Chaos In Discrete Dynamical Systems
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Chaos In Discrete Dynamical Systems
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Author : Ralph Abraham
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Chaos In Discrete Dynamical Systems written by Ralph Abraham and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
The materials in the book and on the accompanying disc are not solely developed with only the researcher and professional in mind, but also with consideration for the student: most of this material has been class-tested by the authors. The book is packed with some 100 computer graphics to illustrate the material, and the CD-ROM contains full-colour animations tied directly to the subject matter of the book itself. The cross-platform CD also contains the program ENDO, which enables users to create their own 2-D imagery with X-Windows. Maple scripts are provided to allow readers to work directly with the code from which the graphics in the book were taken.
Chaos In Discrete Dynamical Systems Medienkombination
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Author :
language : en
Publisher:
Release Date : 1997
Chaos In Discrete Dynamical Systems Medienkombination written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Chaos
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Author : Kathleen T. Alligood
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-06
Chaos written by Kathleen T. Alligood and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-06 with Mathematics categories.
Developed and class-tested by a distinguished team of authors at two universities, this text is intended for courses in nonlinear dynamics in either mathematics or physics. The only prerequisites are calculus, differential equations, and linear algebra. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits -- short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed for use with any software package. And each chapter ends with a Challenge, guiding students through an advanced topic in the form of an extended exercise.
Discrete Chaos
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Author : Saber N. Elaydi
language : en
Publisher: CRC Press
Release Date : 2007-11-09
Discrete Chaos written by Saber N. Elaydi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-09 with Mathematics categories.
While maintaining the lucidity of the first edition, Discrete Chaos, Second Edition: With Applications in Science and Engineering now includes many recent results on global stability, bifurcation, chaos, and fractals. The first five chapters provide the most comprehensive material on discrete dynamical systems, including trace-determi
Introduction To Discrete Dynamical Systems And Chaos
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Author : Mario Martelli
language : en
Publisher: John Wiley & Sons
Release Date : 2011-11-01
Introduction To Discrete Dynamical Systems And Chaos written by Mario Martelli and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-01 with Mathematics categories.
A timely, accessible introduction to the mathematics of chaos. The past three decades have seen dramatic developments in the theory of dynamical systems, particularly regarding the exploration of chaotic behavior. Complex patterns of even simple processes arising in biology, chemistry, physics, engineering, economics, and a host of other disciplines have been investigated, explained, and utilized. Introduction to Discrete Dynamical Systems and Chaos makes these exciting and important ideas accessible to students and scientists by assuming, as a background, only the standard undergraduate training in calculus and linear algebra. Chaos is introduced at the outset and is then incorporated as an integral part of the theory of discrete dynamical systems in one or more dimensions. Both phase space and parameter space analysis are developed with ample exercises, more than 100 figures, and important practical examples such as the dynamics of atmospheric changes and neural networks. An appendix provides readers with clear guidelines on how to use Mathematica to explore discrete dynamical systems numerically. Selected programs can also be downloaded from a Wiley ftp site (address in preface). Another appendix lists possible projects that can be assigned for classroom investigation. Based on the author's 1993 book, but boasting at least 60% new, revised, and updated material, the present Introduction to Discrete Dynamical Systems and Chaos is a unique and extremely useful resource for all scientists interested in this active and intensely studied field.
An Introduction To Chaotic Dynamical Systems
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Author : Robert L. Devaney
language : en
Publisher: CRC Press
Release Date : 2021-11-28
An Introduction To Chaotic Dynamical Systems written by Robert L. Devaney and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-28 with Mathematics categories.
There is an explosion of interest in dynamical systems in the mathematical community as well as in many areas of science. The results have been truly exciting: systems which once seemed completely intractable from an analytic point of view can now be understood in a geometric or qualitative sense rather easily. Scientists and engineers realize the power and the beauty of the geometric and qualitative techniques. These techniques apply to a number of important nonlinear problems ranging from physics and chemistry to ecology and economics. Computer graphics have allowed us to view the dynamical behavior geometrically. The appearance of incredibly beautiful and intricate objects such as the Mandelbrot set, the Julia set, and other fractals have really piqued interest in the field. This is text is aimed primarily at advanced undergraduate and beginning graduate students. Throughout, the author emphasizes the mathematical aspects of the theory of discrete dynamical systems, not the many and diverse applications of this theory. The field of dynamical systems and especially the study of chaotic systems has been hailed as one of the important breakthroughs in science in the past century and its importance continues to expand. There is no question that the field is becoming more and more important in a variety of scientific disciplines. New to this edition: •Greatly expanded coverage complex dynamics now in Chapter 2 •The third chapter is now devoted to higher dimensional dynamical systems. •Chapters 2 and 3 are independent of one another. •New exercises have been added throughout.
Discrete Dynamical Systems And Chaotic Machines
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Author : Jacques Bahi
language : en
Publisher: CRC Press
Release Date : 2013-06-07
Discrete Dynamical Systems And Chaotic Machines written by Jacques Bahi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-07 with Computers categories.
For computer scientists, especially those in the security field, the use of chaos has been limited to the computation of a small collection of famous but unsuitable maps that offer no explanation of why chaos is relevant in the considered contexts. Discrete Dynamical Systems and Chaotic Machines: Theory and Applications shows how to make finite mac
Discrete Dynamical Systems And Chaos
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Author : M Martelli
language : en
Publisher: Chapman and Hall/CRC
Release Date : 1992-12-21
Discrete Dynamical Systems And Chaos written by M Martelli and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-12-21 with Mathematics categories.
Weather patterns, laser pulsations, chemical reactions, cardiac arrythmias, epilepsy, neural networks processes, market prices and oscillations are some of the areas where the presence of chaotic behaviour has been detected.
Discrete Dynamical Systems Chaos Theory And Fractals
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Author : Linda Sundbye
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-10-05
Discrete Dynamical Systems Chaos Theory And Fractals written by Linda Sundbye and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-05 with categories.
An introductory undergraduate level text on chaos theory, nonlinear dynamics and fractal geometry.
Discrete Dynamical Systems Bifurcations And Chaos In Economics
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Author : Wei-Bin Zhang
language : en
Publisher: Elsevier
Release Date : 2006-01-05
Discrete Dynamical Systems Bifurcations And Chaos In Economics written by Wei-Bin Zhang and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-05 with Mathematics categories.
This book is a unique blend of difference equations theory and its exciting applications to economics. It deals with not only theory of linear (and linearized) difference equations, but also nonlinear dynamical systems which have been widely applied to economic analysis in recent years. It studies most important concepts and theorems in difference equations theory in a way that can be understood by anyone who has basic knowledge of calculus and linear algebra. It contains well-known applications and many recent developments in different fields of economics. The book also simulates many models to illustrate paths of economic dynamics. A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics Mathematical definitions and theorems are introduced in a systematic and easily accessible way Examples are from almost all fields of economics; technically proceeding from basic to advanced topics Lively illustrations with numerous figures Numerous simulation to see paths of economic dynamics Comprehensive treatment of the subject with a comprehensive and easily accessible approach