@article{StichBeta2010,
  author    = {Stich, Michael and Beta, Carsten},
  title     = {Control of pattern formation by time-delay feedback with global and local contributions},
  issn      = {0167-2789},
  doi       = {10.1016/j.physd.2010.05.001},
  year      = {2010},
  abstract  = {We consider the suppression of spatiotemporal chaos in the complex Ginzburg-Landau equation by a combined global and local time-delay feedback. Feedback terms are implemented as a control scheme, i.e., they are proportional to the difference between the time-delayed state of the system and its current state. We perform a linear stability analysis of uniform oscillations with respect to space-dependent perturbations and compare with numerical simulations. Similarly, for the fixed-point solution that corresponds to amplitude death in the spatially extended system, a linear stability analysis with respect to space-dependent perturbations is performed and complemented by numerical simulations.},
  language  = {en}
}