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Future Directions of Nonlinear Dynamics in Physical and Biological Systems

  • Book
  • © 1993

Overview

Editors:
  1. P. L. Christiansen

    1. The Technical University of Denmark, Lyngby, Denmark

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  2. J. C. Eilbeck

    1. Heriot-Watt University, Edinburgh, UK

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  3. R. D. Parmentier

    1. University of Salerno, Baronissi, Italy

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Part of the book series: NATO Science Series B: (NSSB, volume 312)

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Table of contents (87 chapters)

  1. Nonlinear Evolution Equations and Diffusive Systems

    1. Two and Many Impurity Effects in Soliton Dynamics

      • Yuri S. Kivshar, Angel Sánchez, Luis Vázquez
      Pages 117-120

    2. Self-Focussing of Coupled Guided Acoustic Waves at a Nonlinear Resonance

      • A. P. Mayer
      Pages 121-124

    3. Some Exact Wave Solutions in Terms of the Weierstrass Functions for Nonlinear Hyperbolic Equations

      • Alexander M. Samsonov
      Pages 125-128

  2. Chaotic and Stochastic Dynamics

    1. Controlling Chaos in Hamiltonian Systems

      • Ying-Cheng Lai, Mingzhou Ding, Celso Grebogi
      Pages 129-137

    2. Deterministic Disorder in Two-Dimensional Media

      • Mikhail I. Rabinovich, Anatoly L. Fabrikant
      Pages 139-151

    3. Phase Shifts and Nonlinear Effects in Stochastic Resonance

      • M. I. Dykman, R. Mannella, P. V. E. McClintock, N. G. Stocks
      Pages 153-156

    4. Controlling Dependence on Initial Conditions in Chaotic Systems

      • T. Kapitaniak
      Pages 157-160

    5. Dynamical Systems Analysis of an Aerodynamic Decelerator: Bifurcation to Divergence and Flutter

      • Louis J. Piscitelle
      Pages 161-164

    6. Chaos in a Model of a Railway Wheelset

      • Eva Slivsgaard, Carsten Knudsen
      Pages 165-168

    7. Nonlinear Modelling of Shimmying Wheels

      • Gábor Stépán
      Pages 169-172

    8. Chaotic Solitons and Vacuum

      • P. J. Werbos, P. A. Hansson
      Pages 173-176

  3. Classical and Quantum Lattices and Fields

    1. Q-Hermitian Conjugation, Quantum Groups and Squeezing

      • E. Celeghini, M. Rasetti, G. Vitiello
      Pages 177-183

    2. Large-Amplitude Narrow Solitons in Lattices

      • K. A. Gorshkov, O. A. Druzhinin, L. A. Ostrovsky
      Pages 185-194

    3. Dynamical Structures in 2D Lattices

      • M. Remoissenet, J. Pouget, J. M. Tamga
      Pages 195-201

    4. Model Hamiltonian, Coherent State and Anharmonic Localized Modes as Dynamical Self-Trapping in Nonlinear Systems and Biological Macromolecules

      • Shozo Takeno
      Pages 203-212

    5. Quantum Holstein Polaron Model and Classical Charged Gas on a Ring

      • Xidi Wang
      Pages 213-216

    6. The Quantum Ablowitz-Ladik Equation as a Q-Boson System

      • R. K. Bullough, N. M. Bogoliubov, G. D. Pang
      Pages 217-222

    7. Moving Localized Modes in Nonlinear Lattices

      • Ch. Claude, Yu. S. Kivshar, O. Kluth, K. H. Spatschek
      Pages 223-226

    8. Quantum Solitons in the DNLS and Hubbard Models

      • H. Gilhøj, J. C. Eilbeck, A. C. Scott
      Pages 227-230

    9. Stationary Solitons in Discrete Lattices of Different Dimensionality

      • V. A. Kuprievich
      Pages 231-234
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Keywords

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.

Editors and Affiliations

  • The Technical University of Denmark, Lyngby, Denmark

    P. L. Christiansen

  • Heriot-Watt University, Edinburgh, UK

    J. C. Eilbeck

  • University of Salerno, Baronissi, Italy

    R. D. Parmentier

Bibliographic Information

  • Book Title: Future Directions of Nonlinear Dynamics in Physical and Biological Systems

  • Editors: P. L. Christiansen, J. C. Eilbeck, R. D. Parmentier

  • Series Title: NATO Science Series B:

  • DOI: https://doi.org/10.1007/978-1-4899-1609-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1993

  • Hardcover ISBN: 978-0-306-44562-0Published: 30 November 1993

  • Softcover ISBN: 978-1-4899-1611-2Published: 17 June 2013

  • eBook ISBN: 978-1-4899-1609-9Published: 11 November 2013

  • Series ISSN: 0258-1221

  • Edition Number: 1

  • Number of Pages: XV, 557

  • Topics: Biological and Medical Physics, Biophysics, Theoretical, Mathematical and Computational Physics

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