Type-II intermittency in a peroidically driven nonlinear oscillator

P. Richetti (1) , Françoise Argoul (1) , A. Arneodo (1)

1 CRPP - Centre de recherches Paul Pascal

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/fδ divergence (δ∼0.67∓0.10) observed in the small-frequency limit of power spectra.

Domaines: Biophysique [physics.bio-ph]

P. Richetti, Françoise Argoul, A. Arneodo. Type-II intermittency in a peroidically driven nonlinear oscillator. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 1986, 34 (1), pp.726-729. ⟨10.1103/PhysRevA.34.726⟩. ⟨hal-01557016⟩