Del 18 - Advanced Series in Nonlinear Dynamics

Symplectic Twist Maps: Global Variational Techniques

Inbunden, Engelska, 2001

1 499 kr

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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.