论文标题
在$ \ mathbb {s}^1 $ -smmetry的存在下创建双曲线定期奇异性
Creating hyperbolic-regular singularities in the presence of an $\mathbb{S}^1$-symmetry
论文作者
论文摘要
在4维紧凑型的象征流中，我们研究了复曲面系统与具有$ \ mathbb {s}^1 $ -Symmetry的完全集成系统家族的合适扰动，导致各种双曲线的奇异性。我们计算和可视化相关的现象，例如襟翼，燕尾和$ k $堆放的Tori，以$ k \ in \ {2，3，4 \} $中的$ k \，并在我们的系统家庭中为$ k $提供了上限。
On a 4-dimensional compact symplectic manifold, we study how suitable perturbations of a toric system to a family of completely integrable systems with $\mathbb{S}^1$-symmetry lead to various hyperbolic-regular singularities. We compute and visualise associated phenomena like flaps, swallowtails, and $k$-stacked tori for $k \in \{2, 3, 4\}$ and give an upper bound for $k$ in our family of systems.
