Mathematical Sciences: Two-Dimensional Smooth Dynamics and Fractal Geometry

数学科学：二维平滑动力学和分形几何

• 批准号: 9301509
• 负责人: Alec Kercheval
• 金额: $ 2.54万
• 依托单位: University of Texas at Austin
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-06-01 至 1995-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9301509&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Two; Dimensional; Smooth

The research entails investigations of 2-dimensional discrete dynamical systems using methods of topology and complex function theory. The dynamics of smooth fractal curves, Julia sets and dynamics will also be investigated. Such research has potential applications to a variety of physical models where two dimensional dynamics and fractals are relevant.

这项研究需要调查的二维 离散动力系统的拓扑和复变方法 功能理论 光滑分形曲线的动力学，朱莉娅 还将研究集和动力学。这类研究 潜在的应用到各种物理模型，其中两个 维度动力学和分形是相关的。