Monotone Dynamical Systems with Polyhedral Order Cones and Dense Periodic Points
Let $X\subset \mathbb{R}^{n}$ be a set whose interior is connected and dense in $X$, ordered by a closed convex cone $K\subset \mathbb{R}^{n}$ having nonempty interior. Let $T: X\approx X$ be an order-preserving homeomorphism. The following result is proved: Assume the set of periodic points of $T$...
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| Format: | Article |
| Language: | English |
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AIMS Press
2016-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/10.3934/Math.2017.1.24/fulltext.html |