An Introduction To Chaotic Dynamical Systems
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An Introduction To Chaotic Dynamical Systems
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Author : Robert L. Devaney
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1986
An Introduction To Chaotic Dynamical Systems written by Robert L. Devaney and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
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.
Chaos
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Author : Kathleen T. Alligood
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-09-27
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 2000-09-27 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.
Introduction To Chaotic Dynamical System
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Author : ROBERT. DEVANEY
language : en
Publisher:
Release Date : 2019-06-14
Introduction To Chaotic Dynamical System written by ROBERT. DEVANEY and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-14 with categories.
An Introduction To Chaotic Dynamical Systems
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Author : Robert Devaney
language : en
Publisher: CRC Press
Release Date : 2018-03-09
An Introduction To Chaotic Dynamical Systems written by Robert 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 2018-03-09 with Mathematics categories.
The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets. This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry. Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas.
A First Course In Chaotic Dynamical Systems
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Author : Robert L. Devaney
language : en
Publisher: CRC Press
Release Date : 2018-05-04
A First Course In 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 2018-05-04 with Mathematics categories.
A First Course in Chaotic Dynamical Systems: Theory and Experiment is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as a gradual introduction to the basic mathematical ideas behind such topics as chaos, fractals, Newton's method, symbolic dynamics, the Julia set, and the Mandelbrot set, and includes biographies of some of the leading researchers in the field of dynamical systems. Mathematical and computer experiments are integrated throughout the text to help illustrate the meaning of the theorems presented. Chaotic Dynamical Systems Software, Labs 1-6 is a supplementary labouratory software package, available separately, that allows a more intuitive understanding of the mathematics behind dynamical systems theory. Combined with A First Course in Chaotic Dynamical Systems , it leads to a rich understanding of this emerging field.
Introduction To Chaotic Dynamical Systems
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Author : Michael A. Bernhard
language : en
Publisher:
Release Date : 1992
Introduction To Chaotic Dynamical Systems written by Michael A. Bernhard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Chaotic behavior in systems categories.
A First Course In Chaotic Dynamical Systems
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Author : Robert L. Devaney
language : en
Publisher: Hachette UK
Release Date : 1992-10-21
A First Course In Chaotic Dynamical Systems written by Robert L. Devaney and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-21 with Science categories.
A First Course in Chaotic Dynamical Systems: Theory and Experiment is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as a gradual introduction to the basic mathematical ideas behind such topics as chaos, fractals, Newton's method, symbolic dynamics, the Julia set, and the Mandelbrot set, and includes biographies of some of the leading researchers in the field of dynamical systems. Mathematical and computer experiments are integrated throughout the text to help illustrate the meaning of the theorems presented.Chaotic Dynamical Systems Software, Labs 1–6 is a supplementary laboratory software package, available separately, that allows a more intuitive understanding of the mathematics behind dynamical systems theory. Combined with A First Course in Chaotic Dynamical Systems, it leads to a rich understanding of this emerging field.
Chaotic Dynamical Systems
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Author : Robert L. Devaney
language : en
Publisher:
Release Date : 1989
Chaotic Dynamical Systems written by Robert L. Devaney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Differential Equations Dynamical Systems And An Introduction To Chaos
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Author : Morris W. Hirsch
language : en
Publisher: Elsevier
Release Date : 2003-12-06
Differential Equations Dynamical Systems And An Introduction To Chaos written by Morris W. Hirsch and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-06 with Mathematics categories.
Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition, provides a rigorous yet accessible introduction to differential equations and dynamical systems. The original text by three of the world's leading mathematicians has become the standard textbook for graduate courses in this area. Thirty years in the making, this Second Edition brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The book explores the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It presents the simplification of many theorem hypotheses and includes bifurcation theory throughout. It contains many new figures and illustrations; a simplified treatment of linear algebra; detailed discussions of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor; and increased coverage of discrete dynamical systems. This book will be particularly useful to advanced students and practitioners in higher mathematics. - Developed by award-winning researchers and authors - Provides a rigorous yet accessible introduction to differential equations and dynamical systems - Includes bifurcation theory throughout - Contains numerous explorations for students to embark upon NEW IN THIS EDITION - New contemporary material and updated applications - Revisions throughout the text, including simplification of many theorem hypotheses - Many new figures and illustrations - Simplified treatment of linear algebra - Detailed discussion of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor - Increased coverage of discrete dynamical systems