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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_
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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,
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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
