluid carrying pipes and vibrations of robot arms. In the final article a short treatment of hyperchaos is given.
| Author | : Masao Nakagawa |
| Publisher | : World Scientific |
| Total Pages | : 960 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9789810238339 |
Download Chaos and Fractals in Engineering Book in PDF, ePub and Kindle
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.
| Author | : David Thomas Matthews |
| Publisher | : |
| Total Pages | : 210 |
| Release | : 1997 |
| Genre | : Fractals |
| ISBN | : |
Download On Fractal Dimension and Its Application Book in PDF, ePub and Kindle
| Author | : James B Bassingthwaighte |
| Publisher | : Springer |
| Total Pages | : 371 |
| Release | : 2013-05-27 |
| Genre | : Medical |
| ISBN | : 1461475724 |
Download Fractal Physiology Book in PDF, ePub and Kindle
I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.
| Author | : Santo Banerjee |
| Publisher | : CRC Press |
| Total Pages | : 142 |
| Release | : 2020-03-27 |
| Genre | : Mathematics |
| ISBN | : 1351647628 |
Download Fractal Patterns in Nonlinear Dynamics and Applications Book in PDF, ePub and Kindle
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.
