Accession Number : ADA137950

Title :   A Topological Version of a Theorem of Mather on Twist Maps.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Hall,G R

PDF Url : ADA137950

Report Date : Dec 1983

Pagination or Media Count : 31

Abstract : In this report shows that a twist map of an annulus with a periodic point of rotation number p/q must have a Birkhoff periodic point of rotation number p/q. Topological techniques are used so no assumption of area-preservation or circle intersection property is needed. If the map is area preserving then this theorem and the fixed point theorem of Birkhoff imply a recent theorem of Mather. It is also shown that periodic orbits of (significantly) smallest period for a twist map must be Birkhoff. (Author)

Descriptors :   *Topology, *Maps, *Celestial mechanics, Theorems, Orbits, Boundaries, Rotation, Circles

Subject Categories : Celestial Mechanics
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE