Mathematical Sciences: Dynamics of Polynomial Diffeomorphisms

数学科学：多项式微分同胚的动力学

• 批准号: 8803228
• 负责人: John Smillie
• 金额: --
• 依托单位: Cornell University
• 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: 1988-07-01 至 1990-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8803228&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Dynamics; Polynomial; Diffeomorphisms

John Smillie will carry out research into the dynamics of polynomial diffeomorphisms. This research belongs to the study of chaos. Smillie will study the Henon family of transformations. These are two dimensional diffeomorphisms of importance because of the fractal nature of their invariant sets. Smillie will study the topological, differential and measure theoretic invariants of these maps. The questions will involve entropy, criteria for hyperbolicity, invariant measures and Lyapunov exponents.

约翰·斯迈利将对以下动态进行研究 多项式同态本研究属于 混沌 Smillie将研究Henon家族的变换。 这些是重要的二维同构，因为 它们不变集的分形性质。斯迈利将学习 的拓扑、微分和测度论不变量 这些地图。这些问题将涉及熵， 双曲性、不变测度和李雅普诺夫指数。