Cooper Union

Chaos and Nonlinear Dynamics in Engineering and Science

Course examines the mathematical formalism and methods of analysis and solution of deterministic autonomous and non-autonomous nonlinear systems, including phase space, local and global bifurcations, limit cycles and attractors, strange attractors, chaos and fractals, maps and universality. Applications will be drawn from nonlinear oscillators in biology, chemistry and electronics, mechanical and structural stability, geophysics, astrophysics and fluid dynamics, as well as from models used in climate science, economics and epidemics.

Prerequisites: Ph 214, Ma 113 (Ma 240 preferred) and CS 102 or ECE 160

Credits: 3.00

Course Code: Ph 429

Founded by inventor, industrialist and philanthropist Peter Cooper in 1859, The Cooper Union for the Advancement of Science and Art offers education in art, architecture and engineering, as well as courses in the humanities and social sciences.
“My feelings, my desires, my hopes, embrace humanity throughout the world,” Peter Cooper proclaimed in a speech in 1853. He looked forward to a time when, “knowledge shall cover the earth as waters cover the great deep.”
From its beginnings, Cooper Union was a unique institution, dedicated to founder Peter Cooper's proposition that education is the key not only to personal prosperity but to civic virtue and harmony.
Peter Cooper wanted his graduates to acquire the technical mastery and entrepreneurial skills, enrich their intellects and spark their creativity, and develop a sense of social justice that would translate into action.