论文标题
在不可定向表面上进行点涡流的哈密顿量方法II：klein瓶
A Hamiltonian approach for point vortices on non-orientable surfaces II: the Klein bottle
论文作者
论文摘要
这是两份伴侣论文中的第二份，该论文专门研究不可定向表面上的涡旋运动。两人的第一篇论文主要与建立在不可取向流形的点涡流系统的哈密顿方法的方法有关，并研究了固有的（仅限于不可取向歧管）方法的限制。此外，仔细检查了Mobius频段上的点涡流运动。在本文中，我们通过建立汉密尔顿的明确形式，图表上的运动方程，描述相对平衡等，研究克莱因瓶上一个和两个点涡流的动力学。
This is the second of two companion papers dedicated to the investigation of vortex motion on non-orientable surfaces. The first paper of the pair is predominantly concerned with establishing the Hamiltonian approach to systems of point vortices on non-orientable manifolds and investigating the limits of the intrinsic (restricted to the non-orientable manifold) approach. In addition, point vortex motion on the Mobius band is closely examined. In this paper, we investigate dynamics of one and two point vortices on the Klein bottle through establishing explicit forms of the Hamiltonian, equations of motion on the charts, describing relative equilibria, etc.
