Mathematical Sciences: Nonlinear Dynamical Systems

本项目将研究非线性的定性性质， 动力系统，重点是以下领域： (1)奇摄动微分几何理论 有限维和无限维方程;（2）微分方程 在各种领域（生理学， 光学、生物学）;（3）动力系统 表现出单调和类似梯度的行为。在所有这些 领域的重点将是全球结构，如吸引子， 周期轨道、梯度结构和同异宿 轨道和这些结构的分叉

This project will study qualitative properties of nonlinear dynamical systems, with an emphasis on the following areas: (1) geometric theory of singularly perturbed differential equations, both finite and infinite dimensional; (2) differential delay equations arising in various areas (physiology, optics,biology) of science; and (3) dynamical systems exhibiting monotone and gradient-like behavior. In all these areas the focus will be on global structures such as attractors, periodic orbits, gradient structures and homo/heteroclinic orbits, and bifurcations of these structures.