论文标题
在禁止的星系模型中，垂直Lyapunov轨道附近附近的相空间结构
The Phase Space Structure in the vicinity of vertical Lyapunov orbits around L1,2 in a barred galaxy model
论文作者
论文摘要
我们研究了从3D禁止的星系模型中，从垂直Lyapunov周期性轨道围绕垂直的Lyapunov周期轨道附近的垂直Lyapunov周期轨道附近的相位空间结构和轨道扩散。通过扰动这些周期性轨道的初始条件，我们检测到章节4D空间中的以下五种类型的轨道结构：（i）类似环形结构，粘在很大的时间间隔到简单且双重不稳定的垂直Lyapunov周期性周期性周期性周期性的不稳定歧管。 （ii）属于该地区稳定的周期性轨道周围的准周期轨道的2D摩尔鸟。它们要么与L4,5附近的垂直稳定周期轨道或“稳定异常”的周期轨道相关。 （iii）在慢慢离开它们之前，轨道粘在这些摩尔的大时间隔内，形成“粘毛”。 （iv）具有强烈混乱行为的点云。这样的结果云具有缓慢的扩散速度，因为它们受到“稳定异常”周期轨道周围的摩托车的阻碍。 （v）由长时间粘在“不稳定异常”周期轨道的不稳定流形上的点的环形区域。通过继续进行整合，我们发现，由于稳定的异常周期轨道周围存在摩托车，它们最终变得非常混乱，保持了较小的扩散速度。
We study the phase space structure and the orbital diffusion from the vicinity of the vertical Lyapunov periodic orbits around the unstable Lagrangian points L1,2 in a 3D barred galaxy model. By perturbing the initial conditions of these periodic orbits, we detected the following five types of orbital structures in the 4D spaces of section: (i) Ring-like structures, sticky for large time intervals to the unstable invariant manifolds of the simple and double unstable vertical Lyapunov periodic orbits. (ii) 2D tori belonging to quasi-periodic orbits around stable periodic orbits existing in the region. They are associated either with vertical stable periodic orbits around L4,5 or with "stable anomalous" periodic orbits. (iii) Orbits sticky for large time intervals to these tori, forming "sticky tori", before they slowly depart from them. (iv) Clouds of points that have a strong chaotic behavior. Such clouds of consequents have slow diffusion speeds, because they are hindered by the presence of the tori around the "stable anomalous" periodic orbits. (v) Toroidal zones consisting of points that stick for long time on the unstable invariant manifolds of the "unstable anomalous" periodic orbits. By continuing the integration, we find that eventually they become strongly chaotic, retaining however small diffusion speeds, due to the presence of the tori around the stable anomalous periodic orbits.
