9 citations · 17 across the 7 of their papers we have counts for
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Bifurcation of the ACT map
Bau-Sen Du, Ming-Chia Li, Mikhail Malkin
In this paper, we study the Arneodo-Coullet-Tresser map where are real with and is an integer. We obtai…
A refinement of Sharkovskii's theorem on orbit types characterized by two parameters
Bau-Sen Du, Ming-Chia Li
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 solutio…
The Minimal Number of Periodic Orbits of Periods Guaranteed in Sharkovskii's Theorem
Bau-Sen Du
Let f(x) be a continuous function from a compact real interval into itself with a periodic orbit of minimal period m, where m is not an integral power of 2. Then, by Sharkovsky's t…
A collection of simple proofs of Sharkovsky's theorem
Bau-Sen Du
Based on various strategies, we obtain several simple proofs of the celebrated Sharkovsky cycle coexistence theorem.