Contemporary Mathematics 1990; 153 pp; softcover Volume: 108 ISBN10: 0821851144 ISBN13: 9780821851142 List Price: US$41 Member Price: US$32.80 Order Code: CONM/108
 This volume contains the proceedings of an AMS Special Session on the Mathematics of Nonlinear Science, held in Phoenix in January 1989. This area of research encompasses a large and rapidly growing set of ideas concerning the relationship of mathematics to science, in which the fundamental laws of nature are extended beyond common sense into new areas where the dual aspects of order and chaos abound. These papers, generally analytic in nature, deal primarily with mathematical aspects of physical science and nonchaotic phenomenon. Important new areas are discussed, such as instability, global extensions of KAM theory, new ideas concerning integrable systems, bifurcation and its applications in fluids, and various aspects of gauge theory. Altogether, the topics explored here represent an excellent survey of some of the new research in the mathematics of nonlinear science. Table of Contents  R. K. Alexander  Multiple steady states in tubular chemical reactors
 M. S. Berger  Two new approaches to large amplitude quasiperiodic motions of certain nonlinear Hamiltonian systems
 Y. Y. Chen  Vortices for the GinzburgLandau equationsthe nonsymmetric case in bounded domain
 A. Szeri and P. Holmes  Nonlinear stability and bifurcation in Hamiltonian systems with symmetry
 E. Isaacson and B. Temple  Nonlinear resonance in inhomogeneous systems of conservation laws
 G. H. Knightly and D. Sather  Bifurcation and stability in rotating, plane CouettePoiseuille flow
 K. R. Meyer and D. S. Schmidt  Bifurcations of central configurations in the \(N\)body problem
 M. S. Berger and J. Nee  Leapfrogging of vortex filaments in an ideal fluid
 J. W. Neuberger  Calculation of sharp shocks using Sobolev gradients
 J. Palmer and C. A. Tracy  Monodromy preserving deformation of the Dirac operator acting on the hyperbolic plane
 M. S. Berger and M. Schechter  Bifurcation from equilibria for certain infinitedimensional dynamical systems
 V. Shubov  On dynamics of discrete and continuous \(\sigma\)models (chiral fields) with values in Riemannian manifolds
 S. Stojanovic  Direct study for some nonlinear elliptic control problems
