Accession Number : ADA193481

Title :   Monotone Recurrence Relations, Their Birkhoff Orbits and Topological Entropy.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s) : Angenent, Sigurd B

PDF Url : ADA193481

Report Date : Feb 1988

Pagination or Media Count : 47

Abstract : A generalization of the class of monotone twistmaps to maps of S sub 1 x R sub n is proposed. The existence of Birkhoff orbits is studied, and a criterion for positive topological entropy is given. These results are then specialized to the case of monotone twist maps. Finally it is shown that there is a large class of symplectic maps to which the foregoing discussion applies. Keywords: Dynamical systems; Theorems.

Descriptors :   *MONOTONE FUNCTIONS, *TOPOLOGY, *MAPPING(TRANSFORMATIONS), DYNAMICS, ENTROPY, MAPS, ORBITS, TWIST(MOTION)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE