从数字反转操作中涌现的丰富动力学行为
Rich dynamical behaviors from a digital reversal operation
AI总结：
通过数字反转操作构建的动力学系统展现出复杂行为，包括极限环和发散轨迹，揭示了类似1089魔术和RATS迭代的数学特性。
摘要：
反复对整数加或减其数字反转，取决于哪一方更大，可以视为一个动力学系统。一方面，这种映射的三位数版本仅运行两步就是1089数学魔术问题；另一方面，这种映射可以与约翰·康威的反向加再排序（RATS）迭代以及3x+1问题（也称为科拉兹映射）相比较。我们通过数值运行此映射，发现了有趣的动力学现象，包括具有不寻常周期性和长度为8的发散轨迹的极限环。
英文摘要：
Repeatedly adding or subtracting the digital reversal to or from an integer, depending on which one is larger, can be treated as a dynamical system. On one hand, a three-digit version of this map running only two steps is the 1089 mathematical trick problem; on the other hand, this mapping can be compared to John Conway's reverse-add-then-sort (RATS) iteration, as well as the 3x+1 problem, also known as Collatz's map. We numerically run this map and find interesting dynamics, including limiting cycles with unusual periodicity and length-8 diverging trajectories.
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。
