Dynamical Study of Almost Periodic Systems with Applications

准周期系统的动力学研究及其应用

• 批准号: 9501412
• 负责人: Yingfei Yi
• 金额: $ 6.64万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-06-01 至 1998-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9501412&HistoricalAwards=false
• 关键词: Dynamical; Study; Almost; Periodic; Systems

9501412 Yi This project is focused on problems in dynamical systems and differential equations originating in science and engineering problems. Its primary goal will be to study almost periodical phenomena and complicated dynamics arising in ordinary and parabolic type of differential equations. Particular attention shall be given to problems of perturbation of invariant tori, quasi-periodic bifurcations, dynamics of almost periodical parabolic equations such as asymptotical behavior of solutions, structure of invariant sets and existence of a global attractor, etc. Techniques from topological dynamics and nonlinear analysis as well as those found by the PI in his previous works shall be employed to the current studies. %%% This project is focused on problems in dynamical systems originating in science and engineering problems. Its primary goal will be to study almost periodical phenomena and complicated dynamamics arising in fluid as well as biological models. New techniques found by the PI in his previous works shall be employed to the current studies. ***

小行星9501412 该项目的重点是在动力系统和微分方程起源于科学和工程问题的问题。 它的主要目标将是研究几乎周期性的现象和复杂的动力学所产生的普通和抛物型微分方程。 应特别注意的问题的扰动不变环面，拟周期分岔，动力学的几乎周期抛物方程，如渐近行为的解决方案，结构不变集和存在的一个全球吸引子等技术，从拓扑动力学和非线性分析，以及那些发现PI在他以前的作品，应采用到目前的研究。 该项目的重点是源于科学和工程问题的动力系统问题。 它的主要目标将是研究几乎周期性的现象和复杂的动力学产生的流体以及生物模型。 主要研究者在其以前的工作中发现的新技术应被用于当前的研究。 ***