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Singularity Theory and its Applications

Warwick 1989, Part II: Singularities, Bifurcations and Dynamics

  • Conference proceedings
  • © 1991

Overview

Editors:
  1. Mark Roberts
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  2. Ian Stewart
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1463)

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Table of contents (16 papers)

  1. Front Matter

    Pages I-VIII
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  2. Scaling Laws and Bifurcation

    • P. J. Aston
    Pages 1-21

  3. Bifurcation from a manifold

    • David Chillingworth
    Pages 22-37

  4. Structurally stable heteroclinic cycles in a system with O(3) symmetry

    • P. Chossat, D. Armbruster
    Pages 38-62

  5. Boundary conditions as symmetry constraints

    • J. D. Crawford, M. Golubitsky, M. G. M. Gomes, E. Knobloch, I. N. Stewart
    Pages 63-79

  6. Equivariant bifurcations and morsifications for finite groups

    • James Damon
    Pages 80-106

  7. On a codimension-four bifurcation occurring in optical bistability

    • G. Dangelmayr, M. Wegelin
    Pages 107-121

  8. The center manifold for delay equations in the light of suns and stars

    • Odo Diekmann, Stephan A. van Gils
    Pages 122-141

  9. Local structure of equivariant dynamics

    • Mike Field
    Pages 142-166

  10. On the bifurcations of subharmonics in reversible systems

    • J. E. Furter
    Pages 167-192

  11. Classification of symmetric caustics I: symplectic equivalence

    • Staszek Janeczko, Mark Roberts
    Pages 193-219

  12. Symplectic singularities and optical diffraction

    • S. Janeczko, Ian Stewart
    Pages 220-255

  13. Dynamics near steady state bifurcations in problems with spherical symmetry

    • Reiner Lauterbach
    Pages 256-265

  14. Caustics in time reversible hamiltonian systems

    • James Montaldi
    Pages 266-277

  15. Some complex differential equations arising in telecommunications

    • Irene M. Moroz
    Pages 278-293

  16. Classification of two-parameter bifurcations

    • Martin Peters
    Pages 294-300

  17. Versal deformations of infinitesimally symplectic transformations with antisymplectic involutions

    • Yieh-Hei Wan
    Pages 301-320

  18. Back Matter

    Pages 321-322
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Keywords

About this book

A workshop on Singularities, Bifuraction and Dynamics was held at Warwick in July 1989, as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory and applications in the sciences. The papers are original research, stimulated by the symposium and workshop: All have been refereed and none will appear elsewhere. The main topic of volume II is new methods for the study of bifurcations in nonlinear dynamical systems, and applications of these.

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