Symplectic Twist Maps: Global Variational Techniques (Advanced Series in Nonlinear Dynamics 18)

Symplectic Twist Maps: Global Variational Techniques (Advanced Series in Nonlinear Dynamics 18)

By: C. Gole (author)Hardback

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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.

Contents

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.

Product Details

  • ISBN13: 9789810205898
  • Format: Hardback
  • Number Of Pages: 324
  • ID: 9789810205898
  • ISBN10: 9810205899

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