Advanced Nonlinear Dynamics and Chaos (18.386J/2.037J)

Homework Assignments



George Haller (2x3064, Rm. 3-352, ghaller at mit dot edu)

Lectures: Tuesday,Thursday, 11:00am-12:30pm
Office hours: Tuesday, 2:00-3:00pm
Room 3-352

Introductory slides (PDF)

This graduate course discusses advanced topics from the modern theory of nonlinear dynamical systems. Applications will primarily be selected from mechanics and fluid dynamics. Prerequisites: 18.385J/2.036J or equivalent.

Topics include:


The course will draw topics and applications from several sources, including the following textbooks:

Guckenheimer, J., and Holmes, P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

Arnold, V. I., Mathematical Methods of Classical Mechanics

Chicone, C., Ordinary Differential Equations with Applications

These books will be on reserve in Baker Library. There is no required textbook.

Grading: Based on homework.