Mathematical Sciences: Dynamical Systems Program

数学科学：动力系统计划

• 批准号: 8809767
• 负责人: Thomas Spencer
• 金额: $ 3.38万
• 依托单位: Institute For Advanced Study
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-09-01 至 1990-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8809767&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Dynamical; Systems; Program

This project provides partial support for a special research year in dynamical programs during 1988-89 at the Institute for Advanced Study at Princeton, New Jersey. The program will also be supported by the Institute's endowments and by the Department of Energy. The special year will bring together physicists and mathematicians who will focus on important problems in dynamical systems. The analysis and description of the chaotic behavior for uniformly hyperbolic systems marks one of the fundamental achievements in dynamical systems. However, there are many simple physical models of fluid flow, plasma physics, and celestial mechanics, which are not uniformly hyperbolic. In these cases little is known about chaotic behavior. One of the goals of the Institute's program in dynamical systems is to establish chaotic behavior for such models.

该项目为一个特殊的 1988- 1989年动力学计划研究年 普林斯顿高等研究院 球衣是个什么鬼 该计划还将得到 研究所的捐赠基金和能源部。 这一特殊的年份将汇集物理学家和 数学家们将专注于 动力系统 分析和描述了 一致双曲系统的混沌行为 动力学的基本成就之一 系统. 然而，有许多简单的物理模型 流体流动，等离子体物理，天体力学， 它们不是一致双曲线的。 在这些情况下 人们对混沌行为知之甚少。 之一 该研究所的动力系统计划的目标是 来建立这种模型的混沌行为。