Concepts and Results in Chaotic Dynamics: A Short Course
The study of dynamical systems is a well established field. The authors have written this book in an attempt to provide a panorama of several aspects, that are of interest to mathematicians and physicists alike. The book collects the material of several c
- PDF / 11,637,864 Bytes
- 236 Pages / 439.455 x 666.283 pts Page_size
- 15 Downloads / 203 Views
Editorial Board W. Beiglböck, Institute of Applied Mathematics, University of Heidelberg, Germany J.-P. Eckmann, Department of Theoretical Physics, University of Geneva, Switzerland H. Grosse, Institute of Theoretical Physics, University of Vienna, Austria M. Loss, School of Mathematics, Georgia Institute of Technology, Atlanta, GA, USA S. Smirnov, Mathematics Section, University of Geneva, Switzerland L. Takhtajan, Department of Mathematics, Stony Brook University, NY, USA J. Yngvason, Institute of Theoretical Physics, University of Vienna, Austria
Pierre Collet Jean-Pierre Eckmann
Concepts and Results in Chaotic Dynamics: A Short Course With 67 Figures
ABC
Pierre Collet
Jean-Pierre Eckmann
Center of Theoretical Physics École Polytechnique 91128 Palaiseau, France
Department of Theoretical Physics and Mathematics Section University of Geneva 1211 Geneva 4, Switzerland
E-mail: [email protected]
E-mail: [email protected]
Mathematics Subject Classification (2000): 37-01, 37A50 Library of Congress Control Number: 2006931058 ISBN-10 3-540-34705-4 Springer Berlin Heidelberg New York ISBN-13 978-3-540-34705-7 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com c Springer-Verlag Berlin Heidelberg 2006 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: by the authors and techbooks using a Springer LATEX macro package Cover design: eStudio Calamar, Girona, Spain Printed on acid-free paper
SPIN: 11767503
41/techbooks
543210
To Sonia and Doris
Preface
This book is devoted to the subject commonly called Chaotic Dynamics, namely the study of complicated behavior in time of maps and flows, called dynamical systems. The theory of chaotic dynamics has a deep impact on our understanding of Nature, and we sketch here our view on this question. The strength of this theory comes from its generality, in that it is not limited to a particular equation or scientific domain. It should be viewed as a conceptual framework with which one can capture properties of systems with complicated behavior. Obviously, such a general framework cannot describe a system down to its most intricate details, but it is a useful and important guideline on how
Data Loading...
