Mathematical Sciences: Exotic Topology in Non-Pathological Dynamical Systems

这笔拨款支持朱迪·肯尼迪的研究。本研究的目的是研究奇异拓扑集在典型动力系统中的作用。有很多证据表明，即使在低维情况下，这些集合也会频繁出现，而且不可避免。混沌是一种可以发生在非常简单的动力系统中的现象，它模拟了日常生活的许多方面。溶液行为对初始条件和参数的微小变化的依赖可以深刻地影响预期结果。

This grant supports the research of Judy Kennedy. The goal of the research is to investigate the role of exotic topological sets in typical dynamical systems. There is much evidence that these sets occur frequently and unavoidable even in low dimensions. Chaos is a phenomenon that can occur in very simple dynamical systems that model many aspects of everyday life. The dependence of solution behavior on small changes in initial conditions and in parameters can profoundly influence expected outcomes.