Advanced Ordinary Differential Equations I (2023)

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. In this course we will study ordinary differential equations from the perspective of dynamical systems, with special emphasis on stability analysis of equilibrium and periodic solutions, invariant manifolds, and bifurcation theory.

This course is delivered in the framework of English as a Medium of Instruction (EMI). Mandarin is used only on occasions to ensure understanding and during the Q&A sessions. 

Suggested (but not mandatory) prerequisites: basic concepts of ordinary differential equations, an eagerness for learning, and an open mind.