NOISE INDUCED RESONANT TRANSITION BETWEEN TURING PATTERNS

Abstract

We report a noise assisted and optimized resonant transition behavior between two metastable Turing pattern states in a piecewise FitzHu–Nagumo model. The response of the bistable Turing system to a weak periodic signal which modulates the attraction domain of the piecewise function is enhanced with the addition of noise. The quantity that measures the resonant transition between the bistable states and the periodicity of the Turing pattern shows a tent-shape dependence on the intensity of noise, which is the fingerprint of stochastic resonance. As the frequency of the signal is increased to be high enough, the coherent transition disappears.