北京雁栖湖应用数学研究院

This course offers an introduction to nonlinear ordinary differential equations and dynamical systems, emphasizing qualitative and analytical tools for understanding long-term behavior. Topics include phase–space analysis, linearization and stability, invariant sets, limit cycles, and bifurcations, etc. Applications from science and engineering are used throughout, and we may also cover modern numerical tools for reliably solving stiff ODEs.