Monotone Recurrence Relations, Their Birkhoff Orbits and Topological Entropy.
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WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES
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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.
- Theoretical Mathematics