Mathematical Sciences: Dynamical Systems Program

该项目为1988-在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了部分支持。该计划还将得到研究所捐赠基金和能源部的支持。这个特别的年将聚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标志着动力系统的基本成果之一。然而，有许多简单的流体流动、等离子体物理和天体力学的物理模型，它们并不是一致双曲线的。在这些情况下，人们对混沌行为知之甚少。该研究所动力系统项目的目标之一是为这类模型建立混沌行为。

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.