Nonlinear Dynamical Systems

Catalog description

Credits 3. 3 Lecture Hours. Exact and approximate solutions to nonlinear differential equations; multiple time scales, Lindstedt Poincare, KB, Harmonic balance and other approximate solution techniques; limit cycles, Lyapunov stability theorems, stability of parametrically excited systems, coexisting harmonic solutions, bifurcation theory, shooting approaches for harmonic solutions, chaos, Lyapunov exponents, paths to chaos, synchronization, fractals, practical applications. Prerequisites: Course in differential equations; graduate classification or approval of instructor.