U.S.-Brazil Cooperative Research in Dynamical Systems

该奖项支持合作研究， 动力系统的数学将由 北卡罗来纳州大学的谢尔顿纽豪斯 在查佩尔山，牛津大学的罗伯特威廉姆斯 德克萨斯大学奥斯汀分校的Lai-sang Young说， 亚利桑那州和丹尼斯沙利文在纽约市立大学的合作 雅各布·帕利斯和其他六个人在研究所， 纯粹与应用数学（IMPA）在里约热内卢， 巴西 他们将研究动力系统，包括 同宿分支的特定区域， 黎曼球面上的有理映射，稳定性 区间映射猜想与动力学 洛伦兹吸引子的拓扑结构 在过去的二十年左右， 在这一领域取得的进展， 在生物学、物理学、化学和 经济学 该项目将提供直接 从事前沿研究的团体之间的合作 对两国都至关重要。 它将 也进一步强化了 两个生产小组在该领域的合作 动力系统的。

This award supports cooperative research in the mathematics of dynamical systems to be conducted by Sheldon Newhouse of the University of North Carolina at Chapel Hill, Robert Williams of the University of Texas at Austin, Lai-sang Young of the University of Arizona and Dennis Sullivan at CUNY in cooperation with Jacob Palis and six others at the Institute for Pure and Applied Mathematics (IMPA) in Rio de Janeiro, Brazil. They will study dynamical systems including the specific areas of homoclinic bifurcations, rational mappings of the Riemann sphere, stability conjecture for maps of the interval and the dynamics and topology of the Lorentz attractor. In the last twenty or so years, significant progress has been made in this field with increasing impact on applications in biology, physics, chemistry and economics. This project will provide direct cooperation between groups doing frontier research of fundamental importance to both countries. It will also further strengthen the strong background of cooperation between two productive groups in the field of dynamical systems.