Symplectic twist maps: global variational techniques

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...

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Bibliographic Details
Main Author: Gole, Christophe (Author)
Format: Electronic eBook
Language:English
Published: Singapore World Scientific Pub. Co. c2001
Series:Advanced series in nonlinear dynamics v. 18
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Online Access:FHN01
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Summary: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
Physical Description:xviii, 301 p. ill
ISBN:9789812810762

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