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SYMPLECTIC TWIST MAPS: GLOBAL VARIATIONAL TECHNIQUES (Advanced Nonlinear Dynamics)

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SYMPLECTIC TWIST MAPS: GLOBAL VARIATIONAL TECHNIQUES (Advanced Nonlinear Dynamics) image
ISBN-10:

9810205899

ISBN-13:

9789810205898

Author(s): Golé, Christophe
Released: Nov 23, 2001
Publisher: World Scientific Publishing Company
Format: Hardcover, 324 pages
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Description:

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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