接近周期的历史wandering domains
Historic wandering domains near cycles
摘要：
本文讨论了在维数为$d\geq 3$和$r\geq 1$的同宿相切的一类$C^r$-Newhouse域中，如何得到非平凡的历史压缩游荡域.特别是，这给了第一次的贡献Takens的最后一个问题中的$C^1$拓扑结构和尺寸$d>2$。我们展示了如何这些纽豪斯域可以得到任意接近表现出异维周期（在维度$d=3$）或非横向等维周期（在任何维度$d\ge 3$）与非真正的复杂的领导乘数的周期点相关的同构。
英文摘要：
We explain how to obtain non-trivial historic contractive wandering domains for a dense set of diffeomorphisms in certain type of $C^r$-Newhouse domains of homoclinic tangencies in dimension $d\geq 3$ and $r\geq 1$. In particular, this gives for the first time a contribution to Takens' last problem in the $C^1$ topology and in dimension $d>2$. We show how these Newhouse domains can be obtained arbitrarily close to diffeomorphisms exhibiting heterodimensional cycles (in dimension $d=3$) or non-transverse equidimensional cycles (in any dimension $d\ge 3$) associated with periodic points with non-real complex leading multipliers.
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。
