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Monotone Dynamical Systems with Polyhedral Order Cones and Dense Periodic Points

Published 28 Nov 2016 in math.DS | (1611.09251v1)

Abstract: Let X be a subset of Rn whose interior is connected and dense in X, ordered by a polyhedral cone in Rn with nonempty interior. Let T be a monotone homeomorphism of X whose periodic points are dense. Then T is periodic.

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Authors (1)

  1. Morris W. Hirsch 

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