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arXiv · 1611.09251

Monotone Dynamical Systems with Polyhedral Order Cones and Dense Periodic Points

Morris W. Hirsch
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Abstract

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

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Morris W. Hirsch. 2016-11-28. Monotone Dynamical Systems with Polyhedral Order Cones and Dense Periodic Points. https://arxiv.org/abs/1611.09251

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