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Nonlinear Phenomena in Physics and Biology

  • Book
  • © 1981

Overview

Editors:
  1. Richard H. Enns

    1. Department of Physics, Simon Fraser University, Burnaby, Canada

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  2. Billy L. Jones

    1. Department of Physics, Simon Fraser University, Burnaby, Canada

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  3. Robert M. Miura

    1. Department of Mathematics, University of British Columbia, Vancouver, Canada

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  4. Sadanand S. Rangnekar

    1. Department of Physics, Simon Fraser University, Burnaby, Canada

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Part of the book series: NATO Science Series B: (NSSB, volume 75)

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Table of contents (21 chapters)

  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
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Keywords

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.

Editors and Affiliations

  • 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

Bibliographic Information

  • Book Title: Nonlinear Phenomena in Physics and Biology

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

  • Series Title: NATO Science Series B:

  • DOI: https://doi.org/10.1007/978-1-4684-4106-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1981

  • Softcover ISBN: 978-1-4684-4108-6Published: 04 July 2012

  • eBook ISBN: 978-1-4684-4106-2Published: 06 December 2012

  • Series ISSN: 0258-1221

  • Edition Number: 1

  • Number of Pages: X, 609

  • Topics: Theoretical, Mathematical and Computational Physics

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