PHYS 3400 - Nonlinear Dynamical Systems and Chaos

4 credit hours
l systems. Topics include coupled linear and nonlinear difference equations; coupled linear and nonlinear ordinary differential equations; fixed points; equilibrium points; stability; bifurcations; limit cycles; logistic equation; Feigenbaum scaling; fractals; Hausdorff dimension; dissipative and Hamiltonian systems; Liapunov’s method; strange attractors; nonlinear oscillations; perturbation theory; Lorenz equations; chaos; predictability; computer programming and graphics. Requisites may be bypassed by the department with permission of instructor.

Prerequisite Course(s): PHYS 1230, MATH 2340; CPSC 1220 or ECEGR 1000