Mathematical Sciences: Nonlinear Dynamical Systems

[9310328] Mallet-Paret我们建议研究出现在不同科学领域的几类动力系统的基本定性性质。在感兴趣的系统中，包括那些涉及奇摄动微分方程、微分时滞方程和相关线性问题的几何理论的系统。我们建议研究在不同科学领域中出现的几类动力系统的基本定性性质。动力系统模拟了许多科学领域中广泛的重要现象。其中包括细胞群生长问题（模拟各种疾病过程）、流体流动问题以及涉及扩散和化学反应相互作用的问题。＊＊＊

9310328 Mallet-Paret We propose to study fundamental qualitative properties of several classes of dynamical systems which arise in various areas of science. Among the systems of interest are those involving geometric theory of singularly perturbed differential equations, differential delay equations, and associated linear problems. We propose to study fundamental qualitative properties of several classes of dynamical systems which arise in various areas of science. The dynamical systems model a wide range of important phenomena in a number of areas of science. Among them are problems of cell population growth (modeling various disease processes), problems of fluid flow, and problems involving interaction of diffusion and chemical reaction. ***