论文标题
对NHIMS的内部动力学及其图形表示的数值搜索
The numerical search for the internal dynamics of NHIMs and their pictorial representation
论文作者
论文摘要
本文的主题是对Conimension 2的数值搜索2在具有3个自由度及其内部动力学3度的汉密尔顿系统中的双曲线不变歧管（NHIM）。我们指出不同策略之间的关系，以数值方式找到此类表面。我们可以从有效电位的索引-1马鞍或部分整合的情况开始，然后沿着系统的参数空间中的某些曲线遵循NHIM。或者，我们可以通过适当的指示方法来寻找此类表面的稳定歧管。我们显示了在扰动的磁偶极场中移动的电子的数值示例。
The topic of this article is the numerical search of codimension 2 Normally Hyperbolic Invariant Manifolds (NHIM) in Hamiltonian systems with 3 degrees of freedom and their internal dynamics. We point out relations between different strategies to find such surfaces numerically. We can start from index-1 saddles of the effective potential or from a partially integrable case and follow the NHIM along some curve in the parameter space of the system. Or, we can look for the stable and unstable manifolds of such surfaces by an appropriate indicator method. We show numerical examples for an electron moving in a perturbed magnetic dipole field.
