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Fractals and Chaos by A.J. Crilly

Title Fractals and Chaos
Author A.J. Crilly
Publisher Springer Science & Business Media
Release 2012-12-06
Category Mathematics
Total Pages 277
ISBN 1461230349
Language English, Spanish, and French
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Book Summary:

This volume is based upon the presentations made at an international conference in London on the subject of 'Fractals and Chaos'. The objective of the conference was to bring together some of the leading practitioners and exponents in the overlapping fields of fractal geometry and chaos theory, with a view to exploring some of the relationships between the two domains. Based on this initial conference and subsequent exchanges between the editors and the authors, revised and updated papers were produced. These papers are contained in the present volume. We thank all those who contributed to this effort by way of planning and organisation, and also all those who helped in the production of this volume. In particular, we wish to express our appreciation to Gerhard Rossbach, Computer Science Editor, Craig Van Dyck, Production Director, and Nancy A. Rogers, who did the typesetting. A. J. Crilly R. A. Earnshaw H. Jones 1 March 1990 Introduction Fractals and Chaos The word 'fractal' was coined by Benoit Mandelbrot in the late 1970s, but objects now defined as fractal in form have been known to artists and mathematicians for centuries. Mandelbrot's definition-"a set whose Hausdorff dimension is not an integer" -is clear in mathematical terms. In addition, related concepts are those of self-similarity and sub-divisibility. A fractal object is self-similar in that subsections of the object are similar in some sense to the whole object.

Fractal Market Analysis by Edgar E. Peters

Title Fractal Market Analysis
Author Edgar E. Peters
Publisher John Wiley & Sons
Release 1994-02-08
Category Business & Economics
Total Pages 336
ISBN 9780471585244
Language English, Spanish, and French
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Book Summary:

A leading pioneer in the field offers practical applications of this innovative science. Peters describes complex concepts in an easy-to-follow manner for the non-mathematician. He uses fractals, rescaled range analysis and nonlinear dynamical models to explain behavior and understand price movements. These are specific tools employed by chaos scientists to map and measure physical and now, economic phenomena.

Title Discrete Dynamical Systems Chaos Theory and Fractals
Author Linda Sundbye
Publisher Createspace Independent Publishing Platform
Release 2018-10-05
Category
Total Pages 228
ISBN 9781727161533
Language English, Spanish, and French
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Book Summary:

An introductory undergraduate level text on chaos theory, nonlinear dynamics and fractal geometry.

Fractals Chaos Power Laws by Manfred Schroeder

Title Fractals Chaos Power Laws
Author Manfred Schroeder
Publisher Courier Corporation
Release 2009-08-21
Category Science
Total Pages 448
ISBN 0486472043
Language English, Spanish, and French
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Book Summary:

This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author - hailed by Publishers Weekly as a modern Lewis Carroll - conveys memorable insights in the form of puns and puzzles. 1992 edition.

Chaos Theory and Fractals by Janani Mahalingam

Title Chaos Theory and Fractals
Author Janani Mahalingam
Publisher
Release 1994
Category Chaotic behavior in systems
Total Pages 74
ISBN
Language English, Spanish, and French
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Fractals by John Briggs

Title Fractals
Author John Briggs
Publisher Simon and Schuster
Release 1992
Category Science
Total Pages 192
ISBN 0671742175
Language English, Spanish, and French
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Book Summary:

Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals

Title Fundamentals of Fractals and Chaos Theory
Author M. A. Hemingway
Publisher
Release 1993
Category Mathematics
Total Pages
ISBN
Language English, Spanish, and French
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Book Summary:

Chaos Theory Uncovered by E. L. Strauss

Title Chaos Theory Uncovered
Author E. L. Strauss
Publisher
Release 2015
Category Chaotic behavior in systems
Total Pages 101
ISBN 9780620683548
Language English, Spanish, and French
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Book Summary:

Title Application of Chaos and Fractals to Computer Vision
Author Michael E. Farmer
Publisher Bentham Science Publishers
Release 2015-07-23
Category Computers
Total Pages 340
ISBN 1608059006
Language English, Spanish, and French
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Book Summary:

This book provides a thorough investigation of the application of chaos theory and fractal analysis to computer vision. The field of chaos theory has been studied in dynamical physical systems, and has been very successful in providing computational models for very complex problems ranging from weather systems to neural pathway signal propagation. Computer vision researchers have derived motivation for their algorithms from biology and physics for many years as witnessed by the optical flow algorithm, the oscillator model underlying graphical cuts and of course neural networks. These algorithms are very helpful for a broad range of computer vision problems like motion segmentation, texture analysis and change detection. The contents of this book include chapters in biological vision systems, foundations of chaos and fractals, behavior of images and image sequences in phase space, mathematical measures for analyzing phase space, applications to pre-attentive vision and applications to post-attentive vision. This book is intended for graduate students, upper division undergraduates, researchers and practitioners in image processing and computer vision. The readers will develop a solid understanding of the concepts of chaos theory and their application to computer vision. Readers will be introduced to a new way of thinking about computer vision problems from the perspective of complex dynamical systems. This new approach will provide them a deeper understanding of the various phenomena present in complex image scenes.

Chaotic Dynamics and Fractals by Michael F. Barnsley

Title Chaotic Dynamics and Fractals
Author Michael F. Barnsley
Publisher Academic Press
Release 2014-05-10
Category Mathematics
Total Pages 304
ISBN 1483269086
Language English, Spanish, and French
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Book Summary:

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.