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Monotone recurrence relations, their Birkhoff orbits and topological entropy

Published online by Cambridge University Press:  19 September 2008

Sigurd B. Angenent
Sigurd B. Angenent
Affiliation:
University of Wisconsin—Madison Center for the Mathematical Sciences, Wisconsin, USA
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Abstract

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A generalization of the class of monotone twistmaps to maps of s1 × RN 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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 10 , Issue 1 , March 1990 , pp. 15 - 41
Copyright
Copyright © Cambridge University Press 1990

References

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