Effect of Noise on the Low Flow Rate Chaos in the Belousov-Zhabotinsky Reaction

We investigated systematically the effect of Gaussian white noise (type P noise) on the low flow rate chaos in both systems far from and close to bifurcation points using the three-variable ODE of the Belousov-Zhabotinsky reaction developed by Gyorgyi and Field. When the noise is added to the chaos with the bifurcation parameter far from bifurcation points, the chaos trajectories are slightly scattered. However, in the chaos having the bifurcation parameter near bifurcation points, it happens that topological entropy is constant but the Lyapunov exponent decreases. We have found that this phenomenon, named "noise-induced order" appears in intermittent chaos with the internal structure of m-periodic oscillations, and that "noise-induced order," is caused by an increase in the length of laminar region and the subsequent change of the invariant density.