Generation of 1/f noise in locked systems working in nonlinear mode

摘要

Properties of the phase fluctuations of a nonlinear oscillatornwere investigated. The multiscale aspect of synchronization isnexperimentally confirmed with the observation of lockings at anynrational ratio. This global property of synchronization is associatednwith a local one by the study of the phase locked loop (PLL) undernnonlinear conditions. We show that the discontinuity between the lockingnand the free-run state is characterized by the presence of slow temporalnvariations that induce a low frequency spectrum. An experimentalnverification of the increase of fluctuations confirms the classicalnresults, which associate 1/f noise to nonlinearity, autosimilarity andnregularity, represented here by the synchronization