Numerical methods for finding periodic solutions of dynamical systems

27 November 2008
11:00
to
12:30
Prof. Divakar Viswanath
Abstract
Recurrences have been central to the study of dynamical systems ever since the inception of the subject. Periodic solutions make the notion of recurrences exact. The Lorenz attractor is the best known example of a strange attractor and we will describe a method to find periodic solutions that lie on it. Additionally, we will consider a turbulent channel flow and describe the computation of time periodic solutions using nearly $300,000$ degrees of freedom to represent the velocity field.
• Applied Dynamical Systems and Inverse Problems Seminar