encounters with chaos and fractals second edition

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Encounters With Chaos And Fractals Second Edition

Author : Denny Gulick
ISBN : 9781466558755
Genre : Mathematics
File Size : 76. 38 MB
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Now with an extensive introduction to fractal geometry Revised and updated, Encounters with Chaos and Fractals, Second Edition provides an accessible introduction to chaotic dynamics and fractal geometry for readers with a calculus background. It incorporates important mathematical concepts associated with these areas and backs up the definitions and results with motivation, examples, and applications. Laying the groundwork for later chapters, 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 author goes on to introduce famous infinitely complicated fractals. He analyzes them and explains how to obtain computer renditions of them. The book concludes with the famous Julia sets and the Mandelbrot set. With more than enough material for a one-semester course, this book gives readers an appreciation of the beauty and diversity of applications of chaotic dynamics and fractal geometry. It shows how these subjects continue to grow within mathematics and in many other disciplines.

Chaos A Mathematical Introduction

Author : John Banks
ISBN : 0521531047
Genre : Mathematics
File Size : 42. 67 MB
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Presents an introduction to chaos theory.

Fractals Visualization And J Fourth Edition Part 1

Author : Clifford Reiter
ISBN : 9781329873551
Genre :
File Size : 75. 97 MB
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Fractal Physiology And Chaos In Medicine

Author : Bruce J West
ISBN : 9789814417815
Genre : Mathematics
File Size : 32. 7 MB
Format : PDF
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This exceptional book is concerned with the application of fractals and chaos, as well as other concepts from nonlinear dynamics to biomedical phenomena. Herein we seek to communicate the excitement being experienced by scientists upon making application of these concepts within the life sciences. Mathematical concepts are introduced using biomedical data sets and the phenomena being explained take precedence over the mathematics. In this new edition what has withstood the test of time has been updated and modernized; speculations that were not borne out have been expunged and the breakthroughs that have occurred in the intervening years are emphasized. The book provides a comprehensive overview of a nascent theory of medicine, including a new chapter on the theory of complex networks as they pertain to medicine. Contents:IntroductionPhysiology in Fractal DimensionsDynamics in Fractal DimensionsStatistics in Fractal DimensionsApplications of Chaotic AttractorsPhysiologic Networks: The Final Chapter? Readership: Biomedical and physical scientists and students. Keywords:Fractals;Chaos;Physiology;Medicine;Nonlinear Dynamics;Networks;ComplexityReviews: “This book is an excellent introduction to nonlinear dynamics and fractals in medicine.” Zentralbatt MATH

Advanced Topics In Optoelectronics Microelectronics And Nanotechnologies

Author : Ovidiu Iancu
ISBN : 0819459917
Genre : Optoelectronics
File Size : 51. 90 MB
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Proceedings of SPIE present the original research papers presented at SPIE conferences and other high-quality conferences in the broad-ranging fields of optics and photonics. These books provide prompt access to the latest innovations in research and technology in their respective fields. Proceedings of SPIE are among the most cited references in patent literature.

Chaotic Fractal And Nonlinear Signal Processing

Author : Richard Alan Katz
ISBN : UOM:39015038129204
Genre : Science
File Size : 37. 96 MB
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Annotation The conference, organized by the Office of Naval Research, Naval Undersea Warfare Center, focused on methods leading toward the solution of practical problems in engineering and the physical sciences, and to that end entertained a few papers on advanced linear techniques despite the title. The areas covered are mathematical frontiers, the predictability and control of chaos, detection and classification, advance applied signal processing methods, stochastic resonance, machine diagnostics, turbulence, geophysics, medicine, and new methods for modeling nonlinear systems. Among the 58 topics are measures of complexity in signal analysis, channel equalization for communication with chaotic signals, the evolution of frequency content in fluid flow noise, and an oscillatory neural network unit model. No subject index. Annotation c. by Book News, Inc., Portland, Or.

Proceedings Of The Workshop On Neural Networks

Author : Society for Computer Simulation
ISBN : 1565550595
Genre : Neural networks (Computer science)
File Size : 72. 21 MB
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Introduction To Fractals And Chaos

Author : Richard M. Crownover
ISBN : UOM:39015039020527
Genre : Mathematics
File Size : 55. 19 MB
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Proceedings Of The Fifth Workshop On Neural Networks Academic Industrial Nasa Defense

Author : Society for Computer Simulation
ISBN : 1565550595
Genre : Computers
File Size : 89. 59 MB
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Foundations Of Synergetics Ii

Author : Alexander S. Mikhailov
ISBN : UOM:39015041284244
Genre : Science
File Size : 24. 59 MB
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This book is the second of two volumes that together give a comprehensive introduction to the theory of cooperative behavior in active systems. This volume is devoted to the properties of the complex chaotic patterns that can arise in distributed active systems. The reader will encounter strange attractors, fractals, discrete maps, spatio-temporal chaos etc., and will learn how these phenomena relate to the emergence of complex and chaotic patterns. Examples are treated in detail. For this edition the chapter on turbulence in distributed active systems has been rewritten and one on the control of chaotic behaviour has been added. The second edition contains much new material and has been thoroughly revised.

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