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arXiv · 1206.3868

Discretized rotation has infinitely many periodic orbits

Shigeki Akiyama·Attila Pethoe
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Abstract

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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Shigeki Akiyama, Attila Pethoe. 2012-12-20. Discretized rotation has infinitely many periodic orbits. https://doi.org/10.1088/0951-7715%2F26%2F3%2F871

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