Symplectic Twist Maps: Global Variational Techniques

Inbunden, Engelska, 2001

Del 18 i serien Advanced Series in Nonlinear Dynamics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2001-11-23
Mått:152 x 229 x 23 mm
Vikt:580 g
Format:Inbunden
Språk:Engelska
Serie:Advanced Series in Nonlinear Dynamics
Antal sidor:324
Förlag:World Scientific Publishing Co Pte Ltd
ISBN:9789810205898

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Recensioner i media

"... this book constitutes a fundamental monograph on the subject and gives a beautiful treatment of many results in the area that previously have only been accessible in original research papers." Mathematical Reviews

Innehållsförteckning

Twist maps of the annulus; the Aubry-Mather theorem; ghost circles; symplectic twist maps; periodic orbits for symplectic twist maps of Tn x IRn; invariant manifolds; Hamiltonian systems vs. twist maps; periodic orbits for Hamiltonian systems; generalizations of the Aubry-Mather theorem; generating phases and symplectic topology.