Ming-Chia Li

collaborators

Showing math.DSShow all

2 papers · 1 filter

math.DS2007

Bifurcation of the ACT map

Bau-Sen Du, Ming-Chia Li, Mikhail Malkin

In this paper, we study the Arneodo-Coullet-Tresser map $F (x, y, z) = (a x - b (y - z), b x + a (y - z), c x - d x^{k} + ez)$ where $a, b, c, d, e$ are real with $b d \neq = 0$ and $k > 1$ is an integer. We obtai…

math.DS2007

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…