Symplectic Twist Maps

Download or read book Symplectic Twist Maps written by Christophe Gol‚ and published by World Scientific. This book was released on 2001 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.