Nonlinear Phenomena in Physics and Biology

  • Richard H. Enns
  • Billy L. Jones
  • Robert M. Miura
  • Sadanand S. Rangnekar

Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 75)

Table of contents

  1. Front Matter
    Pages i-x
  2. Computation and Innovation in the Nonlinear Sciences

  3. Introduction to Nonlinear Waves

    1. Alwyn C. Scott
      Pages 7-82
  4. Remarks on Nonlinear Evolution Equations and the Inverse Scattering Transform

  5. The Linearity of Nonlinear Soliton Equations and the Three Wave Resonance Interaction

  6. Contour Dynamics: A Boundary Integral Evolutionary Method for Inviscid Incompressible Flows

  7. Numerical Computation of Nonlinear Waves

    1. Bengt Fornberg
      Pages 157-184
  8. Bifurcations, Fluctuations and Dissipative Structures

  9. Chemical Oscillations

    1. Louis N. Howard
      Pages 313-343
  10. Models in Neurobiology

    1. John Rinzel
      Pages 345-367
  11. Nonlinear Waves in Neuronal Cortical Structures

    1. Robert M. Miura
      Pages 369-400
  12. Bifurcations in Insect Morphogenesis I

    1. Stuart A. Kauffman
      Pages 401-450
  13. Bifurcations in Insect Morphogenesis II

    1. Stuart A. Kauffman
      Pages 451-484
  14. Selection and Evolution in Molecular Systems

    1. Peter Schuster
      Pages 485-548
  15. Escape from Domains of Attraction for Systems Perturbed by Noise

  16. Seminars

  17. Back Matter
    Pages 591-609

About this book


The Advanced Study Institute (ASI) on Nonlinear Phenomena-in Physics and Biology was held at the Banff Centre, Banff, Alberta, Canada, from 17 - 29 August, 1980. The Institute was made possible through funding by the North Atlantic Treaty Organization (who sup­ plied the major portion of the financial aid), the National Research and Engineering Council of Canada, and Simon Fraser University. The availability of the Banff Centre was made possible through the co­ sponsorship (with NATO) of the ASI by the Canadian Association of Physicists. 12 invited lecturers and 82 other participants attended the Institute. Except for two lectures on nonlinear waves by Norman Zabusky, which were omitted because it was felt that they already had been exhaustively treated in the available literature, this volume contains the entire text of the invited lectures. In addition, short reports on some of the contributed talks have also been included. The rationale for the ASI and this resulting volume was that many of the hardest problems and most interesting phenomena being studied by scientists today ar.e nonlinear in nature. The nonlinear models involved often span several different disciplines, °a simple example being the Volterra-type model in population dynamics which has its analogue in nonlinear optics and plasma physics (the 3-wave problem), in the discussion of the social behavior of animals, and in biological competition and selection at the molecular level.


Potential animals behavior bifurcation biological biology differential equation dynamics linear differential equation nonlinear differential equation physics population population dynamics scattering social behavior

Editors and affiliations

  • Richard H. Enns
    • 1
  • Billy L. Jones
    • 1
  • Robert M. Miura
    • 2
  • Sadanand S. Rangnekar
    • 1
  1. 1.Department of PhysicsSimon Fraser UniversityBurnabyCanada
  2. 2.Department of MathematicsUniversity of British ColumbiaVancouverCanada

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag US 1981
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-4108-6
  • Online ISBN 978-1-4684-4106-2
  • Series Print ISSN 0258-1221
  • Buy this book on publisher's site