@misc{BerensteinBetaDeDecker2016,
  author    = {Berenstein, Igal and Beta, Carsten and De Decker, Yannick},
  title     = {Comment on "Flow-induced arrest of spatiotemporal chaos and transition to a stationary pattern in the Gray-Scott model"},
  series = {Physical review : E, Statistical, nonlinear and soft matter physics},
  volume    = {94},
  journal   = {Physical review : E, Statistical, nonlinear and soft matter physics},
  publisher = {American Physical Society},
  address   = {College Park},
  issn      = {2470-0045},
  doi       = {10.1103/PhysRevE.94.046201},
  pages     = {3},
  year      = {2016},
  abstract  = {In this Comment, we review the results of pattern formation in a reaction-diffusion-advection system following the kinetics of the Gray-Scott model. A recent paper by Das [Phys. Rev. E 92, 052914 (2015)] shows that spatiotemporal chaos of the intermittency type can disappear as the advective flow is increased. This study, however, refers to a single point in the space of kinetic parameters of the original Gray-Scott model. Here we show that the wealth of patterns increases substantially as some of these parameters are changed. In addition to spatiotemporal intermittency, defect-mediated turbulence can also be found. In all cases, however, the chaotic behavior is seen to disappear as the advective flow is increased, following a scenario similar to what was reported in our earlier work [I. Berenstein and C. Beta, Phys. Rev. E 86, 056205 (2012)] as well as by Das. We also point out that a similar phenomenon can be found in other reaction-diffusion-advection models, such as the Oregonator model for the Belousov-Zhabotinsky reaction under flow conditions.},
  language  = {en}
}
@misc{LeproNagelKlumppetal.2019,
  author    = {Lepro, Valentino and Nagel, Oliver and Klumpp, Stefan and Lipowsky, Reinhard and Beta, Carsten},
  title     = {Cooperative Transport by Amoeboid Cells},
  series = {Biophysical journal},
  volume    = {116},
  journal   = {Biophysical journal},
  number    = {3},
  publisher = {Cell Press},
  address   = {Cambridge},
  issn      = {0006-3495},
  doi       = {10.1016/j.bpj.2018.11.682},
  pages     = {122A -- 122A},
  year      = {2019},
  language  = {en}
}
@misc{StichBeta2019,
  author    = {Stich, Michael and Beta, Carsten},
  title     = {Time-Delay Feedback Control of an Oscillatory Medium},
  series = {Biological Systems: Nonlinear Dynamics Approach},
  volume    = {20},
  journal   = {Biological Systems: Nonlinear Dynamics Approach},
  publisher = {Springer},
  address   = {Cham},
  isbn      = {978-3-030-16585-7},
  issn      = {2199-3041},
  doi       = {10.1007/978-3-030-16585-7_1},
  pages     = {1 -- 17},
  year      = {2019},
  abstract  = {The supercritical Hopf bifurcation is one of the simplest ways in which a stationary state of a nonlinear system can undergo a transition to stable self-sustained oscillations. At the bifurcation point, a small-amplitude limit cycle is born, which already at onset displays a finite frequency. If we consider a reaction-diffusion system that undergoes a supercritical Hopf bifurcation, its dynamics is described by the complex Ginzburg-Landau equation (CGLE). Here, we study such a system in the parameter regime where the CGLE shows spatio-temporal chaos. We review a type of time-delay feedback methods which is suitable to suppress chaos and replace it by other spatio-temporal solutions such as uniform oscillations, plane waves, standing waves, and the stationary state.},
  language  = {en}
}