Mathematical Sciences: Abundance of Sinai-Bowen-Ruelle Measures for Non-Hyperbolic Diffeomorphisms

数学科学：非双曲微分同胚的丰富 Sinai-Bowen-Ruelle 测度

• 批准号: 9303369
• 负责人: Michael Jakobson
• 金额: $ 8.42万
• 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: 1993
• 资助国家: 美国
• 起止时间: 1993-06-01 至 1997-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9303369&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Abundance; Sinai; Bowen

The investigator proposes to work on several problems in the area of dynamical systems involving the existence of attractors carrying Sinai-Bowen-Ruelle measures. Investigations of ergodic properties of these measures are proposed along with the generalization to multi-dimensional attractors with unstable manifolds. Applications to a variety of physical models and several computer experiments are also intended.

调查员建议在调查中解决几个问题。 存在吸引子的动力系统的区域 带着西奈-鲍文-吕埃尔的措施。 遍历性研究 这些措施的性质提出了沿着 多维不稳定吸引子的推广 流形 应用于各种物理模型， 还打算进行几项计算机实验。