Twist Mappings and Their Applications
Author:   Richard McGehee ,  Kenneth R. Meyer
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1992
Volume:   44
ISBN:  

9781461392590


Pages:   199
Publication Date:   16 February 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Twist Mappings and Their Applications


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Overview

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.

Full Product Details

Author:   Richard McGehee ,  Kenneth R. Meyer
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1992
Volume:   44
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.338kg
ISBN:  

9781461392590


ISBN 10:   1461392594
Pages:   199
Publication Date:   16 February 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

A remark oil the topological entropy and invariant circles of an area preserving twistmap.- The concept of anti-integrability: Definition, theorems and applications to the standard map.- Hypersurfaces without selfintersections in the torus.- The rotation set as a dynamical invariant.- Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with nondegenerate Hessian.- Physical examples of linked twist maps with chaotic dynamics.- Ghost tori for monotone maps.- Poincaré’s proof of Poincaré’s last geometric theorem.- Dynamics connected with indefinite normal torsion.- Minimal orbits for small perturbations of completely integrable Hamiltonian systems.

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