Online Courses

AE 554 - Dynamical Systems Theory

Spring 2015

Dynamical Systems TheoryONL62445ONL -    N Sri Namachchivaya

Course Description

Fundamental concepts of nonlinear oscillations, structural stability, local and global bifurcations in the context of ordinary and partial differential equations; dynamic systems, structural stability and Lyapunov-Schmidt Reduction, bifurcations of equilibrium points, limit cycles and tori, the center manifold and Poincare normal forms, co-dimension two and higher order bifurcations, bifurcation theory of maps, the Birkhoff-Smale homoclinic theorem and horseshoes, Melnikov's method and Silnikov phenomena, period doubling, and other routes to chaos are covered in this course. Applications to engineering problems, such as aircraft at high angles of attack, pipes conveying fluid, and panel flutter are covered as well.

Credit Hours

4 hours


BS degree in engineering or science from an accredited college in the United States or an approved institution of higher learning abroad and a course in Aerospace Dynamical Systems (AE 352) or Intermediate Dynamics (TAM 412).