@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}
}
@article{BoedekerBetaFranketal.2010,
  author    = {Boedeker, Hendrik Ulrich and Beta, Carsten and Frank, Till D. and Bodenschatz, Eberhard},
  title     = {Quantitative analysis of random ameboid motion},
  issn      = {0295-5075},
  doi       = {10.1209/0295-5075/90/28005},
  year      = {2010},
  abstract  = {We quantify random migration of the social ameba Dictyostelium discoideum. We demonstrate that the statistics of cell motion can be described by an underlying Langevin-type stochastic differential equation. An analytic expression for the velocity distribution function is derived. The separation into deterministic and stochastic parts of the movement shows that the cells undergo a damped motion with multiplicative noise. Both contributions to the dynamics display a distinct response to external physiological stimuli. The deterministic component depends on the developmental state and ambient levels of signaling substances, while the stochastic part does not.},
  language  = {en}
}