Singularity Theory and its Applications

1. Front Matter

   Pages I-VIII

   PDF

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

    PDF

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.

• Dimension
• algebraic geometry
• differential equation
• dynamical systems
• singularity theory

Policies and ethics