Academic Catalog

ME506 DYNAMICS OF NONLINEAR SYSTEMS

Course Code: 5690506
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Mechanical Engineering
Language of Instruction: English
Level of Study: Graduate
Course Coordinator:
Offered Semester: Fall and Spring Semesters.

Course Content

Introduction to nonlinear systems. Limit cycle analysis. Piecewise linearization. Forced nonlinear systems. Approximation methods; multiple time scale, Poincare perturbation, Krylov and Bogoliubov methods. Describing function analysis. Stability of nonlinear systems; Lyapunov theory, Aizerman's and Kalman's conjectures, Lure's problem, Popov, circle and parabola criteria.