Mathematical Sciences: Nonlinear Dynamical Systems

数学科学：非线性动力系统

• 批准号: 9623093
• 负责人: John Mallet-Paret
• 金额: $ 2万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-07-15 至 1997-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9623093&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Nonlinear; Dynamical; Systems

9310328 Mallet-Paret We propose to study fundamental qualitative properties of several classes of dynamical systems which arise in various areas of science. Among the systems of interest are those involving geometric theory of singularly perturbed differential equations, differential delay equations, and associated linear problems. We propose to study fundamental qualitative properties of several classes of dynamical systems which arise in various areas of science. The dynamical systems model a wide range of important phenomena in a number of areas of science. Among them are problems of cell population growth (modeling various disease processes), problems of fluid flow, and problems involving interaction of diffusion and chemical reaction. ***

9310328 Mallet-Paret我们建议研究在各个科学领域中出现的几类动力系统的基本定性性质。 感兴趣的系统包括奇摄动微分方程、微分延迟方程和相关线性问题的几何理论。 我们建议研究几类动力系统的基本定性性质，这些动力系统出现在科学的各个领域。 动力系统在许多科学领域中模拟了广泛的重要现象。 其中包括细胞群体增长问题（模拟各种疾病过程），流体流动问题以及涉及扩散和化学反应相互作用的问题。 ***