MATH-5254: Nonlinear Systems
Description: Dynamics of conservative and nonconservative systems; phase planes; local and global stability; damping mechanisms; self-excited oscillators. Forced oscillations of one-degree-of-freedom systems; primary, secondary, and multiple resonances; period-multiplying bifurcations; strange attractors; chaos. Parametric excitations; Floquet theory; influence of damping and nonlinearity. Multi-degree-of-freedom systems; concepts of internal and external resonances; Hopf bifurcation. Applications to continuous systems; strings, beams, plates, and shells.
Pathways: N/A
Course Hours: 3 credits
Sections Taught: 0
Average GPA: N/A
Strict A Rate (No A-) : N/A%
Average Withdrawal Rate: N/A%