Modern Birkhäuser CIassics Many of the original research and survey monographs in pure and applied mathematics published by Birkhäuser in recent decades have been groundbreaking and have come to be regarded as foundational to the subject. Through the MBC Series, a select number of these modern classics, entirely uncorrected, are being re-released in paperback (and as eBooks) to ensure that these treasures remain accessible to new generations of students, scholars, and researchers.
Iterated Maps on the Interval as Dynamical Systems
Pierre Collet Jean-Pierre Eckmann
Reprint of the 1980 Edition Birkh¨auser Boston • Basel • Berlin
Jean-Pierre Eckmann Département de Physique Théorique Université de Genève 1211 Genève 4, Switzerland
[email protected]
Pierre Collet Centre de Physique Théorique École Polytechnique 91128 Palaiseau Cedex, France
[email protected]
Originally published in the series Progress in Physics
ISBN 978-0-8176-4926-5 DOI 10.1007/978-0-8176-4927-2
e-ISBN 978-0-8176-4927-2
Library of Congress Control Number: 2009932682 Mathematics Subject Classification (2000): 26A18, 37-XX, 37E05, 46T20 c Birkhaus ¨ er Boston, a part of Springer Science+Business Media, LLC 2009 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Birkha¨user Boston, c/o Springer Science+Business Media, LLC, 233 Spring Street, New York, NY, 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.
Printed on acid-free paper Birkhäuser Boston is part of Springer Science+Business Media (www.birkhauser.com)
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P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_1, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_2, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
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P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_3, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_4, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_5, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_6, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_7, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_8, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_9, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_10, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_11, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_12, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_13, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_14, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_15, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_16, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_17, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_18, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Modern Birkhäuser Classics, DOI 10.1007/978-0-8176-4927-2_19, © Birkhäuser Boston, a part of Springer Science + Business Media, LLC 2009
