Delay Differential Equations (2020) 

Dynamical systems are concerned with anything that changes. They originated from celestial mechanics and serve as the basis for the deterministic description of the universe. This course studies delay differential equations from the perspective of infinite-dimensional dynamical systems, exploring the impact of time delay on nonlinear phenomena. We will first introduce the existence, uniqueness, and stability of solutions, followed by an introduction to relevant applications, such as time-delayed feedback control and global bifurcation in ecological models.

The recommended prerequisites for taking this course on delay differential equations are basic knowledge of ordinary differential equations, a desire for knowledge, and an open mind.