When   Friday, November 21, 2008   Time   2:00 PM - 3:00 PM  
Where   Technological Instit M416 2145 Sheridan Rd.   map it
Audience   - Faculty/Staff - Student
Contact   Molly E Scanlon   +1 847 491 5586  
Group   McCormick-Colloquia Engineering Sciences and Applied Mathematics

Applied Math Colloquium

Title: Time Delayed Feedback Control of Subcritical Limit Cycles

Speaker: Genevieve Brown, Northwestern University
Abstract: Time-delayed feedback control of Pyragas type has been shown to stabilize periodic orbits when added to the normal form of a subcritical Hopf bifurcation.  Near the subcritical Hopf bifurcation in the Lorenz equations, the feedback threshold for stabilization is determined via three methods with identical results: (i) converting the system without delay into normal form before adding feedback, (ii) rigorous center manifold reduction of the delay equations, and (iii) numerically.  We also show that a rotationally symmetric gain matrix is "optimal" under the Frobenius norm.

This talk is part of the RTG Seminar Series.