# Gleb VodincharInstitute of Cosmophysical Research and Radio Wave Propagation FEB RAS · Laboratory of Physical Processes Modeling

Gleb Vodinchar

PhD

## About

46

Publications

708

Reads

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58

Citations

Citations since 2016

Introduction

**Skills and Expertise**

Additional affiliations

November 2018 - present

March 2005 - February 2022

**Institute of Cosmophysical Research and Radio Wave Propagation FEB RAS**

Position

- Head of Lab

June 2003 - June 2018

**Kamchatka State University**

Position

- Professor (Assistant)

## Publications

Publications (46)

We study some fractal properties of the hereditary αω-dynamo model in the two-mode approximation. The phase variables of the model describe the temporal dynamics of the toroidal and poloidal components of the magnetic field. The hereditary operator of the quenching the α-effect by field helicity in numerical simulation is determined using the Riema...

Complex methods and results of studies of physical processes and their interactions in the system of near space and geospheres under conditions of increased variability of solar, cyclonic and seismic activity are presented. The results of long-term observations are summed up. Methods of system analysis have been developed. Models of nonlinear and r...

The problem of toroidal eigenmodes of free oscillations of a viscous fluid spherical shell is solved under mixed boundary conditions. These conditions are a combination of free surface conditions and solid boundary conditions. Such an artificial combination is used sometimes in the numerical simulation of geodynamo problem. The scheme for calculati...

The paper describes a technology for the automated compilation of equations for shell models of turbulence in the computer algebra system Maple. A general form of equations for the coefficients of nonlinear interactions is given, which will ensure that the required combination of quadratic invariants and power-law solutions is fulfilled in the mode...

Cosmic magnetic fields possess complex time dynamics. They are characterized by abrupt polarity changes (reversals), fluctuations of fixed polarity, bursts and attenuations. These dynamic conditions can replace each other, including both regular and chaotic components. Memory in dynamo systems manifests itself in a feedback mechanism when a strong...

The paper describes the developed by authors technique for construct-ing complex shell models of turbulence. The compilation of the equa-tions of this model and its exactly solution are implemented using by computer algebra system. The technique allows one to vary the sizes of nonlocality of nonlinear interaction in the space of scales, expressions...

The hereditary two-mode model of the aw-dynamo proposed earlier by the author is studied from the point of view of the theory of oscillators. It is shown that this approach allows one to perform a qualitative analysis of the model’s behavior and predict possible dynamic regimes without numerical simulation. Examples of comparison of the results of...

The low-moded stochastic model of kinematic geodynamo is studied. The model is based on the indirect data about the large-scale structure of convection. The intensities of large-scale and turbulent field generators are affected by pulsed multiplicative noises. These random pulses are interpreted as the formation and destruction of coherent structur...

The technique for automatic constructing of shell models of turbulence has been developed. The compilation of a model equations and its exactly solution is implemented using computer algebra (symbolic calculation) systems. The technique allows one to vary the scaling nonlocality of nonlinear interaction, form of expressions for conservation laws in...

The method for calculating the eigenmodes of free damped oscillations of the geomagnetic field in the Earth’s core using symbolic computations is described.

The one of the known applications of the classical Lorenz system is an axisymmetric αω -dynamo with a dynamical quenching of the α -effect by the helicity. In this paper we consider generalizations of the Lorentz system, which are the models of α ² - and α ² ω -dynamo. The cases of finite and infinite memory in the quenching functional are consider...

The compilation of spectral models of geophysical fluid dynamics and hydromagnetic dynamo involves the calculation of a large number of volume integrals from complex combinations of basis fields. In this paper we describe the automation of this computation with the help of systems of symbolic computations.

We consider solutions of Mathematical Olympiad «Vitus Bering – 2016» for high school students. It was held at Kamchatka State University in April 2016.

We describe a large-scale Geodynamo model based on indirect data of inhomogeneities in the density of the Earth's core. The convection pattern is associated with a spherical harmonic Y-4(2) which defines the basic poloidal component of velocity. Coriolis drift of this mode determines the toroidal component of velocity. Thus, six convective cells ar...

We describe a large-scale geodynamo model based on hypothesis about 6-jet convection in the Earth’s core. This hypothesis suggests indirect data of inhomogeneities in the density of the Earth’s core. The convection pattern is associated with a spherical harmonic Y24 which defines the basic poloidal component of velocity. The model takes into accoun...

The whistlers pattern recognition algorithm in the spectrogram of VLF-radiation and algorithm of the filtering of pulse signals in the spectrograms are proposed.

One approximation of magnetohydrodynamics equations, which describe the cosmic object’s magnetic field, is considered. The analytic properties of a nonlinear system are investigated by Painleve? test. Values of the coefficients in a simplified magnetohydrodynamics system are calculated for the necessary condition of Painleve? property.

We describe the large-scale model geodynamo, which based on indirect data of inhomogeneities in the density of the Earth’s core. Convection structure is associated with spherical harmonic Y42, which defines the basic poloidal component of velocity. Coriolis drift of this mode determines the toroidal component of velocity. Thus, 6 convective cells a...

We consider solutions of Mathematical Olympiad «Vitus Bering – 2015» for high school students. It was held at Kamchatka State University in November 2015.

Inversion of the magnetic field in a model of large-scale
αΩ-dynamo with α-effect with stochastic memory is under
investigation. The model allows us to reproduce the main features of the
geomagnetic field reversals. It was established that the polarity intervals
in the model are distributed according to the power law. Model magnetic
polarity timesc...

In the paper investigates the question of the possibility of a reversal in the framework of low-mode model, ?? -dinamo. The parameters of the MHD system in which the possible reversal of the magnetic field in the relative constancy of the velocity field are defined. There are results of numerical solution of the assumption of various type of ? -eff...

Data on March 2013 were used to Verify the theory of whistler propagation along a magnetic field tube, from which the recorded whistlers are expected to be associated with lightning discharges in Kamchatka and in magnetically conjugate point in Australia. When comparing the whistler rates recorded at AWDANet station in Kamchatka with lightning disc...

Inversion of the magnetic field in a large-scale model of
αΩ-dynamo with nonlocal α-effect is under the
investigation. The model allows us to reproduce the main features of
the geomagnetic field reversals. It was established that the polarity
intervals in the model are distributed according to the power
law. Model magnetic polarity time scale is fr...

The paper investigates possible sources of Kamchatka whistlers in March and September 2013. Applying the data from WWLLN and AWDANet worldwide networks, it is shown that statistically significant sources may be located in the global lightning centers.

In this paper we investigate the question of the possibility of inversions within the low-mode dynamo model. The conditions under which the possibility of more frequent reversal of the magnetic field in comparison with inversions in the velocity field of a viscous conducting magnetized fluid.

In this paper we investigate the question of the possibility of inversions within the low-mode dynamo model. The conditions under which the possibility of more frequent reversal of the magnetic field in comparison with inversions in the velocity field of a viscous conducting magnetized fluid.

We study the possible sources of Kamchatka whistlers in March and September 2013. Using these global networks WWLLN and AWDANet and methods of correlation anaziz shown that statistically significant sources are located in the global thunderstorm activity.

The sttatistical relationship between whistlers in Kamchatka and thunderstorm activity was studied. Possibility of impact HAARP on stream of whistlers analyzed.

Considered a model of large-scale magneto-convection in a roteting spherical shell. Velocity expressed of the one of the modes of free oscillation of a viscous conduction fluid in the shell. The stationary modes of convection were found. An ability of the dynamo was approved in this model.

The properties of the algorithm estimates of parameter of harmonic intensity for nonstationary Poisson process. The computational stability of the algorithm is proved

Доказывается ортогональность собственных полей спектральной задачи rot4S+?rotS =
0 в пространстве полоидальных полей в сферической оболочке

The means of high precision calculation are considered, their comparative analysis is fulfilled, application of the most efficient of them for the geodynamo task is regardered.

The system of own solenoidal fields of operator Laplace which can be used for decomposition of a geomagnetic field in a kernel of the Earth is described. Boundary conditions provide continuous transition of a field in a referential geomagnetic field