Solar activity is studied using a cluster analysis of the time-fluctuations of the sunspot number. It is shown that in an Historic period the high activity components of the solar cycles exhibit strong clustering, whereas in a Modern period (last seven solar cycles: 1933–2007) they exhibit a...

The contradiction between observed fractal structure of the large-scale universe and the high-order uniformity of the cosmic microwave background (CMB) radiation could be resolved using the Bak–Paczuski cosmological scenario assuming strong turbulent intermittency of the primordial plasma at...

Using data obtained in a laboratory thermal convection experiment at high Rayleigh numbers, it is shown that the multiscaling properties of the observed mean wind reversals are quantitatively consistent with analogous multiscaling properties of the Bak–Tang–Wiesenfeld prototype model of...

Using multiscaling analysis of the recent data on the X-ray solar flares obtained by the satellite observatory (The Reuven Ramaty High-Energy Solar Spectroscopic Imager,) (NASA), it is shown that the flares phenomenon belongs to the “critical fragmentation” class of universality (Phys. Rev....

It is shown that a natural self-averaging phenomenon can transform the initially (on a microscopic level) lognormal distribution into bi-lognormal one. Comparison with Hong Kong stock market (Hang Seng index) is used to show that this mechanism is working for different time lags and, therefore,...

A combination of spectral and moments analysis of the continuous X-ray flux data is used to show consistency of statistical properties of the powerful solar flares with 2D BTW prototype model of self-organized criticality. Copyright Springer-Verlag Berlin/Heidelberg 2003

Using a model of analytic branching cascades on fractal clusters it is shown that US Treasury securities returns fluctuations exhibit three types of stochastic behaviors: (a) quasi-Brownian type for a very small cluster consisting of just a single bond; (b) lognormal type for a medium-size very...

Scaling diffusion 〈r2(t)〉∼tα is usually observed only as an asymptotic for large or for small times t. Using a toy model it is shown that for intermediate times (when the scaling relationship 〈r2(t)〉∼tα does not take place) the generalized scaling 〈rp(t)〉∼〈r(t)〉χ(p) can...

Multifractal critical phenomena with infinite-temperature critical point and with complex coexistence of the infinite and finite temperature critical points are considered and it is shown that strange attractors generated by cascades of period-doubling bifurcations (Feigenbaum scenario) as well...

It is shown, using data of laboratory and numerical simulations obtained by different authors, that for generalized scaling Fq∼Fpτ(q)/τ(p) (where Fq is a moment of qth order) the index-function τ(q) can be represented by the ‘critical’ form τ(q)∼(q−qc)γ for a wide class of...