M. Franaszek et L. Fronzoni, INFLUENCE OF NOISE ON CRISIS-INDUCED INTERMITTENCY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(5), 1994, pp. 3888-3893
The experimental study of crisis-induced intermittency in the asymmetr
ic double-well Duffing oscillator shows that small additive noise can
change drastically the properties of a dynamical system after the cris
is. For example, the probability distributions inside the left and the
right wells may be identical for the oscillator with added weak noise
, contrary to the strongly asymmetric distributions observed in the sy
stem without noise. The large attractor created in the crisis may be d
ecomposed onto a pair of repellers which are successors of two smaller
attractors coexisting before the crisis. After the crisis, noise chan
ges independently the mean lifetime of each repeller.