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Chaotic Dynamics

1996 Science
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Release : 1996
Genre : Science
Kind : eBook
Book Rating : 060/5 ( reviews)

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Book Synopsis Chaotic Dynamics by : Gregory L. Baker

Download or read book Chaotic Dynamics written by Gregory L. Baker. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: The previous edition of this text was the first to provide a quantitative introduction to chaos and nonlinear dynamics at the undergraduate level. It was widely praised for the clarity of writing and for the unique and effective way in which the authors presented the basic ideas. These same qualities characterize this revised and expanded second edition. Interest in chaotic dynamics has grown explosively in recent years. Applications to practically every scientific field have had a far-reaching impact. As in the first edition, the authors present all the main features of chaotic dynamics using the damped, driven pendulum as the primary model. This second edition includes additional material on the analysis and characterization of chaotic data, and applications of chaos. This new edition of Chaotic Dynamics can be used as a text for courses on chaos for physics and engineering students at the second- and third-year level.

Regular and Chaotic Dynamics

2013-03-14 Mathematics
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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 846/5 ( reviews)

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Book Synopsis Regular and Chaotic Dynamics by : A.J. Lichtenberg

Download or read book Regular and Chaotic Dynamics written by A.J. Lichtenberg. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: This book treats nonlinear dynamics in both Hamiltonian and dissipative systems. The emphasis is on the mechanics for generating chaotic motion, methods of calculating the transitions from regular to chaotic motion, and the dynamical and statistical properties of the dynamics when it is chaotic. The new edition brings the subject matter in a rapidly expanding field up to date, and has greatly expanded the treatment of dissipative dynamics to include most important subjects.

Chaotic Dynamics

2016-12-28 Mathematics
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Release : 2016-12-28
Genre : Mathematics
Kind : eBook
Book Rating : 070/5 ( reviews)

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Book Synopsis Chaotic Dynamics by : Geoffrey R. Goodson

Download or read book Chaotic Dynamics written by Geoffrey R. Goodson. This book was released on 2016-12-28. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook is a rigorous mathematical introduction to dynamical systems and an accessible guide for students transitioning from calculus to advanced mathematics. It has many student-friendly features, such as graded exercises that range from straightforward to more difficult with hints, and includes concrete applications of real analysis and metric space theory to dynamical problems. Proofs are complete and carefully explained, and there is opportunity to practice manipulating algebraic expressions in an applied context of dynamical problems. After presenting a foundation in one-dimensional dynamical systems, the text introduces students to advanced subjects in the latter chapters, such as topological and symbolic dynamics. It includes two-dimensional dynamics, Sharkovsky's theorem, and the theory of substitutions, and takes special care in covering Newton's method. Mathematica code is available online, so that students can see implementation of many of the dynamical aspects of the text.

Concepts and Results in Chaotic Dynamics: A Short Course

2006-10-26 Mathematics
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Release : 2006-10-26
Genre : Mathematics
Kind : eBook
Book Rating : 054/5 ( reviews)

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Book Synopsis Concepts and Results in Chaotic Dynamics: A Short Course by : Pierre Collet

Download or read book Concepts and Results in Chaotic Dynamics: A Short Course written by Pierre Collet. This book was released on 2006-10-26. Available in PDF, EPUB and Kindle. Book excerpt: The study of dynamical systems is a well established field. This book provides a panorama of several aspects of interest to mathematicians and physicists. It collects the material of several courses at the graduate level given by the authors, avoiding detailed proofs in exchange for numerous illustrations and examples. Apart from common subjects in this field, a lot of attention is given to questions of physical measurement and stochastic properties of chaotic dynamical systems.

An Introduction To Chaotic Dynamical Systems

2018-03-09 Mathematics
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Release : 2018-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 937/5 ( reviews)

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Book Synopsis An Introduction To Chaotic Dynamical Systems by : Robert Devaney

Download or read book An Introduction To Chaotic Dynamical Systems written by Robert Devaney. This book was released on 2018-03-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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