Mathematical Sciences: Exotic Topology in Non-Pathological Dynamical Systems

这项拨款支持朱迪·肯尼迪的研究。 目标 研究的目的是研究奇异拓扑结构在 在典型的动力系统中。 有很多证据表明 这些情况经常发生，即使在低海拔地区也不可避免。 尺寸. 混沌是一种现象，可以发生在非常简单的 模拟日常生活许多方面的动态系统。 的 溶液行为对初始值微小变化的依赖性 条件和参数可以深刻地影响预期的 成果。

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.