Chaotic dynamics : an introduction based on classical mechanics / Tamás Tél, Márton Gruiz ; translated Katalin Kulacsy.

Format:

Book

Author/Creator:

Tél, Tamás, author.

Gruiz, Márton, author.

Contributor:

Kulacsy, Katalin, translator.

Standardized Title:

Kaotikus dinamika. English

Language:

English

Subjects (All):

Chaotic behavior in systems.

Dynamics.

Physical Description:

1 online resource (xvii, 393 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2006.

Language Note:

English

Summary:

In the past few decades we have come to understand that even motions in simple systems can have complex and surprising properties. Chaotic Dynamics provides a clear introduction to these chaotic phenomena, based on geometrical interpretations and simple arguments, without the need for prior in-depth scientific and mathematical knowledge. Richly illustrated throughout, examples are taken from classical mechanics whose elementary laws are familiar to the reader. In order to emphasize the general features of chaos, the most important relations are also given in simple mathematical forms, independent of any mechanical interpretation. A broad range of potential applications are presented, ranging from everyday phenomena through engineering and environmental problems to astronomical aspects. Chaos occurs in a variety of scientific disciplines, and proves to be the rule, not the exception. This book is primarily intended for undergraduate students in science, engineering, and mathematics.

Contents:

List of colour plates

Preface

Acknowledgements

How to read the book

pt. 1. The phenomenon : complex motion, unusual geometry

1. Chaotic motion

2. Fractal objects

pt. 2. Introductory concepts

3. Regular motion

4. Driven motion

pt. 3. Investigation of chaotic motion

5. Chaos in dissipative systems

6. Transient chaos in dissipative systems

7. Chaos in conservative systems

8. Chaotic scattering

9. Applications of chaos

10. Epilogue : outlook

Appendix

A.1. Deriving stroboscopic maps

A.2. Writing equations in dimensionless forms

A.3. Numerical solution of ordinary differential equations

A.4. Sample programs

A.5. Numerical determination of chaos parameters

Solutions to the problems

Bibliography

Index.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-15099-X

1-281-04011-8

9786611040116

0-511-80327-3

0-511-33380-3

0-511-33446-X

0-511-33312-9

0-511-56721-9

0-511-33504-0

OCLC:

761647134