Recognition of the “fractional” kinetics in complex systems: dielectric properties of fresh fruits and vegetables from 0.01 to 1.8 GHz
RR Nigmatullin, SO Nelson - Signal processing, 2006 - Elsevier
Based on the new theoretical approach and the self-consistent iteration procedure for
calculating the limiting values (ε (∞) and ε (0)) of the frequency-dependent permittivity, it …
calculating the limiting values (ε (∞) and ε (0)) of the frequency-dependent permittivity, it …
Stochastic dynamics of time correlation in complex systems with discrete time
In this paper we present the concept of description of random processes in complex systems
with discrete time. It involves the description of kinetics of discrete processes by means of …
with discrete time. It involves the description of kinetics of discrete processes by means of …
Possibility between earthquake and explosion seismogram differentiation by discrete stochastic non-Markov processes and local Hurst exponent analysis
The basic scientific point of this paper is to draw the attention of researchers to new
possibilities of differentiation of similar signals having different nature. One example of such …
possibilities of differentiation of similar signals having different nature. One example of such …
'Fractional'kinetic equations and 'universal'decoupling of a memory function in mesoscale region
RR Nigmatullin - Physica A: Statistical Mechanics and its Applications, 2006 - Elsevier
It is proved that kinetic equations containing non-integer integrals and derivatives appear in
the result of reduction of a set of micromotions to some averaged collective motion in the …
the result of reduction of a set of micromotions to some averaged collective motion in the …
Quantification of heart rate variability by discrete nonstationary non-Markov stochastic processes
We develop the statistical theory of discrete nonstationary non-Markov random processes in
complex systems. The objective of this paper is to find the chain of finite-difference non …
complex systems. The objective of this paper is to find the chain of finite-difference non …
Theory of dielectric relaxation in non-crystalline solids: from a set of micromotions to the averaged collective motion in the mesoscale region
RR Nigmatullin - Physica B: Condensed Matter, 2005 - Elsevier
Based on the rather general decoupling procedure that reduces a set of micromotions to the
averaged collective motion in the mesoscale region, a consistent and general theory of …
averaged collective motion in the mesoscale region, a consistent and general theory of …
The first experimental confirmation of the fractional kinetics containing the complex-power-law exponents: Dielectric measurements of polymerization reactions
For the first time we achieved incontestable evidence that the real process of dielectric
relaxation during the polymerization reaction of polyvinylpyrrolidone (PVP) is described in …
relaxation during the polymerization reaction of polyvinylpyrrolidone (PVP) is described in …
Dynamical Shannon entropy and information Tsallis entropy in complex systems
In this work, we offer a new approach to the concept of the information entropy for the
description of the dynamic behaviour of complex systems. On the basis of the unification of …
description of the dynamic behaviour of complex systems. On the basis of the unification of …
Relaxation time scales in collective dynamics of liquid alkali metals
In this paper the investigation of the dynamical processes of liquid alkali metals is executed
by analyzing the time scales of relaxation processes in liquids. The obtained theoretical …
by analyzing the time scales of relaxation processes in liquids. The obtained theoretical …
New evidence for the idea of timescale invariance of relaxation processes in simple liquids: the case of molten sodium
The idea of the timescale invariance of relaxation processes in liquids (Yulmetyev et al 2001
Phys. Rev. E 64 057101; 2002 JETP Lett. 76 147) is used to analyse the short-wave …
Phys. Rev. E 64 057101; 2002 JETP Lett. 76 147) is used to analyse the short-wave …