Mathematical Sciences: Dynamics and Mechanics

主要研究人员将继续他们在动力系统方面的研究。他们将研究作为动力系统的关系，向量场链递归的另一种方法，计算周期轨道和同宿轨道的数值方法，以及经典n体问题中的中心构型。该奖项将支持动力系统一般领域的研究。一个非常简单的、局部容易理解的过程，可能变得极其复杂、非线性，难以全局分析。动力系统就是对这种局部到全局关系的研究。许多物理系统都可以用这个数学领域来最好地建模，包括流体流动和湍流、复杂的生物系统、机械系统和化学反应。

The principal investigators will continue their research in dynamical systems. They will study relations as dynamical systems, an alternate approach to chain recurrence for vector fields, numerical methods for computing periodic and homoclinic orbits, and central configurations in the classical N-body problem. This award will support research in the general area of dynamical systems. A process which is very simple and easy to understand locally can become extremely complicated, nonlinear, and difficult to analyze globally. Dynamical systems is the study of this local to global relationship. Many physical systems can best be modeled using this area of mathematics including fluid flow and turbulence, complex biological systems, mechanical systems, and chemical reactions.