Geometric Dynamics Proceedings of the International Symposium held a
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1007 Geometric Dynamics Proceedings of the International Symposium held at the Instituto de Matematica Pura e Aplicada Rio de Janeiro, Brasil, July - August 1981
Edited by J. Palis Jr.
Spri nger-verlag Berlin Heidelberg New York Tokyo 1983
Editor
J. Palis Jr. IMPA - Instituto de Matematica Pura e Aplicada Rua Luiz de Camoes 68, Rio de Janeiro, Brasil
AMS Subject Classifications (1980): 58 ISBN 3-540-12336-9 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12336-9 Springer-Verlag New York Heidelberg Berlin Tokyo Library of Congress Cataloging in Publication Data. Main entry under title: Geometric dynamics. (Lecture notes in mathematics; 1007) English and French. 1. Global analysis (Mathematics)Congresses. I. Palis Junior, Jacob. II. International Symposium on Dynamical Systems (1981: Rio de Janeiro, Brazil). III. Instituto de Matematica Pura e Aplicada (Brazil). IV. Series: Lecture notes in mathematics (Springer-Verlag); 1007. QA3.L28 no.1007 [QA614] 510s [514'.74] 84-14723 ISBN 0-387-12336-9 (U.S.) This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich.
© by Springer-Verlag Berlin Heidelberg 1983 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
DEDICATED TO MAURICIO MATOS PEIXOTO ON HIS SIXTIETH BIRTHDAY
FOREWORD
These are the Proceedings of an }}lternationalS.J'lll-:on Dynamical Systems, that took place at the Instituto de Matematica Pura e Aplicada (IMPA), Rio de Janeiro, in JulyAugust, 1981. The Meeting was to celebrate the opening of IMPA'S new building "Edificio
Gama" , a dream of more than
10
years that came true. Many friends
(mathematicians) contributed to the
success of the Meeting. Financial support came from many sources especially CNPq and FAPESP (Brasil), Brasilian Universities, CNRS (France), GMD (Germany), British Council, NSF (U.S.A), Internationa Mathematical Union (IMU) and Research Councils of Argentina, Chile, Mexico and Venezuela. We are thankful to all and, in particular, to Lindolpho de Carvalho Dias, the Director of IMPA.
CON TEN T S Alligood, K.T.; Paret, J.M.; Yorke,J.A.: An index for the continuation of relatively isolated sets of periodic orbits Asimov, D.; Franks, J.: Unremovable closed orbits
22
Brin, M.; Katok, A.: On local entropy
30
Broer, H.; Strien, S. van: Infinitely many moduli of strong stability in divergence free unfoldings of singularities of vector fields
39
Camacho, C.; Krych, M.; Mane, R.; Nitecki, Z.: An extension of Peixoto's structural stability theorem to open surfaces with finite genus
60
Carvalho, S. de; Roussarie, R.: Some remarks about homoclinic points of second order differential equations
88
Chaperon, M.: O
