论文标题
分隔或选择的轨道的双重性质2规则：二次collatz型递归
Dual Nature of Orbits of the Divide-or-Choose 2 Rule: A Quadratic Collatz-type Recursion
论文作者
论文摘要
我们获得了称为Divide-or-Choose-2规则的二次Collatz型递归的所有轨道的完整表征。每个轨道都以周期取决于初始值的周期结束，或者是无穷大的。我们指定哪些初始值会生成周期轨道，还表明所有其他初始值都会生成无限元的轨道。
We obtain a complete characterization of all orbits of a quadratic Collatz-type recursion called the divide-or-choose-2 rule. Each orbit either ends in a cycle whose period depends on the initial value or it goes to infinity. We specify which initial values generate periodic orbits, and also show that all other initial values generate orbits that go to infinity.
