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):

Report Date:

1983-12-01

Pagination or Media Count:

31.0

Abstract:

In this report shows that a twist map of an annulus with a periodic point of rotation number pq must have a Birkhoff periodic point of rotation number pq. 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

Subject Categories:

  • Celestial Mechanics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE