两类临界轨道均有界的广义McMullen映射组合动力学中的Paper Fortune Tellers
Paper Fortune Tellers in the combinatorial dynamics of some generalized McMullen maps with both critical orbits bounded
AI总结：
本文针对广义McMullen映射族，揭示了新的动力学行为并给出组合模型，阐明了一类映射的Julia集同时包含无穷多二次Julia集同胚拷贝与经外射线着陆点修改得到的同胚子集。
摘要：
针对被称为“广义McMullen映射”的复有理函数族F(z) = z^n + a/z^n+b（其中a、b为复参数且a非零，n为固定的不小于3的任意整数），我们揭示了一些新的动力学行为，并为其提供了组合模型。具体而言，我们描述了一大类映射，其Julia集既包含无穷多个与二次Julia集同胚的拷贝，也包含无穷多个与某集合同胚的子集——该集合以二次Julia集为基础，按照我们将阐述的算法，修改有限对外射线着陆点的等同关系得到。
英文摘要：
For the family of complex rational functions known as "Generalized McMullen maps", F(z) = z^n + a/z^n+b, for complex parameters a and b, with a nonzero, and any integer n at least 3 fixed, we reveal, and provide a combinatorial model for, some new dynamical behavior. In particular, we describe a large class of maps whose Julia sets contain both infinitely many homeomorphic copies of quadratic Julia sets and infinitely many subsets homeomorphic to a set which is obtained by starting with a quadratic Julia set, then changing a finite number of pairs of external ray landing point identifications, following an algorithm we will describe.
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。
