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

Mathematics – Dynamical Systems

Scientific paper

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Scientific paper

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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