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.

Report Date:

1988-02-01

Pagination or Media Count:

47.0

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