Size of a steady disturbance source affects the frequency of a target wave

Abstract

Controlling the frequency of a target wave is an important issue in the dynamics of pattern formation. A common method for controlling is to apply a local disturbance to the media, such as a periodic disturbance source which is not always valid in practice. In the present study, we proposed a method to control the frequency of a target wave by the application of a steady disturbance. We found that the size of a steady disturbance source affects the frequency of the chemical wave by the numerical simulations of three mathematical models. The simulation results are confirmed by theoretical analysis. Our theory and method shed light in the controlling frequency of the oscillatory media.