Mathematical Sciences: Bifurcation and Symmetry

数学科学：分岔和对称性

• 批准号: 8700897
• 负责人: Martin Golubitsky
• 金额: $ 27.53万
• 依托单位: University of Houston
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-04-01 至 1991-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8700897&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Bifurcation; Symmetry

Bifurcations in differential equations with symmetry will be studied from a theoretical and applied standpoint. In this context the term "bifurcation" refers to a radical change in the solution set of an equation as parameters in the equation pass through certain critical values. A particular system under consideration is a model of Conette-Taylor flow in which fluid systems with symmetries other than rotational are also studied.

具有对称性的微分方程中的分支将是 从理论和应用的角度进行研究。 在这 “分叉”一词是指 方程的解集作为方程中的参数 通过某些临界值。 一个特殊的系统， 考虑的是一个模型的康内特-泰勒流，其中流体 还研究了具有旋转对称性以外的对称性的系统。