The correlation between intrinsic noise and extrinsic noise in a stochastic system is reviewed in this paper. And the contribution of the correlation between intrinsic noise and extrinsic noise to the power spectrum is quantified by simulation through a model in a stochastic system. In addition,...

Investigations of the dynamics of heat and mass transfer show that in crisis and transient conditions one can observe high-energy fluctuations with a power spectrum inversely proportional to the frequency (flicker or 1/f fluctuations). Such a spectrum presupposes energy transient from high to...

We study the temporal variability of human brain activity in timeseries of functional magnetic resonance imaging (fMRI) data. We find that these timeseries show scaling behavior which is quantified by computing various scaling exponents. We demonstrate that mentally active zones are one-to-one...

Oscillatory combustion regimes were experimentally investigated under the conditions of ignitable liquid boiling-up before the reaction front. Fluctuations with a power spectral density inversely proportional to frequency (1/f-noise) were observed and the power-law character of distribution...

We report an experimental investigation on the relationship between the thickness of the viscous boundary layer and the highest excitation (or cutoff) frequency of the temperature power spectrum in turbulent convection, using water as working fluid. For the range of the Rayleigh number spanned...

Starting from a consistent and asymptotically normally distributed structural estimate of a dynamic econometric model, this paper provides an analytical derivation of the asymptotic distribution of spectra and cross spectra of the jointly dependent variables. A numerical example is provided on...