Nonlinear Phenomena in Physics and Biology

1. Front Matter

   Pages i-x

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2. Computation and Innovation in the Nonlinear Sciences

   1. Computation and Innovation in the Nonlinear Sciences

      • Norman J. Zabusky

      Pages 1-6

3. Introduction to Nonlinear Waves

   1. Introduction to Nonlinear Waves

      • Alwyn C. Scott

      Pages 7-82

4. Remarks on Nonlinear Evolution Equations and the Inverse Scattering Transform

   1. Remarks on Nonlinear Evolution Equations and the Inverse Scattering Transform

      • Mark J. Ablowitz

      Pages 83-94

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

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

      • D. J. Kaup

      Pages 95-123

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

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

      • Norman J. Zabusky

      Pages 125-156

7. Numerical Computation of Nonlinear Waves

   1. Numerical Computation of Nonlinear Waves

      • Bengt Fornberg

      Pages 157-184

8. Bifurcations, Fluctuations and Dissipative Structures

   1. Bifurcations, Fluctuations and Dissipative Structures

      • G. Nicolis

      Pages 185-311

9. Chemical Oscillations

   1. Chemical Oscillations

      • Louis N. Howard

      Pages 313-343

10. Models in Neurobiology

    1. Models in Neurobiology

       • John Rinzel

       Pages 345-367

11. Nonlinear Waves in Neuronal Cortical Structures

    1. Nonlinear Waves in Neuronal Cortical Structures

       • Robert M. Miura

       Pages 369-400

12. Bifurcations in Insect Morphogenesis I

    1. Bifurcations in Insect Morphogenesis I

       • Stuart A. Kauffman

       Pages 401-450

13. Bifurcations in Insect Morphogenesis II

    1. Bifurcations in Insect Morphogenesis II

       • Stuart A. Kauffman

       Pages 451-484

14. Selection and Evolution in Molecular Systems

    1. Selection and Evolution in Molecular Systems

       • Peter Schuster

       Pages 485-548

15. Escape from Domains of Attraction for Systems Perturbed by Noise

    1. Escape from Domains of Attraction for Systems Perturbed by Noise

       • Donald Ludwig

       Pages 549-566

16. Seminars

    1. Front Matter

       Pages 567-567

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    2. Error Propagation in Translation and its Relevance to the Nucleation of Life

       • Geoffrey W. Hoffmann

       Pages 569-570

    3. Pseudopotentials and Symmetries for Generalized Nonlinear Schrödinger Equations

       • J. Harnad, P. Winternitz

       Pages 571-572

    4. Superposition Principles for Nonlinear Differential Equations

       • R. L. Anderson, J. Harnad, P. Winternitz

       Pages 573-576

    5. On Some Nonlinear Schrödinger Equations

       • H. Lange

       Pages 577-579

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

• Department of Physics, Simon Fraser University, Burnaby, Canada

  Richard H. Enns, Billy L. Jones, Sadanand S. Rangnekar

• Department of Mathematics, University of British Columbia, Vancouver, Canada

  Robert M. Miura

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