A. Cenys et al., SYMMETRY BETWEEN LAMINAR AND BURST PHASES FOR ON-OFF INTERMITTENCY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(3), 1997, pp. 2592-2596
It is demonstrated both analytically and numerically that a symmetry e
xists between laminar and burst phases of on-off intermittency. The sy
mmetry is a specific feature of on-off intermittency. It does not exis
t for the other types of regular Pomeau-Manneville and crisis-induced
intermittency. A diffusional model, which incorporates reflecting barr
iers representing noise and nonlinearity, predicts the same scaling fo
r the laminar and the burst lengths near the blowout bifurcation point
. The symmetry of the scaling properties is demonstrated numerically f
or two systems exhibiting on-off intermittency, namely, the discrete t
hree-dimensional Henon map and the unidirectionally coupled Rossler os
cillators.