Type-II intermittency in a peroidically driven nonlinear oscillator

We report on the first numerical observation of type-II Pomeau-Manneville intermittency in a periodically driven third-order nonlinear oscillator. A discussion of such a transition to chaos in terms of the interaction of a local instability (subcritical Hopf bifurcation) and a global instability (homoclinic bifurcation) of a periodic motion is provided. We investigate the distribution of the laminar lengths and compare our numerical results with the theory. Emphasis is given to the 1/$f^{\delta }$ divergence (δ∼0.67∓0.10) observed in the small-frequency limit of power spectra.