Mathematical Sciences: Dynamical Systems Program

该项目为1988- 1989年新泽西州普林斯顿高等研究院的动力项目特别研究年提供部分支持。该项目还将得到该研究所的捐赠基金和美国能源部的支持。这个特殊的年份将汇集物理学家和数学家，他们将专注于动力系统中的重要问题。一致双曲系统混沌行为的分析和描述是动力系统研究的基本成果之一。然而，有许多流体流动、等离子体物理和天体力学的简单物理模型，它们不是统一的双曲。在这些情况下，人们对混沌行为知之甚少。该研究所动力系统项目的目标之一是为这些模型建立混沌行为。

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.