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Author : Jie Huang
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.E/5 ( download)
Download or read book Fractals and Chaotic Dynamics in Tectonics written by Jie Huang and published by . This book was released on 1990 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald L. Turcotte
Publisher : Cambridge University Press
ISBN 13 : 9780521567336
Total Pages : 424 pages
Book Rating : 4.5/5 (673 download)
Download or read book Fractals and Chaos in Geology and Geophysics written by Donald L. Turcotte and published by Cambridge University Press. This book was released on 1997-07-13 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental concepts of fractal geometry and chaotic dynamics, along with the related concepts of multifractals, self-similar time series, wavelets, and self-organized criticality, are introduced in this book, for a broad range of readers interested in complex natural phenomena. Now in a greatly expanded, second edition, this book relates fractals and chaos to a variety of geological and geophysical applications. All concepts are introduced at the lowest possible level of mathematics consistent with their understanding, so that the reader requires only a background in basic physics and mathematics.
Author : P. Fischer
Publisher : CRC Press
ISBN 13 : 100015422X
Total Pages : 282 pages
Book Rating : 4.0/5 (1 download)
Download or read book Chaos, Fractals, and Dynamics written by P. Fischer and published by CRC Press. This book was released on 2020-11-26 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eighteen papers, all more-or-less linked to the theory of dynamical systems together with related studies of chaos and fractals. It shows many fractal configurations that were generated by computer calculations of underlying two-dimensional maps.
Author : Paul S. Addison
Publisher : CRC Press
ISBN 13 : 9780849384431
Total Pages : 276 pages
Book Rating : 4.3/5 (844 download)
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.
Author : Francis C. Moon
Publisher : John Wiley & Sons
ISBN 13 : 3527617515
Total Pages : 528 pages
Book Rating : 4.5/5 (276 download)
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.
Author : Geological Association of Canada
Publisher : St. John's, Nfld. : Geological Association of Canada
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.F/5 ( download)
Download or read book Nonlinear Dynamics, Chaos and Fractals with Applications to Geological Systems written by Geological Association of Canada and published by St. John's, Nfld. : Geological Association of Canada. This book was released on 1991 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Fielding Barnsley
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (63 download)
Download or read book Chaotic Dynamics and Fractals written by Michael Fielding Barnsley and published by . This book was released on 1989 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph L. McCauley
Publisher : Cambridge University Press
ISBN 13 : 1107393272
Total Pages : 352 pages
Book Rating : 4.1/5 (73 download)
Download or read book Chaos, Dynamics, and Fractals written by Joseph L. McCauley and published by Cambridge University Press. This book was released on 1994-05-26 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. The author uses a fully discrete method, a 'theoretical computer arithmetic', because finite (but not fixed) precision cannot be avoided in computation or experiment. This leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The connection is made with Turing's ideas of computable numbers and it is explained why the continuum approach leads to predictions that are not necessarily realized in computation or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed.
Author : Michael F. Barnsley
Publisher : Academic Press
ISBN 13 : 1483269086
Total Pages : 305 pages
Book Rating : 4.4/5 (832 download)
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 305 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.
Author : E. Roy Pike
Publisher : CRC Press
ISBN 13 : 9780852743645
Total Pages : 282 pages
Book Rating : 4.7/5 (436 download)
Download or read book Chaos, Noise and Fractals written by E. Roy Pike and published by CRC Press. This book was released on 1987-01-01 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of nonlinear dynamical systems has been gathering momentum since the late 1950s. It now constitutes one of the major research areas of modern theoretical physics. The twin themes of fractals and chaos, which are linked by attracting sets in chaotic systems that are fractal in structure, are currently generating a great deal of excitement. The degree of structure robustness in the presence of stochastic and quantum noise is thus a topic of interest. 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. The book represents a balanced overview of the field and is a worthy addition to the reading lists of researchers and students interested in any of the varied, and sometimes bizarre, aspects of this intriguing subject.
Author : Denny Gulick
Publisher : CRC Press
ISBN 13 : 1003835775
Total Pages : 415 pages
Book Rating : 4.0/5 (38 download)
Download or read book Encounters with Chaos and Fractals written by Denny Gulick and published by CRC Press. This book was released on 2024-05-10 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encounters with Chaos and Fractals, Third Edition provides an accessible introduction to chaotic dynamics and fractal geometry. It incorporates important mathematical concepts and backs up the definitions and results with motivation, examples, and applications. The Third Edition updates this classic book for a modern audience. New applications on contemporary topics, like data science and mathematical modelling, appear throughout. Coding activities are transitioned to open-source programming languages, including Python. The text begins with examples of mathematical behavior exhibited by chaotic systems, first in one dimension and then in two and three dimensions. Focusing on fractal geometry, the authors introduce famous infinitely complicated fractals. How to obtain computer renditions of them are explained. The book concludes with Julia sets and the Mandelbrot set. The Third Edition includes: v More coding activities included in each section. The code is expanded to include pseudo-code, with specific examples in MATLAB (or it's open-source cousin Octave) and Python. v Many more and updated exercises from previous editions. v Proof writing exercises for a more theoretical course. v Sections revised to include historical context. v Short sections added to explain applied problems developing the mathematics. This edition reveals how these ideas are continuing to be applied in the 21st century, while connecting to the long and winding history of dynamical systems. The primary focus is the beauty and diversity of these ideas. Offering more than enough material for a one-semester course, the authors show how these subjects continue to grow within mathematics and in many other disciplines.
Author : Wanda Szempli?ska-Stupnicka
Publisher : World Scientific
ISBN 13 : 9789812564375
Total Pages : 118 pages
Book Rating : 4.5/5 (643 download)
Download or read book Chaos Bifurcations and Fractals Around Us written by Wanda Szempli?ska-Stupnicka and published by World Scientific. This book was released on 2003 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last twenty years, a large number of books on nonlinearchaotic dynamics in deterministic dynamical systems haveappeared. These academic tomes are intended for graduate students andrequire a deep knowledge of comprehensive, advanced mathematics.
Author : Phillip A Laplante
Publisher : World Scientific
ISBN 13 : 981127326X
Total Pages : 217 pages
Book Rating : 4.8/5 (112 download)
Download or read book Introduction To Chaos, Fractals And Dynamical Systems written by Phillip A Laplante and published by World Scientific. This book was released on 2023-07-26 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a fun and enriching introduction to chaos theory, fractals and dynamical systems, and on the applications of fractals to computer generated graphics and image compression. Introduction to Chaos, Fractals and Dynamical Systems particularly focuses on natural and human phenomenon that can be modeled as fractals, using simple examples to explain the theory of chaos and how it affects all of us. Then, using straightforward mathematic and intuitive descriptions, computer generated graphics and photographs of natural scenes are used to illustrate the beauty of fractals and their importance in our world. Finally, the concept of Dynamical Systems, that is, time-dependent systems, the foundation of Chaos and Fractal, is introduced. Everyday examples are again used to illustrate concepts, and the importance of understanding how these vital systems affect our lives. Throughout the fascinating history of the evolution of chaos theory, fractals and dynamical systems is presented, along with brief introductions to the scientists, mathematicians and engineers who created this knowledge.Introduction to Chaos, Fractals and Dynamical Systems contains ample mathematical definitions, representations, discussions and exercises, so that this book can be used as primary or secondary source in home schooling environments.The book is suitable for homeschooling as a focused course on the subject matter or as a classroom supplement for a variety of courses at the late junior high or early high-school level. For example, in addition to a standalone course on Chaos, Fractals and Dynamical Systems (or similar title), this book could be used with the following courses:The text can also be used in conjunction with mathematics courses for undergraduates for non-science majors. The book can also be used for informal and lively family study and discussion.For each chapter, exercises and things to do are included. These activities range from simple computational tasks to more elaborate computer projects, related activities, biographical research and writing assignments.
Author : Fischer
Publisher : CRC Press
ISBN 13 : 9781138442122
Total Pages : pages
Book Rating : 4.4/5 (421 download)
Download or read book Chaos, Fractals, and Dynamics written by Fischer and published by CRC Press. This book was released on 2017-07-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jörn H. Kruhl
Publisher : Springer Science & Business Media
ISBN 13 : 3662073048
Total Pages : 411 pages
Book Rating : 4.6/5 (62 download)
Download or read book Fractals and Dynamic Systems in Geoscience written by Jörn H. Kruhl and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry allows the description of natural patterns and the establishment and testing of models of pattern formation. In particular, it is a tool for geoscientists. The aim of this volume is to give an overview of the applications of fractal geometry and the theory of dynamic systems in the geosciences. The state of the art is presented and the reader obtains an impression of the variety of fields for which fractal geometry is a useful tool and of the different methods of fractal geometry which can be applied. In addition to specific information about new applications of fractal geometry in structural geology, physics of the solid earth, and mineralogy, proposals and ideas about how fractal geometry can be applied in the reader's field of studies will be put forward.
Author : F. C. Moon
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.3/5 (91 download)
Download or read book Chaotic and Fractal Dynamics written by F. C. Moon and published by Wiley-Interscience. This book was released on 1992 with total page 544 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.
Author : Masao Nakagawa
Publisher : World Scientific
ISBN 13 : 9789810238339
Total Pages : 960 pages
Book Rating : 4.2/5 (383 download)
Download or read book Chaos and Fractals in Engineering written by Masao Nakagawa and published by World Scientific. This book was released on 1999 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
