APMA 624 - Nonlinear Dynamics and Waves

Introduces phase-space methods, elementary bifurcation theory and perturbation theory, and applies them to the study of stability in the contexts of nonlinear dynamical systems and nonlinear waves, including free and forces nonlinear vibrations and wave motions. Examples are drawn from mechanics and fluid dynamics, and include transitions to periodic oscillations and chaotic oscillations. Also cross-listed as MAE 624. (O)

Prerequisites & Notes
Prerequisite: Undergraduate ordinary differential equations or instructor permission.

Credits: 3