Monotone Recurrence Relations, Their Birkhoff Orbits and Topological Entropy.

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.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1988
Accession Number
ADA193481

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  • Sigurd B. Angenent

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  • University of Wisconsin–Madison

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