This book concentrates mainly on the theorem of existence of periodic orbits for higher dimensional analogs of Twist maps. The setting is that of a discrete variational calculus and the techniques involve Conley-Zehnder-Morse Theory. They give rise to the concept of ghost tori which are of interest in the dimension 2 case (ghost circles). The debate is oriented somewhat toward the open problem of finding orbits of all (in particular, irrational) rotation vectors.
| ISBN-13: | 9789810205898 |
| ISBN-10: | 9810205899 |
| Publisher: | World Scientific |
| Publication date: | 2001 |
| Pages: | 301 |
| Product dimensions: | Height: 8.5 Inches, Length: 6 Inches, Weight: 0 Pounds, Width: 0.75 Inches |
| Author: | Christophe Gol |
| Language: | en |
| Binding: | Hardcover |
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