ECE 273A Advanced Dynamics

First and Second Terms (Same as ME 232A and ME 232B) Content Analysis of models described by nonlinear differential equations. Topics: equilibria, stability, Lyapunov functions, periodic solutions, Poincaré Bendixon theory, Poincaré maps, attractors and structural stability, the Euler-Lagrange equations, mechanical systems, small oscillations, dissipation, energy as a Lyapunov function, conservation laws, introduction to simple bifurcations and eigenvalue crossing conditions, Discussion of bifurcations in applications, invariant manifolds, the method of averaging, Melnikov’s method and the Smale horseshoe.

Cross Listed Courses

ECE 273A and ME 232A


AMCS 201, AMCS 202