文档介绍：Chaotic Dynamics
An Introduction Based on Classical Mechanics
Tamas ´ T´eland
M´arton Gruiz
Eotv¨ os¨ University, Budapest
Translated by Katalin
Kulacsy
Three-dimensional graphics
by Szilard´ Hadobas´
CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo
Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK
Published in the United States of America by Cambridge University Press, New York
Information on this title: 0521839129
© T. Tel and M. Gruiz 2006
This publication is in copyright. Subject to statutory exception and to the provision of
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without the written permission of Cambridge University Press.
First published in print format 2006
ISBN-13 978-0-511-33504-4 eBook (NetLibrary)
ISBN-10 0-511-33504-0 eBook (NetLibrary)
ISBN-13 978-0-521-83912-9 hardback
ISBN-10 0-521-83912-2 hardback
ISBN-13 978-0-521-54783-3 paperback
ISBN-10 0-521-54783-0 paperback
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Contents
List of colour plates page ix
Preface xiii
Acknowledgements xv
How to read the book xvi
Part I The phenomenon: complex motion,
unusual geometry 1
1 Chaotic motion 3
What is chaos? 3
Examples of chaotic motion 4
Phase space 19
Definition of chaos; a summary 21
How should chaotic motion be examined? 22
Box Brief history of chaos 23
2 Fractal objects 24
What is a fractal? 24
Types of fractals 32
Fractal distributions 40
Fractals and chaos 45
Box Brief history of fractals 47
Part II Introductory concepts 49
3 Regular motion 51
Instability and stability 51
Box Instability, randomn