New aspect of noise-induced order in the one-dimensional chaos of the Belousov-Zhabotinsky reaction

Abstract

The mechanism of appearance of order in chaos with Gaussian white noise is discussed based on the one-dimensional return map of the high flow rate chaos of the Belousov-Zhabotinsky reaction. When the noise is imposed on the chaos, it occasionally happens that the topological entropy is constant but the Kolmogorov entropy decreases. An analysis on the five-times iterated return map reveals that this phenomenon, named 'noise-induced order', is caused by an increase of the passage time at the laminar region and the subsequent change of the invariant density.