Exploring term Fall 2023 Change

    MATH442

    Advanced Ordinary Differential Equations

    Rigorous existence and uniqueness theory; qualitative theory of systems of ordinary differential equations including Poincaré and Liapunov stability; periodic orbits; Poincaré-Bendixson theory; bifurcations; stable, unstable and centre manifold theorems. Additional topics may include: averaging and perturbation methods, chaos, Melnikov method, Hamiltonian systems.

    Lecture: 3h
    Lab: 0h
    Tutorial: 0h
    Credits: 1.5