Correlations and spectra of strange nonchaotic attractors

Abstract

We consider correlations and spectra of strange nonchaotic attractors in quasiperiodically driven nonlinear systems. It is demonstrated that a self-similar autocorrelation function and a singular continuous spectrum may be observed in such systems. The properties of correlations and spectra depend very subtly on the rotation number of the quasiperiodic force and on the parameters of the system, for some parameter values the usual discrete spectrum is restored.