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arxiv: 0709.1184 · v1 · submitted 2007-09-08 · 🧮 math.DS

A refinement of Sharkovskii's theorem on orbit types characterized by two parameters

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keywords problemsharkovskiitheoremtypescharacterizedorbitparametersrefinement
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The so-called type problem or forcing problem is considered as a way to generalize Sharkovskii's theorem. In this paper, by focusing on certain types of orbits, we obtain a solution of the type problem, which gives a refinement of Sharkovskii's theorem on orbit types characterized by two parameters.

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