Creating novel patterns with localized control in non-linear reaction-diffusion systems

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 observe and characterize novel system patterns that were previously overlooked. Localized control routines are applied to the system creating long range periodic order from a chaotic parameter space region. We present a comprehensive view of the effects of control routines applied to this system.