9 citations · 17 across the 7 of their papers we have counts for
7 papers
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…
Obtaining New Dividing Formulas n|Q(n) From the Known Ones
Bau-Sen Du
In this note, we present a few methods (Theorems 1, 2, and 3) from discrete dynamical systems theory of obtaining new functions Q(n) from the known ones so that the dividing formul…
Congruence Identities Arising From Dynamical Systems
Bau-Sen Du
By counting the numbers of periodic points of all periods for some interval maps, we obtain infinitely many new congruence identities in number theory.
A Simple Method Which Generates Infinitely Many Congruence Identities
Bau-Sen Du
A simple method called symbolic representation for piecewise linear functions on the real line is introduced and used to compute the numbers of periodic points of all periods for s…
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…