SYMPLECTIC TWIST MAPS (V18)
Global Variational Techniques| By: | Gole Christophe |
| Publisher: | World Scientific Publishing |
| Print ISBN: | 9789810205898 |
| eText ISBN: | 9789812810762 |
| Edition: | 0 |
| Format: | Page Fidelity |
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Table of Contents
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.