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arxiv: 1903.10774 · v1 · pith:5VZTT4SMnew · submitted 2019-03-26 · 🧮 math.DS

On a two dimensional dynamical system generated by the floor function

classification 🧮 math.DS
keywords dynamicalsystemdimensionalfloorfunctiongeneratedlambdadepending
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In this paper we investigate the two dimensional dynamical system generated by the floor function with a parameter $\lambda\in \R$. We describe all limit points of the dynamical system depending on $\lambda$ and on the initial point.

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