Dresden 2003 – scientific programme
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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.28: Poster
Thursday, March 27, 2003, 15:30–18:00, P1
Giant improvement of time-delayed feedback control by periodic modulation — •Svitlana Popovich1, Andreas Amann1, Nilüfer Baba2, Eckehard Schöll1, and Wolfram Just3 — 1Institut für Theoretische Physik,TU Berlin, 10623 Berlin — 2Max Planck Institut für Physik komplexer Systeme, 01187 Dresden — 3Institut für Physik, TU Chemnitz, 09107 Chemnitz
We investigate time-delayed feedback control schemes which are based on the unstable modes of the target state, to stabilise unstable periodic orbits. The periodic time dependence of these modes introduces an external time scale in the control process. Phase shifts that develop between these modes and the controlled periodic orbit may lead to a huge increase of the control performance. We illustrate such a feature on a nonlinear reaction diffusion system with global coupling and give a detailed investigation for the R"ossler model. In addition we provide the analytical explanation for the observed control features.