(6) AD-A278 115 IIImlllIII ** *.*% .~.. s* .* *. . ... .. .. 18 ', ' .. :i. !':~.:~":.i:~-~.:~..~.-i.:............... (cid:127)iii:(cid:127)(cid:127)i :.:. : :' i::.. :. , : iiii!' ............ ~iiii~'i::!~iii %l' ... ....TOrW T~I... ...A419 .9..4. .. S....i..... .ii ::::::::::::::: ::::: ::.- ... ... .... :.:." ~.'" %.::.:. •. -. ... .. . . . . . . "-'DTIC] 1 ELECTE 1 U 0% • • •• • obie Future Directions of Nonlinear Dynamics in Physical and Biological Systems Edited by P. L. Christiansen J. C. Eilbeck and R. D. Parmentier NATO ASI Series Series B: Physics Vol. 312 94-11254 94 4 12 La Future Directions of Nonlinear Dynamics in Physical and Biological Systems NTIS GRA&I C3 DTIC TAB Uanamnced 0 Justificatio_ Dy- Digs? buat AVaIUabllitY_ .Ie8 Dist Special NATO ASI Series Advanced Science Institutes Series A series presenting the results of activities sponsored by the NA TO Science Committee, which aims at the dissemination of advanceds cientific and technological knowledge, with a view to strengthening links between scientific communities. The series is published by an international board of publishers in conjunction with the NATO Scientific Affairs Division A Life Sciences Plenum Publishing Corporation B Physics New York and London C Mathematical and Physical Sciences Kluwer Academic Publishers D Behavioral and Social Sciences Dordrecht, Boston, and London E Applied Sciences F Computer and Systems Sciences Springer-Vedag G Ecological Sciences Berlin, Heidelberg, New York, London, H Cell Biology Paris, Tokyo, Hong Kong, and Barcelona I Global Environmental Change Recent Volumes in this Series Volume 307-Negative Differential Resistance and Instabilities in 2-D Semiconductors edited by N. Balkan, B. K. Ridley, and A. J. Vickers Volume 308-Photonic Band Gaps and Localization edited by C. M. Soukoulis Volume 309--Magnetism and Structure in Systems of Reduced Dimension edited by Robin F. C. Farrow, Bernard Dieny, Markus Donath, Albert Fert, and B. D. Hermsmeier Volume 310--Integrable Quantum Field Theories edited by L. Bonora, G. Mussardo, A. Schwimmer, L. Girardello, and M. Martellini Volume 311 -Quantitative Particle Physics: Carg6se 1992 edited by Maurice L6vy, Jean-Louis Basdevant, Maurice Jacob, Jean Iliopoulos, Raymond Gastmans, and Jean-Marc Gdrard Volume 312--Future Directions of Nonlinear Dynamics in Physical and Biological Systems edited by P. L. Christiansen, J. C. Eilbeck, and R. D. Parmentier Volume 313--Dissociative Recombination: Theory, Experiment, and Applications edited by Bertrand R. Rowe, J. Brian A. Mitchell, and Andrd Canosa Series B: Physics Future Directions of Nonlinear Dynamics in Physical and Biological Systems Edited by P. L. Christiansen The Technical University of Denmark Lyngby, Denmark J. C. Eilbeck Heriot-Watt University Edinburgh, United Kingdom and R. D. Parmentier University of Salerno Baronissi, Italy MTC QUALMX( 3~~E Plenum Press New York and London Published in cooperation with NATO Scientific Affairs Division Proceedings of a NATO Advanced Study Institute on Future Directions of Nonlinear Dynamics in Physical and Biological Systems, held July 23-August 1, 1992 (in honor of Alwyn Scott's sixtieth birthday), in Lyngby, Denmark NATO-PCO-DATA BASE The electronic index to the NATO ASI Series provides full bibliographical references (with keywords and/or abstracts) to more than 30,000 contributions from international scientists published in all sections of the NATO ASI Series. Access to the NATO-PCO-DATA BASE is possible in two ways: -via online FILE 128 (NATO-PCO-DATA BASE) hosted by ESRIN, Via Galileo Galilei, 1-00044 Frascati, Italy '-via CD-ROM "NATO-PCO-DATA BASE" with user-friendly retrieval software in English, French, and German (©WTV GmbH and DATAWARE Technologies, Inc. 1989) The CD-ROM can be ordered through any member of the Board of Publishers or through NATO-PCO, Overijse, Belgium. Library of Congress Cataloging-in-Publicatton Data Future directions of nonlinear dynamics in physical and biological systems / edited by P.L. Christiansen. J.C. Etlbeck, and R.D. Parment Ier. p. cm. -- (NATO ASI series. Series B, Physics ; v. 312) "Published In cooperation with NATO Scientific Affairs Division." "Proceedings of a NATO Advanced Study Institute on Future Directions of Nonlinear Dynamics in Physical and Biological Systems. held July 23-August 1, 1992 (In honor of Aiwyn Scott's sixtieth birthday) In Lyngby, Oenmark"--T.p. verso. Includes bibliographical references and index. ISBN 0-306-44562-X 1. Dynamics--Congresses. 2. Nonlinear theories--Congresses. 3. Scott, Alwyn, 1931- . I. Christiansen. Peter L.. 1937- II. Elibeck, J. C. III. Parmentier, Robert D. IV. North Atlantic Treaty Organization. Scientific Affairs Division. V. NATO Advanced Study Institute on Future Directions of Nonlinear Dynamics In Physical and Biological Systems (1992 : Lyngby, Denm -k) VI. Series. QC133.F86 1993 93-11313 531 '.11'01175--dc2O CIP ISBN 0-306-44562-X 01993 Plenum Press, New York A Division of Plenum Publishing Corporation 233 Spring Street, New York, N.Y. 10013 All rights reserved No part of this book may be reproduced, stored in retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording, or otherwise, without written permission from the Publisher Printed in the United States of America SPECIAL PROGRAM ON CHAOS, ORDER, AND PATTERNS This book contains the proceedings of a NATO Advanced Research Workshop held within the program of activities of the NATO Special Program on Chaos, Order, and Patterns. Volume 208 -MEASURES OF COMPLEXITY AND CHAOS edited by Neal B. Abraham, Alfonso M. Albano, Anthony Passamante, and Paul E. Rapp Volume 225 -NONLINEAR EVOLUTION OF SPATIO-TEMPORAL STRUCTURES IN DISSIPATIVE CONTINUOUS SYSTEMS edited by F. H. Busse and L. Kramer Volume 235 -DISORDER AND FRACTURE edited by J. C. Charmet, S. Roux, and E. Guyon Volume 236 -MICROSCOPIC SIMULATIONS OF COMPLEX FLOWS edited by Michel Mareschal Volume 240 -GLOBAL CLIMATE AND ECOSYSTEM CHANGE edited by Gordon J. MacDonald and Luigi Sertorio Volume 243 -DAVYDOV'S SOLITON REVISITED: Self-Trapping of Vibrational Energy in Protein edited by Peter L. Christiansen and Alwyn C. Scott Volume 244 -NONLINEAR WAVE PROCESSES IN EXCITABLE MEDIA edited by Arun V. Holden, Mario Markus, and Hans G. Othmer Volume 245 -DIFFERENTIAL GEOMETRIC METHODS IN THEORETICAL PHYSICS: Physics and Geometry edited by Ling-Lie Chau and Werner Nahm Volume 256 -INFORMATION DYNAMICS edited by Harald Atmanspacher and Herbert Scheingraber Volume 260 -SELF-ORGANIZATION, EMERGING PROPERTIES, AND LEARNING edited by Agnessa Babloyantz Volume 263 -BIOLOGICALLY INSPIRED PHYSICS edited by L. Peliti Volume 264 -MICROSCOPIC ASPECTS OF NONLINEARITY IN CONDENSED MATTER edited by A. R. Bishop, V. L. Pokrovsky, and V. Tognetti Volume 268 -THE GLOBAL GEOMETRY OF TURBULENCE: Impact of Nonlinear Dynamics edited by Javier Jim~nez Volume 270 -COMPLEXITY, CHAOS, AND BIOLOGICAL EVOLUTION edited by Erik Mosekilde and Lis Mosekilde DTIC QUALIfY 1Th5-?ECTED SPECIAL PROGRAM ON CHAOS, ORDER, AND PATTERNS Volume 272 -PREDICTABILITY, STABILITY, AND CHAOS IN N-BODY DYNAMICAL SYSTEMS edited by Archie E. Roy Volume 276 -GROWTH AND FORM: Nonlinear Aspects edited by M. Ben Amar, P. Pelce, and P. Tabeling Volume 278 -PAINLEVt TRANSCENDENTS: Their Asymptotics and Physical Applications edited by Decio Levi and Pavel Winternitz Volume 280 -CHAOS, ORDER, AND PATTERNS edited by Roberto Artuso, Predrag Cvitanovid, and Giulio Casati Volume 284 -ASYMPTOTICS BEYOND ALL ORDERS edited by Harvey Segur, Saleh Tanveer, and Herbert Levine Volume 291 -PROTEIN TRANSFER IN HYDROGEN-BONDED SYSTEMS edited by T. Bountis Volume 292 -MICROSCOPIC SIMULATIONS OF COMPLEX HYDRODYNAMIC PHENOMENA edited by Michet Mareschal and Brad Lee Holian Volume 298 -CHAOTIC DYNAMICS: Theory and Practice edited by T. Bountis Volume 312 -FUTURE DIRECTIONS OF NONLINEAR DYNAMICS IN PHYSICAL AND BIOLOGICAL SYSTEMS edited by P. L. Christiansen, J. C. Eilbeck, and R. D. Parmentier PREFACE Early in 1990 a scientific committee was formed for the purpose of organizing a high-level scientific meeting on Future Directions of Nonlinear Dynamics in Physical and Biological Systems, in honor of Alwyn Scott's 60th birthday (December 25, 1991). As preparations for the meeting proceeded, they were met with an unusually broad-scale and high level of enthusiasm on the part of the international nonlinear science community, resulting in a participation by 168 scientists from 23 different countries in the conference, which was held July 23 to August 1 1992 at the Laboratory of Applied Mathematical Physics and the Center for Modelling, Nonlinear Dynamics and Irreversible Thermodynamics (MIDIT) of the Technical University of Denmark. During the meeting about 50 lectures and 100 posters were presented in 9 working days. The contributions to this present volume have been grouped into the following chapters: 1. Integrability, Solitons, and Coherent Structures 2. Nonlinear Fvolution Equations and Diffusive Systems 3. Chaotic and Stochastic Dynamics 4. Classical and Quantum Lattices and Fields 5. Superconductivity and Superconducting Devices 6. Nonlinear Optics 7. Davydov Solitons and Biomolecular Dynamics 8. Biological Systems and Neurophysics. Al Scott has made early and fundamental contributions to many of these different areas of nonlinear science. They form an important subset of the total number of the papers and posters presented at the meeting. Other papers from the meeting are being published in a special issue of Physica D Nonlinear Phenomena. People who have worked with Al know that he insists that everyone should do what he or she likes to do; this is certainly true, but it is also true that from the very early days he has demonstrated a unique ability to stimulate research in new directions. Moreover, his ability to interact with people and to transmit his optimism and enthusiasm to those around him has furnished a solid launching pad for these new lines of research. Many vii friends and colleagues around the world are thankful to Al for having received such a stimulus. This was the essential motivation for our meeting and for the publication of these Proceedings. It is a small way of saying 'Thank you, Al, and many happy returns". It is our pleasure to acknowledge financial support from the NATO Scientific and Environmental Affairs Division (grant SA.9-15-03), the Army Research Office of the United States Army Laboratory Command (grant 29333 MA-CF), the United States Army European Research Office (grant RD 6891-MA-02), the National Science Foundation (grant ASI 910728), the Danish Technical Research Council (grant 16-4932-1 0S), NORDITA, the COWI foundation (grant A-51.77/TJ/IJO), and The Technical University of Denmark (basic research grant to MIDIT). The Scientific Committee, consisting of D.K. Campbell, Los Alamos, G. Careri, Rome, P.L. Christiansen, Lyngby, A.S. Davydov, Kiev, J.C. Eilbeck, Edinburgh, A. Luther, Copenhagen, D.W. McLaughlin, Princeton, A.C. Newell, Tucson, and R.D. Parmentier, Salerno, was particularly helpful in the organization of the scientific program. We warmly thank K. Fisker, L. Fonss, L. Gudmandsen, L. MacNeil, M.P. S0rensen, E. Yde and many students at MIDIT for their generous assistance during the meeting and the preparation of these Proceedings. Peter Christiansen Chris Eilbeck Bob Parmentier viii