Mathematical Sciences: Chaotic Solutions of the n-Body Problem

数学科学：n 体问题的混沌解

• 批准号: 9208079
• 负责人: Zhihong Xia
• 金额: $ 7.67万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-06-15 至 1995-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9208079&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Chaotic; Solutions; Body

The principal investigator will continue his research on singularities of the n-body problem, especially the non-collision singularities and the relation between collision singularities and non-collision singularities. He will also work on some special solutions of the n-body problem which arise from an analysis of the final evolution of the gravitational system. This award will support research in the general area of dynamical systems. A process which is very simple and easy to understand locally can become extremely complicated, nonlinear, and difficult to analyze globally. Dynamical systems is the study of this local to global relationship. Many physical systems can best be modeled using this area of mathematics including fluid flow and turbulence, complex biological systems, mechanical systems, and chemical reactions.

首席研究员将继续研究 n体问题的奇点，特别是非碰撞 奇点以及碰撞奇点之间的关系 和非碰撞奇点。他还将致力于一些 n体问题的特殊解， 分析引力系统的最终演化。 该奖项将支持一般领域的研究， 动力系统一个非常简单和容易的过程， 局部理解会变得非常复杂，非线性， 很难在全球范围内进行分析。动力系统是研究 从本地到全球的关系。许多物理系统可以 最好是用这一领域的数学建模，包括流体 流动和湍流，复杂的生物系统，机械 系统和化学反应。