A workshop on singularities, bifurcation and dynamics was held at Warwick in July 1989 as part of a year-long symposium on singularity theory and its applications. The proceedings have been divided into two. Volume 1 covers connections with algebraic geometry and volume 2 concentrates on connections with dynamical systems theory, bifurcation theory and applications in the sciences. The main topic, deformation theory, is represented by several papers on descriptions of the bases of versal deformations, and several more on descriptions of the generic fibres. Other topics include stratifications and applications to differential geometry.
A workshop on singularities, bifurcation and dynamics was held at Warwick in July 1989 as part of a year-long symposium on singularity theory and its applications. The proceedings have been divided into two. Volume 1 covers connections with algebraic geometry and volume 2 concentrates on connections with dynamical systems theory, bifurcation theory and applications in the sciences. The main topic, deformation theory, is represented by several papers on descriptions of the bases of versal deformations, and several more on descriptions of the generic fibres. Other topics include stratifications and applications to differential geometry.
Scaling Laws and Bifurcation.- Bifurcation from a manifold.- Structurally stable heteroclinic cycles in a system with O(3) symmetry.- Boundary conditions as symmetry constraints.- Equivariant bifurcations and morsifications for finite groups.- On a codimension-four bifurcation occurring in optical bistability.- The center manifold for delay equations in the light of suns and stars.- Local structure of equivariant dynamics.- On the bifurcations of subharmonics in reversible systems.- Classification of symmetric caustics I: symplectic equivalence.- Symplectic singularities and optical diffraction.- Dynamics near steady state bifurcations in problems with spherical symmetry.- Caustics in time reversible hamiltonian systems.- Some complex differential equations arising in telecommunications.- Classification of two-parameter bifurcations.- Versal deformations of infinitesimally symplectic transformations with antisymplectic involutions.
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