Applied Chaos

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Applied Chaos Theory

Ali Bulent Cambel
Applied Chaos Theory Book PDF

Author : Ali Bulent Cambel
Publisher : Elsevier
Page : 246 pages
File Size : 43,7 Mb
Release : 1993-01-25
Category : Mathematics
ISBN : 9780080571362

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Applied Chaos Theory by Ali Bulent Cambel Pdf

This book differs from others on Chaos Theory in that it focuses on its applications for understanding complex phenomena. The emphasis is on the interpretation of the equations rather than on the details of the mathematical derivations. The presentation is interdisciplinary in its approach to real-life problems: it integrates nonlinear dynamics, nonequilibrium thermodynamics, information theory, and fractal geometry. An effort has been made to present the material ina reader-friendly manner, and examples are chosen from real life situations. Recent findings on the diagnostics and control of chaos are presented, and suggestions are made for setting up a simple laboratory. Included is a list of topics for further discussion that may serve not only for personal practice or homework, but also as themes for theses, dissertations, and research proposals. Includes laboratory experiments Includes applications and case studies related to cell differentiation, EKGs, and immunology Presents interdisciplinary applications of chaos theory to complex systems Emphasizes the meaning of mathematical equations rather than their derivations Features reader friendly presentation with many illustrations and interpretations Deals with real life, dissipative systemsIntegrates mathematical theory throughout the text

Applied Chaos

J. H. Kim,John Stringer
Applied Chaos Book PDF

Author : J. H. Kim,John Stringer
Publisher : Wiley-VCH
Page : 576 pages
File Size : 42,5 Mb
Release : 1992-10-14
Category : Science
ISBN : UOM:39015029183293

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Applied Chaos by J. H. Kim,John Stringer Pdf

Contains an edited collection of papers by experts from all disciplines of chaos which are the result of the International Workshop on Applications of Chaos, sponsored by the Electric Power Research Institute. Focusing on the actual and potential methodologies of the latest investigations in chaos dynamics, topics presented here run the gamut from the dynamics of electrocardiograph information and the instability of conveyor belts to the time series modeling and control of chaos.

Applied Chaos and Complexity Theory in Education

Erçetin, ?efika ?ule
Applied Chaos and Complexity Theory in Education Book PDF

Author : Erçetin, ?efika ?ule
Publisher : IGI Global
Page : 299 pages
File Size : 48,9 Mb
Release : 2016-05-23
Category : Education
ISBN : 9781522504610

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Applied Chaos and Complexity Theory in Education by Erçetin, ?efika ?ule Pdf

As a field of mathematical study, chaos and complexity theory analyzes the state of dynamical systems by evaluating how they interact, evolve, and adapt. Though this theory impacts a variety of disciplines, it also has significant influence on educational systems and settings. Applied Chaos and Complexity Theory in Education examines the application of the theories of chaos and complexity in relation to educational systems and institutions. Featuring emergent research and perspectives on mathematical patterns in educational settings and instructional practices, this book is a comprehensive reference source for researchers, scholars, mathematicians, and graduate students.

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Stephen Wiggins
Introduction to Applied Nonlinear Dynamical Systems and Chaos Book PDF

Author : Stephen Wiggins
Publisher : Springer Science & Business Media
Page : 860 pages
File Size : 50,7 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387217499

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Introduction to Applied Nonlinear Dynamical Systems and Chaos by Stephen Wiggins Pdf

This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik

Chaos

Andrew Fowler,Mark McGuinness
Chaos Book PDF

Author : Andrew Fowler,Mark McGuinness
Publisher : Springer Nature
Page : 303 pages
File Size : 40,5 Mb
Release : 2020-02-06
Category : Mathematics
ISBN : 9783030325381

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Chaos by Andrew Fowler,Mark McGuinness Pdf

This is a textbook on chaos and nonlinear dynamics, written by applied mathematicians for applied mathematicians. It aims to tread a middle ground between the mathematician's rigour and the physicist’s pragmatism. While the subject matter is now classical and can be found in many other books, what distinguishes this book is its philosophical approach, its breadth, its conciseness, and its exploration of intellectual byways, as well as its liberal and informative use of illustration. Written at the graduate student level, the book occasionally drifts from classical material to explore new avenues of thought, sometimes in the exercises. A key feature of the book is its holistic approach, encompassing the development of the subject since the time of Poincaré, and including detailed material on maps, homoclinic bifurcations, Hamiltonian systems, as well as more eclectic items such as Julia and Mandelbrot sets. Some of the more involved codes to produce the figures are described in the appendix. Based on lectures to upper undergraduates and beginning graduate students, this textbook is ideally suited for courses at this level and each chapter includes a set of exercises of varying levels of difficulty.

Chaos in Classical and Quantum Mechanics

Martin C. Gutzwiller
Chaos in Classical and Quantum Mechanics Book PDF

Author : Martin C. Gutzwiller
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 48,5 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 9781461209836

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Chaos in Classical and Quantum Mechanics by Martin C. Gutzwiller Pdf

Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.

Transient Chaos

Ying-Cheng Lai,Tamás Tél
Transient Chaos Book PDF

Author : Ying-Cheng Lai,Tamás Tél
Publisher : Springer Science & Business Media
Page : 499 pages
File Size : 41,8 Mb
Release : 2011-02-26
Category : Mathematics
ISBN : 9781441969873

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Transient Chaos by Ying-Cheng Lai,Tamás Tél Pdf

The aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos. One belief that motivates us to write this book is that, transient chaos may not have been appreciated even within the nonlinear-science community, let alone other scientific disciplines.

Global Bifurcations and Chaos

Stephen Wiggins
Global Bifurcations and Chaos Book PDF

Author : Stephen Wiggins
Publisher : Springer Science & Business Media
Page : 505 pages
File Size : 53,8 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 9781461210429

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Global Bifurcations and Chaos by Stephen Wiggins Pdf

Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems. These techniques can be viewed as generalizations of Melnikov's method to multi-degree of freedom systems subject to slowly varying parameters and quasiperiodic excitations. A unique feature of the book is that each theorem is illustrated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory.

Applied Chaos Theory

Ali Bulent Cambel
Applied Chaos Theory Book PDF

Author : Ali Bulent Cambel
Publisher : Academic Press
Page : 268 pages
File Size : 54,5 Mb
Release : 1993
Category : Computers
ISBN : MINN:31951D00970563E

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Applied Chaos Theory by Ali Bulent Cambel Pdf

This volume develops the mathematical, historical, and applied aspects of chaos theory and complexity, which have extensive practical appplications in biology, statistics, economics, engineering, and mathematics.

Applied Symbolic Dynamics and Chaos

Bai-lin Hao,Wei-Mou Zheng
Applied Symbolic Dynamics and Chaos Book PDF

Author : Bai-lin Hao,Wei-Mou Zheng
Publisher : World Scientific
Page : 468 pages
File Size : 44,7 Mb
Release : 1998
Category : Science
ISBN : 9810235127

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Applied Symbolic Dynamics and Chaos by Bai-lin Hao,Wei-Mou Zheng Pdf

Symbolic dynamics is a coarse-grained description of dynamics. It provides a rigorous way to understand the global systematics of periodic and chaotic motion in a system. In the last decade it has been applied to nonlinear systems described by one- and two-dimensional maps as well as by ordinary differential equations. This book will help practitioners in nonlinear science and engineering to master that powerful tool.

Applied Symbolic Dynamics And Chaos

Bailin Hao,Wei-mou Zheng
Applied Symbolic Dynamics And Chaos Book PDF

Author : Bailin Hao,Wei-mou Zheng
Publisher : World Scientific
Page : 460 pages
File Size : 44,6 Mb
Release : 1998-07-04
Category : Science
ISBN : 9789814495974

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Applied Symbolic Dynamics And Chaos by Bailin Hao,Wei-mou Zheng Pdf

Latest Edition: Applied Symbolic Dynamics and Chaos (2nd Edition)Symbolic dynamics is a coarse-grained description of dynamics. It provides a rigorous way to understand the global systematics of periodic and chaotic motion in a system. In the last decade it has been applied to nonlinear systems described by one- and two-dimensional maps as well as by ordinary differential equations. This book will help practitioners in nonlinear science and engineering to master that powerful tool.

Chaos, Fractals, and Noise

Andrzej Lasota,Michael C. Mackey
Chaos Fractals and Noise Book PDF

Author : Andrzej Lasota,Michael C. Mackey
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 51,6 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 9781461242864

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Chaos, Fractals, and Noise by Andrzej Lasota,Michael C. Mackey Pdf

The first edition of this book was originally published in 1985 under the ti tle "Probabilistic Properties of Deterministic Systems. " In the intervening years, interest in so-called "chaotic" systems has continued unabated but with a more thoughtful and sober eye toward applications, as befits a ma turing field. This interest in the serious usage of the concepts and techniques of nonlinear dynamics by applied scientists has probably been spurred more by the availability of inexpensive computers than by any other factor. Thus, computer experiments have been prominent, suggesting the wealth of phe nomena that may be resident in nonlinear systems. In particular, they allow one to observe the interdependence between the deterministic and probabilistic properties of these systems such as the existence of invariant measures and densities, statistical stability and periodicity, the influence of stochastic perturbations, the formation of attractors, and many others. The aim of the book, and especially of this second edition, is to present recent theoretical methods which allow one to study these effects. We have taken the opportunity in this second edition to not only correct the errors of the first edition, but also to add substantially new material in five sections and a new chapter.

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Stephen Wiggins
Introduction to Applied Nonlinear Dynamical Systems and Chaos Book PDF

Author : Stephen Wiggins
Publisher : Springer Science & Business Media
Page : 860 pages
File Size : 50,8 Mb
Release : 2003-10-01
Category : Mathematics
ISBN : 9780387001777

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Introduction to Applied Nonlinear Dynamical Systems and Chaos by Stephen Wiggins Pdf

This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik

Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities

Marian Wiercigroch,Bram de Kraker
Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities Book PDF

Author : Marian Wiercigroch,Bram de Kraker
Publisher : World Scientific
Page : 466 pages
File Size : 44,6 Mb
Release : 2000
Category : Technology & Engineering
ISBN : 9810229275

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Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities by Marian Wiercigroch,Bram de Kraker Pdf

Annotation Consisting primarily of contributions written by engineers from Europe, Asia, and the US, this volume provides a general methodology for describing, solving, and analyzing discontinuous systems. The focus is on mechanical engineering problems where clearances, piecewise stiffness, intermittent contact, variable friction, or other forms of discontinuity occur. Practical applications include vibration absorbers, percussive drilling of hard materials, and dynamics of metal cutting. Of likely interest to new and experienced researchers working in the field of applied mathematics and physics, mechanical and civil engineering, and manufacturing. Lacks a subject index. Annotation copyrighted by Book News, Inc., Portland, OR.

Application of Chaos and Fractals to Computer Vision

Michael E. Farmer
Application of Chaos and Fractals to Computer Vision Book PDF

Author : Michael E. Farmer
Publisher : Bentham Science Publishers
Page : 333 pages
File Size : 46,9 Mb
Release : 2015-07-23
Category : Computers
ISBN : 9781608059003

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Application of Chaos and Fractals to Computer Vision by Michael E. Farmer Pdf

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.