PHYS346

This course engages the student in the qualitative analysis of nonlinear dynamical equations, including their features (e.g., the existence and stability of fixed points and limit cycles, dynamical bifurcations, and chaotic behavior), as well as the study of nonlinear maps and fractals. Mathematical and computational concepts will be gradually introduced and emphasis will be given to specific examples drawn from a range of natural sciences, social sciences, and engineering, which facilitate the understanding of dynamical systems theory and emphasize its relevance in practical applications. Time permitting, additional topics at the forefront dynamical systems research will be discussed, such as the study of pattern forming systems, the emergence of spatiotemporal complexity in high-dimensional systems, and spontaneous self-organization.

Even Years

Spring Semester