Dynamical Properties Of Diffeomorphisms Of The Annulus And Of The Torus Patrice Le Calvez

ISBN: 9780821819432

Published: May 1st 2000

Hardcover

105 pages


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Dynamical Properties Of Diffeomorphisms Of The Annulus And Of The Torus  by  Patrice Le Calvez

Dynamical Properties Of Diffeomorphisms Of The Annulus And Of The Torus by Patrice Le Calvez
May 1st 2000 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 105 pages | ISBN: 9780821819432 | 9.76 Mb

The first chapter of this monograph presents a survey of the theory of monotone twist maps of the annulus. First, the author covers the conservative case by presenting a short survey of Aubry-Mather theory and Birkhoff theory, followed by someMoreThe first chapter of this monograph presents a survey of the theory of monotone twist maps of the annulus. First, the author covers the conservative case by presenting a short survey of Aubry-Mather theory and Birkhoff theory, followed by some criteria for existence of periodic orbits without the area-preservation property. These are applied in the area-decreasing case, and the properties of Birkhoff attractors are discussed.

A diffeomorphism of the closed annulus which is isotopic to the identity can be written as the composition of monotone twist maps.



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