Applying time-delayed feedback to unstable extended systems
Using time-delayed feedback (TDF) has shown to be an
efficient way for controlling fast systems with large Liapunov exponents.
I will use a one dimensional map in order to demonstrate the robustness
of this method and show how it is applied to any 1-D map which may be very
chaotic to begin with. Stabilization of uniform or ordered states
in spatially extended systems is of importance in many fields. Coupled
map lattices (CML) are used to simulate spatio-temporal systems and their
control has been and is being studied. The problem of sparse control
will be reviewed and some results from applying TDF to unstable CMLs will
be discussed.
Ilan Harrington
Physics Department
Box 90305
Duke University
Durham NC 27708, USA
Voice: (919) 660-2549
Fax: (919) 660-2525
Email: ilanh@phy.duke.edu