论文标题
非碰撞奇点的新机制
A New Mechanism for Noncollision Singularities
论文作者
论文摘要
在本文中，我们证明了与[J. Xue，Acta Math.v224（2）253-388，2020。]。在此模型中，加速度可以任意快速，质量可以是可比的。这项工作为构建非碰撞奇点以及其他具有复杂动态的相关轨道提供了一般原则。它不仅回答了[J. Xue，Acta Math.v224（2）253-388，2020。]，但也解决了Anosov的猜想的类似版本。
In this paper, we prove the existence of noncollision singularities in a planar four-body problem in a model different from [J. Xue,Acta Math.V224(2)253-388, 2020.]. In this model, the acceleration can be arbitrarily fast and the masses can be comparable. This work provides a general principle to construct noncollision singularities as well as other related orbits with complicited dynamics. It not only answers a question in [J. Xue,Acta Math.V224(2) 253-388, 2020.] but also solves an analogous version of a conjecture of Anosov.
