标题： 斯特莫问题中的混沌现象 显示英文标题

标题： Chaos in the Stormer problem

摘要： 我们综述了描述地球磁层中带电粒子动力学的Stormer问题的一些精确结果。 该系统的分析得出结论，带电粒子被束缚在地球磁层中或逃逸到无限远，束缚区域由类似环面的表面，即范艾伦内辐射带所限定。 在束缚区域内，带电粒子的运动可以是周期的、准周期的或混沌的。 在此框架下描述了在地球磁层中观察到的三种主要现象，即辐射带、极光辐射和南大西洋异常。 我们讨论了由Stormer问题分析提出的一些新的数学问题。 显示英文摘要

摘要： We survey the few exact results on the Stormer problem describing the dynamics of charged particles in the Earth magnetosphere. The analysis of this system leads to the the conclusion that charged particles are trapped in the Earth magnetosphere or escape to infinity, and the trapping region is bounded by a torus-like surface, the Van Allen inner radiation belt. In the trapping region, the motion of the charged particles can be periodic, quasi-period or chaotic. The three main effects observed in the Earth magnetosphere, radiation belts, radiation aurorae and South Atlantic anomaly, are described in the framework described here. We discuss some new mathematical problems suggested by the analysis of the Stormer problem.