Catalogue Description

This course will focus on nonlinear dynamics and chaotic phenomenon as applied to natural and engineering systems. It will involve geometric and computational techniques as well as analytical methods for the prediction of nonlinear dynamic response. Through examples and a few experiments, the students will be introduced to such concepts as instabilities, bifurcation and catastrophes, nonlinear resonance. Attention will also be given to chaotic phenomenon which has radically changed our understanding of the foundations of classical mechanics and has shed new light on the behavior of lasers, fluids, mechanical structures, and chemical reactions.

This course is open to seniors and graduate students in engineering, physics, chemistry, biology, and mathematics.

The displayed picture (borrowed from www-chaos.ume.edu) shows the Ikeda strange attractor.