Networks of living neurons exhibit diverse patterns of activity, which are always operating far from equilibrium in the mammalian central nervous system. In this study, a blocker of glutamate transporter was employed to detect if nonlinear interactions changed when extra glutamate acted as a potent neurotoxin to neural activity in hippocampus of epileptic Wistar rats. A hypothesis was made that...

Bearing failure is one of the dominant causes of failure and breakdowns in rotating machinery, leading to huge economic loss. Aiming at the nonstationary and nonlinear characteristics of bearing vibration signals as well as the complexity of condition-indicating information distribution in the signals, a novel rolling element bearing fault diagnosis method based on multifractal theory and gray ...

We have performed detailed multifractal analysis on the minutely volatility of two indexes and 1139 stocks in the Chinese stock markets based on the partition function approach. The partition function χq(s) scales as a power law with respect to box size s. The scaling exponents τ(q) form a nonlinear function of q. Statistical tests based on bootstrapping show that the extracted multifractal nat...

Turbulent cascade processes generically give rise to asymptotic in between these functions and hence obtain extremely variable multifractals, and there is now the single scattering statistics. In some special cases, it is abundant empirical evidence that both cloud liquid water possible to renormalize the multifractal so as to obtain an density and cloud radiance fields are multifractal over eq...

In an earlier paper MR the authors introduced the inverse measure y dt of a given measure dt on and presented the inversion formula f f which was argued to link the respective multifractal spectra of and y A second paper RM established the formula under the assumption that and y are continuous measures Here we investigate the general case which reveals telling details of interest to the full un...

This paper investigates the nature of the fluctuation of the daily average Solar wind speed time series collected over a period of 2492 days, from 1st January, 1997 to 28th October, 2003. The degree of self-similarity and scalability of the Solar Wind Speed signal has been explored to characterise the signal fluctuation. Multifractal Detrended Fluctuation Analysis (MFDFA) method has been implem...

We applied the Multifractal Detrended Fluctuation Analysis (MF-DFA), which allows to detect multifractality in nonstationary signals, to the hourly means of local geomagnetic field recorded at Mt. Etna volcano (southern Italy). We studied the signal measured at one geomagnetic station, installed at the summit of volcano, which was characterized by a strong eruption on 27 October 2002. We analyz...

In this paper, we introduce two new features for the design of electroencephalography (EEG) based Brain-Computer Interfaces (BCI): one feature based on multifractal cumulants, and one feature based on the predictive complexity of the EEG time series. The multifractal cumulants feature measures the signal regularity, while the predictive complexity measures the difficulty to predict the future o...

We consider the continuous model of log-infinitely divisible multifractal random measures (MRM) introduced in [1]. If M is a non degenerate multifractal measure with associated metric ρ(x, y) = M([x, y]) and structure function ζ , we show that we have the following relation between the (Euclidian) Hausdorff dimension dimH of a measurable set K and the Hausdorff dimension dimρH with respect to ρ...

We develop the multifractal analysis of conformal axiom A flows. This includes the study of the Hausdorff dimension of basic sets of the flow, the description of the dimension spectra for pointwise dimension and for Lyapunov exponents and the multifractal decomposition associated with these spectra. The main tool of study is the thermodynamic formalism for hyperbolic flows by Bowen and Ruelle. ...