Scaling and Fractal Dimension in Chaotic Systems

混沌系统中的标度和分形维数

• 批准号: 0098632
• 负责人: Edward Ott
• 金额: $ 24万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-08-15 至 2004-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0098632&HistoricalAwards=false
• 关键词: Scaling; Fractal; Dimension; Chaotic; Systems

0098632OttThis project studies several problems in which physical considerations motivate novel questions in chaotic dynamics. The problems include the investigation of chaotic scattering in higher dimensional systems, two-dimensional fluid turbulence with drag, and the transition of certain chaotic systems to bursting states. Although these problems are physically distinct, they are unified by their amenability to similar mathematical techniques.

0098632该项目研究了几个问题，其中物理考虑激发了混沌动力学中的新问题。这些问题包括高维系统中的混沌散射、二维流体的曳力湍流以及某些混沌系统向爆发态的转变。虽然这些问题在物理上是不同的，但它们通过对类似数学技术的适应性而统一起来。