Symplectic Twist Maps: Global Variational Techniques
Christophe Gole
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.
Категории:
Година:
2001
Издателство:
World Scientific Publishing Co Pte Ltd
Език:
english
Страници:
325
ISBN 10:
9810205899
ISBN 13:
9789810205898
Серия:
Advanced Series in Nonlinear Dynamics
Файл:
PDF, 11.85 MB
IPFS:
,
english, 2001