Mathematical Sciences: Dynamics and Mechanics

数学科学：动力学与力学

• 批准号: 9206957
• 负责人: Richard McGehee
• 金额: $ 11.66万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-06-15 至 1996-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9206957&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Dynamics; Mechanics

The principal investigators will continue their research in dynamical systems. They will study relations as dynamical systems, an alternate approach to chain recurrence for vector fields, numerical methods for computing periodic and homoclinic orbits, and central configurations in the classical N-body problem. 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.

主要研究人员将继续他们的研究， 动力系统他们将把关系作为动力学来研究 系统，向量链递归的另一种方法 场，计算周期和同宿的数值方法 轨道和经典N体中的中心构型 问题. 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。动力系统是一项研究 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。