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arxiv: 1206.3868 · v3 · pith:PCKUGLKQnew · submitted 2012-06-18 · 🧮 math.DS · math.NT

Discretized rotation has infinitely many periodic orbits

Shigeki Akiyama , Attila Pethoe This is my paper
classification 🧮 math.DS math.NT
keywords discretizedinfinitelymanyorbitsperiodicrotationdefineddynamics
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For a fixed k in (-2,2), the discretized rotation on Z^2 is defined by (x,y)->(y,-[x+ky]). We prove that this dynamics has infinitely many periodic orbits.

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