不动点的泛基数序
The Universal Cardinal Ordering of Fixed Points
摘要：
本文给出了一个定理，它通过一个置换决定了倍周期级联的任何轨道的不动点的基数序。逆置换生成轨道，并作为推论得到轨道的符号序列。解决了符号序列中存在的问题。在那里，重复的符号出现，例如，R（右），这是无法区分它们之间，因为它是不知道哪个R是最右边的所有。因此，缺乏关于动力系统的信息。有趣的是，重要的是要指出，这个定理不需要任何其他轨道的先前信息。
英文摘要：
We present the theorem which determines, by a permutation, the cardinal ordering of fixed points for any orbit of a period doubling cascade. The inverse permutation generates the orbit and the symbolic sequence of the orbit is obtained as a corollary. The problem present in the symbolic sequences is solved. There, repeated symbols appear, for example, the R (right), which cannot be distinguished among them as it is not known which R is the rightmost of them all. Therefore, there is a lack of information about the dynamical system. Interestingly enough, it is important to point that this theorem needs no previous information about any other orbit.
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。
