APPM 5460 - Methods in Applied Mathematics: Dynamical Systems and Differential Equations Course uri icon



  • Introduces the theory and applications of dynamical systems through solutions to differential equations. Covers existence and uniqueness theory, local stability properties, qualitative analysis, global phase portraits, perturbation theory and bifurcation theory. Special topics may include Melnikov methods, averaging methods, bifurcations to chaos and Hamiltonian systems. Department enforced prerequisites: APPM 2360 and APPM 3310 and APPM 4440.


  • Meiss, James D  
    Primary Instructor - Spring 2018 / Fall 2019 / Fall 2020 / Fall 2022 / Fall 2023