May 16, 2022  
2021-2022 Catalog 
    
2021-2022 Catalog

MA 425 - Chaos and Nonlinear Dynamics (cross-listed as PY 425)


This course introduces the theoretical foundations of nonlinear dynamics and chaos. Phase space analysis, bifurcations, routes to chaos, renormalization and universality, fractals and strange attractors are presented for a variety of nonlinear systems including maps and flows. Several examples are used to illustrate the theory, from mechanical vibrations, superconducting circuits, chemical oscillations to biological rhythms and neuroscience. Simulations are used throughout the course either by numerical computations with Matlab, Mathematica, or specific software packages. 

Prerequisites & Notes
(Prerequisite: MA 310 or MA 320)

Credits: 3