# WMI Preprints 1990

*Chaos on a catastrophe manifold,*

by S.T. Gaito & G.P. King

*3-mode interactions with 0(2) symmetry and a model for Taylor-Couette flow,*

by A. Hill & I. Stewart

*Symmetric chaos in systems of three and four forced oscillators,*

by P. Ashwin

*Quantization of Kähler manifolds II,*

by M. Cahen, S. Gutt & J. Rawnsley

*Wave equation with stochastic boundary values,*

by X. Mao & L. Markus

*Heteroclinic cycles in dynamical systems with broken spherical symmetry,*

by R. Lauterbach & M. Roberts

*The dynamics of n weakly coupled identical oscillators,*

by P. Ashwin & J.W. Swift

*A Banach manifold structure on the configuration space of the Yang-Mills-Higgs functional,*

by S. Dostoglou

*Symmetric chaos,*

by G. King & I. Stewart

*Some remarks on the existence of solutions of the Yang-Mills-Higgs equations,*

by S. Dostoglou

*A-codimension and the vanishing topology of discriminants,*

by J. Damon & D. Mond

*Global calculus on Weyl manifolds,*

by H. Omori, Y. Maeda & A. Yoshioka

*Caustics in time reversible Hamiltonian systems,*

by J. Montaldi

*Local adaptive Galerkin bases for large dimensional dynamical systems,*

by D.S. Broomhead, R. Indik, A.C. Newell & D.A. Rand

*Bifurcations on hemispheres,*

by M. Field, M. Golubitsky & I. Stewart

At this point in October 1990 a numbering system was introduced...

1/1990

*Prime orbit theorems with multi-dimensional constraints for Axiom A flows,*

by Richard Sharp

2/1990

*Gradient estimates for the Poisson equation on complete Riemannian manifolds,*

by A. Ratto & M. Rigoli

3/1990

*Representations of braid groups and operators coupled to monopoles,*

by R.L. Cohen & J.D.S. Jones

4/1990

*Coupled non-linear oscillators and the symmetries of animal gaits*

by J. J. Collins and Ian Stewart.

5/1990

*Lie groups and Teichmüller space,*

by N.J. Hitchin

6/1990

*Bifurcations on hemispheres*

by Mike Field, Martin Golubitsky and Ian Stewart.

7/1990

*Temporal gauges and the alpha prescription from phase space path integrals,*

by M. Lavelle & D. McMullan

8/1990

*Gauge fixing and the no-ghost theorem,*

by D. McMullan

9/1990

*A second class formulation of the Bosonic string,*

by D. McMullan Nov. 1990

10/1990

*Lyapunov maps, simplicial complexes and the Stone functor,*

by J.W. Robbin & D.A. Salamon

11/1990

*Triangulation of compact smooth manifolds and Morse theory,*

by M. Pozniak

12/1990

*On representations of Markov chains by random smooth maps,*

by A.N. Quas

13/1990

*Ideal arithmetic in affine PI rings,*

by A.W. Chatters, C.R. Hajarnavis & T.H. Lenagan

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