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The IMA Volumes in Mathematics and Its Applications Ser.: Twist Mappings and Their Applications by Kenneth R. Meyer (2013, Trade Paperback)

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Product Information

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.

Product Identifiers

Publisher
Springer New York
ISBN-10
1461392594
ISBN-13
9781461392590
eBay Product ID (ePID)
203535941

Product Key Features

Author
Kenneth R. Meyer
Publication Name
Twist Mappings and Their Applications
Format
Trade Paperback
Language
English
Series
The Ima Volumes in Mathematics and Its Applications Ser.
Publication Year
2013
Type
Textbook
Number of Pages
Xiii, 199 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
11.9 Oz

Additional Product Features

Series Volume Number
44
Number of Volumes
1 Vol.
Lc Classification Number
Qa614-614.97
Table of Content
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.
Copyright Date
1992
Topic
Differential Equations / General, Physics / Mathematical & Computational, Mathematical Analysis
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Science, Mathematics

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The IMA Volumes in Mathematics and Its Applications Ser.: Twist Mappings and Their Applications by Kenneth R. Meyer (2013, Trade Paperback)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Twist Mappings and Their Applications

item 2 Twist Mappings and Their Applications by Richard McGehee (English) Paperback Boo

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