title: Effect of noise on chemical waves in three-dimensional reaction-diffusion systems with gradient.
abstract: The effect of noise on chemical waves in a quasi-three-dimensional reaction-diffusion medium with a gradient in the third dimension is studied using the FitzHugh-Nagumo model [R. FitzHugh, Biophysics J. 1, 445 (1961)]. Numerical simulations reveal that noise of appropriate intensity can postpone the onset of turbulence and stabilize the three-dimensional (3D) waves which would otherwise undergo the gradient-induced collapse. It is also found that the 3D waves can be interrupted by incident irregularities when the noise is not too strong; it can be induced into complete turbulence when the noise is strong enough. A mathematical analysis is given based on the dependence of the oscillation frequency on the control parameter. It agrees qualitatively with our numerical findings.
authors: Department of Physics, Peking University, Beijing, PR China.
authors: Xiaochuan
authors: X
authors: Lu
authors: Chunyan
authors: C
authors: Wang
authors: Chun
authors: C
authors: Qiao
authors: Yabi
authors: Y
authors: Wu
authors: Qi
authors: Q
authors: Ouyang
authors: Hongli
authors: H
authors: Wang
mesh_terms: D055598:Chemical Phenomena; D002627:Chemistry, Physical; D003198:Computer Simulation; D004058:Diffusion; D008433:Mathematics; D008962:Models, Theoretical; D009622:Noise / Q000009:adverse effects*; D009991:Oscillometry