Title: Stabilization (or not) of periodic orbits via time-delay feedback
Speaker: Joshua Socolar
Speaker Info: Duke University
Brief Description:
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Abstract:
The idea of controlling chaos depends upon the feasibility of stabilizing periodic orbits embedded in an attractor. In certain situations, conventional control methods for stabilization are difficult to implement and time-delay techniques may be useful. I will discuss studies of the domains in parameter space over which time-delay techniques can work, in principle, for systems with just a few degrees of freedom, for the complex Ginzburg-Landau equation in 1D and 2D, and for related equations relevant for optical and electronic devices. The presence of zero-torsion instabilities prevents the extension of the 1D success to 2D.Date: Thursday, March 1, 2001