Some remarks on Birkhoff and Mather twist map theorems-Reference-Cited by-同舟云学术

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Some remarks on Birkhoff and Mather twist map theorems

Published:1982-06 Issue:2 Volume:2 Page:185-194
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Katok A.

Abstract

AbstractA recent result of J. Mather [1] about the existence of quasi-periodic orbits for twist maps is derived from an appropriately modified version of G. D. Birkhoff's classical theorem concerning periodic orbits. A proof of Birkhoff's theorem is given using a simplified geometric version of Mather's arguments. Additional properties of Mather's invariant sets are discussed.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. Existence of quasi-periodic orbits for twist homeomorphisms;Mather;Topology.

2. CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

3. On the ergodic properties of nowhere dispersing billiards

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