基数序排列的合成律
Composition law of cardinal order permutations
摘要：
本文证明了确定基数序排列及其逆的复合律的定理。因此，hs-周期轨道中的点的相对位置变得完全已知，以及这些点被访问的顺序。无论hs-周期轨道是如何出现的，是通过h-周期轨道的倍周期级联（s=2^n），还是作为主窗口（如h=2^n的鞍结分叉级联），还是作为次窗口（在h-周期窗口内诞生$s-$周期窗口）。当然，倍周期级联轨道是h=2和s=2^n的特殊情况。为了便于使用，这两个合成定律也都以算法的方式表示出来。
英文摘要：
In this paper the theorems that determine composition laws for both cardinal ordering permutations and their inverses are proven. So, the relative positions of points in a hs-periodic orbit become completely known as well as in which order those points are visited. No matter how a hs-periodic orbit emerges, be it through a period doubling cascade (s=2^n) of the h-periodic orbit, or as a primary window (like the saddle-node bifurcation cascade with h=2^n), or as a secondary window (the birth of a $s-$periodic window inside the h-periodic one). Certainly, period doubling cascade orbits are particular cases with h=2 and s=2^n. Both composition laws are also shown in algorithmic way for their easy use.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
