Future Directions of Nonlinear Dynamics in Physical and Biological Systems

  • P. L. Christiansen
  • J. C. Eilbeck
  • R. D. Parmentier

Part of the NATO ASI Series book series (NSSB, volume 312)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Integrability, Solitons and Coherent Structures

    1. Robert Conte, Allan Fordy, Andrew Pickering
      Pages 1-5
    2. Ryogo Hirota, Satoshi Tsujimoto, Tatsuya Imai
      Pages 7-15
    3. D. J. Kaup
      Pages 17-25
    4. Morikazu Toda
      Pages 37-43
    5. E. A. Christiansen, J. N. Sørensen, M. Brøns, P. L. Christiansen
      Pages 45-49
    6. E. A. Coutsias, J. P. Lynov, A. H. Nielsen, M. Nielsen, J. Juul Rasmussen, B. Stenum
      Pages 51-54
    7. J. S. Hesthaven, J. P. Lynov, J. Juul Rasmussen, G. G. Sutyrin
      Pages 59-62
    8. Bernard Piette, Wojciech J. Zakrzewski
      Pages 73-76
  3. Nonlinear Evolution Equations and Diffusive Systems

    1. M. V. Bartuccelli, C. D. Doering, J. D. Gibbon, S. J. A. Malham
      Pages 97-100
    2. Sergei A. Darmanyan, Valery I. Rupasov
      Pages 101-104
    3. Silvana De Lillo
      Pages 105-108
    4. Th. Eickermann, R. Grauer, K. H. Spatschek
      Pages 109-112
    5. Zhang Fei, Yuri S. Kivshar, Luis Vázquez
      Pages 113-116
    6. Yuri S. Kivshar, Angel Sánchez, Luis Vázquez
      Pages 117-120
  4. Chaotic and Stochastic Dynamics

    1. Ying-Cheng Lai, Mingzhou Ding, Celso Grebogi
      Pages 129-137
    2. Mikhail I. Rabinovich, Anatoly L. Fabrikant
      Pages 139-151
    3. M. I. Dykman, R. Mannella, P. V. E. McClintock, N. G. Stocks
      Pages 153-156
    4. Eva Slivsgaard, Carsten Knudsen
      Pages 165-168
    5. Gábor Stépán
      Pages 169-172
    6. P. J. Werbos, P. A. Hansson
      Pages 173-176
  5. Classical and Quantum Lattices and Fields

    1. E. Celeghini, M. Rasetti, G. Vitiello
      Pages 177-183
    2. K. A. Gorshkov, O. A. Druzhinin, L. A. Ostrovsky
      Pages 185-194
    3. M. Remoissenet, J. Pouget, J. M. Tamga
      Pages 195-201
    4. R. K. Bullough, N. M. Bogoliubov, G. D. Pang
      Pages 217-222
    5. Ch. Claude, Yu. S. Kivshar, O. Kluth, K. H. Spatschek
      Pages 223-226
    6. H. Gilhøj, J. C. Eilbeck, A. C. Scott
      Pages 227-230
    7. Riccardo Mannella, David Vitali, Luca Bonci, Paolo Grigolini
      Pages 239-242
    8. M. Rose
      Pages 257-260
    9. M. V. Satarić, R. B. Žakula, S. Zeković, J. A. Tuszyński
      Pages 261-264
  6. Superconductivity and Superconducting Devices

About this book


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 11992 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 Evolution 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. AI 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.


chaos mathematical physics thermodynamics

Editors and affiliations

  • P. L. Christiansen
    • 1
  • J. C. Eilbeck
    • 2
  • R. D. Parmentier
    • 3
  1. 1.The Technical University of DenmarkLyngbyDenmark
  2. 2.Heriot-Watt UniversityEdinburghUK
  3. 3.University of SalernoBaronissiItaly

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag US 1993
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4899-1611-2
  • Online ISBN 978-1-4899-1609-9
  • Series Print ISSN 0258-1221
  • Buy this book on publisher's site