Asymptotic Behavior of Dynamical Systems

动力系统的渐近行为

• 批准号: 9005420
• 负责人: Jack Hale
• 金额: $ 17.7万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-07-15 至 1993-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9005420&HistoricalAwards=false
• 关键词: Asymptotic; Behavior; Dynamical; Systems

The research in this project is a continuation of the efforts of the principal investigator to discuss the qualitative theory of flows and the dependence on parameters of these flows of the attractor for functional differential equations (FDE) and partial differential equations (PDE). The parameters in the PDE are primarily the diffusion coefficients, boundary conditions and the domain. For FDE, the parameters are the delays and rapidly oscillating forces.

本项目的研究是主要研究人员对泛函微分方程（FDE）和偏微分方程（PDE）的流动定性理论和吸引子对这些流动参数的依赖的延续。微分方程中的参数主要是扩散系数、边界条件和区域。对于FDE，参数是延迟和快速振荡力。