Control applied to pattern formation in non-linear reaction-diffusion systems

ORAL

Abstract

The Gray-Scott model has been subject of numerous investigations. Due to the nonlinear nature of the coupled reaction-diffusion equations, the system exhibits interesting behavior for certain parameter sets. In many previous studies of this system investigators have used a limited range of parameter values dictated by neglecting diffusion effects. Through systematic parameter adjustment we are able to find novel system pattern formations that were previously overlooked. We present a comprehensive view of these pattern regions and discuss effects of control schemes applied to this system.

Authors

  • Jason Czak

    Virginia Tech

  • Connor Mackert

    Virginia Tech

  • Michel Pleimling

    Virginia Tech