This IMA Volume in Mathematics and its Applications TWIST MAPPINGS AND THEIR APPLICATIONS is based on the proceedings of a workshop which was an integral part of the 1989- 90 IMA program on "Dynamical Systems and their Applications". The workshop brought together many of the leading figures in the modern study of twist maps. We thank Shui-Nee Chow, Martin Golubitsky, Richard McGehee, Ken Meyer, Jiirgen Moser, Clark Robinson, George R. Sell, and Eduard Zehnder for organizing the meeting and, especially, Richard McGehee and Ken Meyer for editing the volume. A vner Friedman Willard Miller, Jr. PREFACE In the 1890 volume of Acta Mathematica, H. Poincare published his prize winning paper on the stability of orbits of the three body problem. In that paper, he introduced some of the basic ideas about twist maps of the annulus. One hun dred years later, the study of twist maps is still an active and important area of dynamical systems theory.
This IMA Volume in Mathematics and its Applications TWIST MAPPINGS AND THEIR APPLICATIONS is based on the proceedings of a workshop which was an integral part of the 1989- 90 IMA program on "Dynamical Systems and their Applications". The workshop brought together many of the leading figures in the modern study of twist maps. We thank Shui-Nee Chow, Martin Golubitsky, Richard McGehee, Ken Meyer, Jiirgen Moser, Clark Robinson, George R. Sell, and Eduard Zehnder for organizing the meeting and, especially, Richard McGehee and Ken Meyer for editing the volume. A vner Friedman Willard Miller, Jr. PREFACE In the 1890 volume of Acta Mathematica, H. Poincare published his prize winning paper on the stability of orbits of the three body problem. In that paper, he introduced some of the basic ideas about twist maps of the annulus. One hun dred years later, the study of twist maps is still an active and important area of dynamical systems theory.
In the field of Dynamical Systems, nonlinear iterative processes play an important role. Nonlinear mappings can be found as immediate models for many systems from different scientific areas, such as...
The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem - for every simply connected domain of the...
A major flaw in semi-Riemannian geometry is a shortage of suitable types of maps between semi-Riemannian manifolds that will compare their geometric properties. Here, a class of such maps called ...
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