NONLINEAR SYSTEMS

Catalog description

Prerequisite: PHYS 2230 and MATH 2217.(Same as MATH 3352) A computationally intensive course on creating and interpreting mathematical models for nonlinear systems. The computer algebra system, Maple, is centrally used to model nonlinear applications in various disciplines. Topics covered include topological and numerical analysis of nonlinear differential equations, limit cycles, forced oscillations and nonlinear maps. Particular attention is devoted to the period-doubling route to chaos and methods of identifying chaos such as Poincare sections and Fourier power spectra of dynamical systems. Offered in alternate years.Faculty: N. JEVTIC, D. LESSIE