Mathematical Sciences: Dynamics of Quadratic Polynomials

数学科学：二次多项式动力学

• 批准号: 9400974
• 负责人: Yunping Jiang
• 金额: $ 3万
• 依托单位: CUNY Queens College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1996-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9400974&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Dynamics; Quadratic; Polynomials

9400974 Jiang The research entails connectedness properties of Julia sets in complex dynamical systems. A local connectedness property already established for certain cases is proposed to be established in a more general context. This research is in the mainstream of ideas of modern dynamical systems. Work of this type has applications to fractals and chaos. Since this area has become increasingly visual and more accessible to other scientific fields, there is potential educational value. ***

9400974江：研究复杂动力系统中Julia集的连通性。建议在更一般的情况下建立已经为某些情况确立的局部连通性性质。这项研究是现代动力系统思想的主流。这种类型的工作可以应用于分形学和混沌。由于这一领域已经变得越来越可视化，其他科学领域也更容易接近，因此具有潜在的教育价值。***