Complicated Dynamics and Their Implications for System Design Methodologies

复杂动力学及其对系统设计方法的影响

• 批准号: 8702889
• 负责人: Fathi Salem
• 金额: $ 17.53万
• 依托单位: Michigan State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-01 至 1991-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8702889&HistoricalAwards=false
• 关键词: Complicated; Dynamics; Their; Implications; System

The objective of this research is to interpret, adapt and extend the concepts and techniques associated with certain local and nonlocal bifurcations so that they become valuable tools for system design, stability and feedback control mechanisms. In particular, it will focus on theoretical issues, applicability to several engineering systems, and computer-assisted graphics and computations. Recent results on local bifurcations, chaos and Arnold diffusion will be employed and further developed. Local bifurcations, chaos and Arnold diffusion constitute an undesirable form of instability which has to be systematically addressed in current engineering design and control methodologies. In particular, they are not desirable in power systems, Josephson junctions or adaptive and feedback control systems. The results of this work could be used as proper design criteria for wide class of engineering systems.

这项研究的目的是解释，适应和扩展 与某些局部和非局部相关的概念和技术 分叉，使它们成为系统设计的有价值的工具， 稳定性和反馈控制机制。 特别是，它将侧重于 理论问题，适用于几个工程系统， 计算机辅助图形和计算。 本地最新结果 分叉，混沌和Arnold扩散，并进一步 开发 局部分岔、混沌和Arnold扩散构成了一个 必须有系统地解决不受欢迎的不稳定形式 在当前的工程设计和控制方法。 特别是， 它们在电力系统、约瑟夫森结或自适应系统中是不理想的。 反馈控制系统。 这项工作的结果可以作为 适用于各类工程系统的适当设计准则。