May 11, 2021  
2020-2021 University Catalog 
    
2020-2021 University Catalog [ARCHIVED 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