Теория фракталов и мультифракталов [1-6] сейчас широко используется для описания
свойств самоподобия и сложного скейлинга, наблюдаемых в самых разных физических …

This paper presents the foundations of the continuous wavelet-transform-based multifractal
analysis theory and the information necessary for its practical application. It explains …

We develop a method for the multifractal characterization of nonstationary time series, which
is based on a generalization of the detrended fluctuation analysis (DFA). We relate our …

Abstract Properties of the mean wind in thermal convection, especially the abrupt reversal of
its direction at high Rayleigh numbers, are studied. Measurements made in a closed …

The phenomenon of irregular cessation and subsequent reversal of the large-scale
circulation in turbulent Rayleigh-Bénard convection is theoretically analyzed. The force and …

The mean first-passage time (MFPT) and the weak signal detection method of stochastic
resonance (SR) on multi-stable nonlinear system under color correlated noise are studied …

The theoretical method of stochastic resonance (SR) is helpful for the extraction of
mechanical fault signals in the background of strong noise. Therefore, SR has been …

Stochastic resonance (SR) is used widely as a weak signal detection method by using noise
in many fields. In order to improve the weak signal processing capability of SR, a novel …

We study the effect of noise on p53 regulatory network, the core of a cell's modulator for
switching between survival and apoptosis. We find that the fluctuations, originating from …

An adaptive smooth unsaturated bistable stochastic resonance (ASUBSR) system for
bearing fault signal detection is established. Based on the problem of output saturation and …