论文标题
在受限制的四个身体问题中的关键同质斜码：数值延续和中心流动计算
Critical homoclinics in a restricted four body problem: numerical continuation and center manifold computations
论文作者
论文摘要
目前的工作研究了在相等限制的四个身体问题中，某些基本同斜运动运动的鲁棒性。该问题可以看作是保守自主矢量场的两个参数家族。主要工具是用于同型和周期性轨道的数值延续技术，以及用于计算正常形式和中心稳定/不稳定的歧管参数化的正式串联方法。经过对许多特殊情况的仔细数字研究，我们制定了几种关于同层家族全球分叉的猜想。
The present work studies the robustness of certain basic homoclinic motions in an equilateral restricted four body problem. The problem can be viewed as a two parameter family of conservative autonomous vector fields. The main tools are numerical continuation techniques for homoclinic and periodic orbits, as well as formal series methods for computing normal forms and center stable/unstable manifold parameterizations. After careful numerical study of a number of special cases we formulate several conjectures about the global bifurcations of the homoclinic families.
