Symplectic twist maps : global variational techniques

著者

    • Golé, Christophe

書誌事項

Symplectic twist maps : global variational techniques

Christophe Golé

(Advanced series in nonlinear dynamics, v. 18)

World Scientific, c2001

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注記

Includes bibliographical references (p. [293]-301) and index

内容説明・目次

内容説明

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.

目次

  • 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.

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詳細情報

  • NII書誌ID(NCID)
    BA55930490
  • ISBN
    • 9810205899
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore
  • ページ数/冊数
    xviii, 301 p.
  • 大きさ
    23 cm
  • 親書誌ID
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