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.Symplectic Twist Maps: Global Variational Techniques is written by Gole Christophe and published by World Scientific. ISBNs for Symplectic Twist Maps: Global Variational Techniques are 9789812810762, 9812810765 and the print ISBNs are 9789810205898, 9810205899.
Symplectic Twist Maps: Global Variational Techniques
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