Chaotic dynamics : an introduction / Gregory L. Baker and Jerry P. Gollub.

By: Baker, Gregory L .

Contributor(s): Gollub, J. P, 1944-.

Material type: materialTypeLabel

BookPublisher: Cambridge ; . New York : Cambridge University Press, 1996Edition: 2nd ed.Description: xiv, 256 p. : ill ; 26 cm. + pbk.ISBN: 0521471060 ; 0521476852 .Subject(s): Pendulum

| Chaotic behavior in systems

DDC classification: 003.85

Contents:

Introduction -- Some helpful tools -- Visualization of the pendulum's dynamics -- Toward an understanding of chaos -- The characterization of chaotic attractors -- Experimental characterization, prediction and modification of chaotic states -- Chaos broadly applied.

Holdings
Item type	Current library	Call number	Copy number	Status	Date due	Barcode	Item holds
General Lending	MTU Bishopstown Library Lending	003.85 (Browse shelf(Opens below))	1	Available		00016301

Total holds: 0

Enhanced descriptions from Syndetics:

The previous edition of this text was the first to provide a quantitative introduction to chaos and nonlinear dynamics at undergraduate level. It was widely praised for the clarity of the writing and for the unique and effective way in which the authors presented the basic ideas. These same qualities characterise this revised and expanded second edition. Interest in chaotic dynamics has grown explosively in recent years. Applications to practically every scientific field have had 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 characterisation 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.

Includes bibliographical references (pages 246-252) and index.

Table of contents provided by Syndetics

1 Introduction
2 Some helpful tools
3 Visualization of the pendulumÆs dynamics
4 Toward an understanding of chaos
5 The characterization of chaotic attractors
6 Experimental characterization, prediction, and modification of chaotic states
7 Chaos broadly applied
Further reading
Appendix A Numerical integration û Runge-Kutta method
Appendix B Computer program listings
References
Index

Reviews provided by Syndetics

CHOICE Review

James Gleick's immensely popular book Chaos: Making a New Science (CH, Feb'88) generated interest in and a need for an undergraduate-level introduction to nonlinear dynamics. This brief book is a most welcome entry in this area, and Baker and Gollub are well qualified, both as scientists and teachers, to introduce calculus-literate students to the details of methods only vaguely described in the popularizations. The central example of the book, the driven oscillator, demonstrates the main tactics of modeling (maps, Lyapunov exponents, attractors, fractal dimensions, etc.) through (separately acquired) PC software, written in TrueBASIC for ease of modification by undergraduate programmers. The topics are well enough annotated for graduate-level introduction, and a bibliography of popular and introductory readings is provided. There are some shortcomings to this book. The introductory chapter and problems on tools are too sketchy, and the computer simulations are not as versatile as those of the popular competition (e.g., Chaos in the Classroom software, 1989). On the other hand, later chapters characterizing chaos, and the brief concluding essay on the role of chaos in physics and chemistry, are quite appropriate for an audience of second-year physics students, and this book is highly recommended for them and their teachers. P. D. Skiff Bard College