
Accession Number : ADA137950
Title : A Topological Version of a Theorem of Mather on Twist Maps.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON 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 areapreservation 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