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Symplectic Twist Maps: Global Variational Techniques (Advanced Series in Nonlinear Dynamics, Vol 18)

Symplectic Twist Maps: Global Variational Techniques (Advanced Series in Nonlinear Dynamics, Vol 18)
By Christophe Gole

Publisher: World Scientific Pub Co Inc
Number Of Pages: 301
Publication Date: 2001-11
ISBN-10 / ASIN: 9810205899
ISBN-13 / EAN: 9789810205898
Binding: Hardcover

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.

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