U.S.-Brazil Cooperative Research in Dynamical Systems

该奖项支持北卡罗来纳大学教堂山分校的谢尔顿·纽豪斯、德克萨斯大学奥斯汀分校的罗伯特·威廉姆斯亚利桑那大学的莱桑·杨和纽约市立大学的丹尼斯·沙利文与雅各布·帕里斯和巴西里约热内卢理论与应用数学研究所(IMPA)的其他六人合作。他们将研究动力系统，包括同宿分支的特定区域，Riemann球面的有理映射，区间映射的稳定性猜想，以及Lorentz吸引子的动力学和拓扑。在过去的二十多年里，这一领域取得了重大进展，对生物、物理、化学和经济学的应用产生了越来越大的影响。该项目将在从事对两国都至关重要的前沿研究的小组之间提供直接合作。它还将进一步加强两个生产小组在动力系统领域合作的强大背景。

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.