SYMMETRY BETWEEN LAMINAR AND BURST PHASES FOR ON-OFF INTERMITTENCY

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.