EFFECT OF NOISE ON THE LOW-FLOW RATE CHAOS IN THE BELOUSOV-ZHABOTINSKY REACTION

We investigate systematically the effect of Gaussian white noise (type P noise) on the low flow rate chaos in both systems far from and clos e to bifurcation points using the three-variables ODE of the Belousov- Zhahotinsky reaction developed by Gyorgyi and Field. When the noise is added to the chaos with the bifurcation parameter far from bifurcatio n points, the chaos trajectories are slightly scattered. However, in t he chaos having the bifurcation parameter near bifurcation points, it happens that topological entropy is constant hut 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 oscillation, and that ''noise-induced order'' is caused hy an increase in the length of laminar region and the subsequent change of the invariant density.