Alexander Trunev

Likalo LLC, Toronto, Canada · Metrics

An effective numerical scheme based on Euler wavelets is proposed for numerically solving a class of neutral delay differential equations. The technique explores the numerical solution via Euler wavelet truncated series generated by a set of functions and matrix inversion of some collocation points. Based on the operational matrix, the neutral dela...

In this article, we are mainly targeting a new numerical algorithm based on Euler wavelets for solving a system of partial differential equations (PDEs) represented a 3D nanofluid bio convection model near a stagnation point. The model expresses the conservation of momentum, microorganisms, thermal energy, nanoparticles and total mass via a set of...

Monograph presents informational models of socio-economic natural processes in their relationship the space environment. The theory is based on the hypothesis of the space-time similarity of phenomena and processes of the same nature. Methods are developed and algorithms for recognition of various events in geophysics, economics and sociology are p...

The monograph presents a version of the theory of similarity in sociology, called Astrosociotypology. The theory is based on the hypothesis of the spatially temporal similarity of phenomena and processes of one nature. Methods of typing and identifying the social status of respondents according to their astronomical indicators at the time of birth...

Monograph presents the theory of resonance seismic genesisthe author's method of automated system-claw-chow prediction of earthquakes. Physical models of mantle convection and information models of influence of planetary gravitational complexes on formation of seismic events are considered. An open scale interactive on-line intellectual environment...

On the basis of local semantic information of the models of California the dependence of parameters seismic activity on the position of the space objects has been investigated and the model of short-term earthquake prediction has been created. The formal criteria of astronomical parameters of high informative value in the preparation and implementa...

Monograph presents the theory of resonance seismic genesisthe author's methodology and method of automated system-cognitive prediction of earthquakes. Physical models of mantle convection and information models of the influence of planetary gravitational complexes on the formation of seismic events were considered. Detailed numerical examples of AS...

Dependence of the Earth seismic activity, magnetic field and polar motion on the sunspots number is examined on the basis of semantic information models

The article discusses the expansion of artificial intelligence "Aidos-Astra" for applications with the empirical data of high dimensionality. Application, written in the language JAVA, allows you to prepare and visualize the information content of the matrix without restrictions imposed by the architecture of the system "Aidos-Astra"

Dependence of the Earth polar motion on celestial bodies' positions is examined on the basis of semantic information models

Dependence of seismic activity parameters on celestial bodies' positions is examined on the basis of semantic information models

The new methods for system-cognitive analysis to identify and present graphical visualization of causal functions from the large dimension empirical data and its software tools - "EIDOS" system are discussed.

Artificial intelligence system “Aids-Astra” for scientific research of global geo-systems depending on astronomical parameters of Solar system celestial bodies is discussed

In this article we give a generalization of Hartley's model for the measure of information. We propose a rate of emergence, which is applicable to systems obeying classical or quantum statistics. Quantum systems that obey Fermi-Dirac statistics and Bose-Einstein condensate, as well as classical systems obeying the Maxwell-Boltzmann statistics have...

Dependence of seismic activity parameters on celestial bodies' positions and geographical and magnetic poles displacement is examined on the basis of semantic information models

We study the correlation between the stock index S&P 500 with the parameters of seismic activity, the position of celestial bodies and shifts the geographic and magnetic poles

Main scientific results, which were received in 2007 under creation and investigation of semantic infor-mation multi mode, providing as detection dependence between astro signs and accessory of respondents to generalized social categories as a use of knowledge of these dependences for identification of respondents by these categories are casted in...

Rogue waves are anomalous phenomena occurring over large sea bodies, where they are said appear out of nowhere and disappear without a trace. Simulations of rogue waves have been carried over the last 40 years, with several models published. In this paper we investigate the formation of rogue waves by two models: I. the Navier-Stokes equation where...

In this work, a new numerical method for the fractional diffusion-wave equation and nonlinear Fredholm and Volterra integro-differential equations is proposed. The method is based on Euler wavelet approximation and matrix inversion of an M×M collocation points. The proposed equations are presented based on Caputo fractional derivative where we redu...

Superfluid Helium4 has been known since the late 1960's to condense on the outside of its container when it reaches temperatures close to the absolute zero. Several models have been developed over the years to describe the dynamics of Helium, both thermodynamiacal models as well as non-equlibrium models. Here we introduce a new model of the behavio...

Wave-equation for modelling the cosmic web.

The term "quantum fractals" is here related to a symmetric sewing-pattern resulting for quantized wave-solutions for quasiparticles in a quantum void, subjected to an exponential decay of the vibrational component while maintaining a constant momentum. The phenomenon is modelled by a quantum diffusion equation which has similarities to the NLSE and...

Planetary magnetohydrodynamics is a central part of planetary sciences, where the magnetic field of the planet is studied in interaction with the Sun, solar storms and lunar cycles. In this paper, we study numerically the effects on the dynamics of electromagnetic vortices in the Northern hemisphere by the displacement of the magnetic North pole. U...

The well-known novel virus (COVID-19) is a new strain of coronavirus family, declared by the World Health Organization (WHO) as a dangerous epidemic. More than 3.5 million positive cases and 250 thousand deaths (up to May 5, 2020) caused by COVID-19 and has affected more than 280 countries over the world. Therefore studying the prediction of this v...

This paper is devoted to develop a new mathematical model for Alzheimer disease based on a system of fractional-order partial differential equations. The system of Alzheimer disease includes neurons, astrocytes, microglias and peripheral macrophages, as well as amyloid β aggregation and hyperphosphorylated tau proteins. We consider the Caputo fract...

One of the �rst theorists of seismology was Immanuel Kant, who, after the famous Lisbon earthquake that occurred on November 1, 1755, put forward a theory about the determining in uence of the tidal forces of the Sun and the Moon in the formation of earthquakes. The idea of the in uence of tidal forces on tectonic processes and earthquakes has been...

Quantum mechanical states are normally described by the Schrödinger equation, which generates real eigenvalues and quantizable solutions which form a basis for the estimation of quantum mechanical observables, such as momentum and kinetic energy. Studying transition in the realm of quantum physics and continuum physics is however more difficult and...

In this work, we propose a framelet method based on B-spline functions for solving nonlinear Volterra–Fredholm integro-differential equations and by involving Atangana–Baleanu fractional derivative, which can provide a reliable numerical approximation. The framelet systems are generated using the set of B-splines with high vanishing moments. We pro...

Riesz wavelets in L2(R) have been proven as a useful tool in the context of both pure and numerical analysis in many applications, due to their well prevailing and recognized theory and its natural properties such as sparsity and stability which lead to a well-conditioned scheme. In this paper, an effective and accurate technique based on Riesz wav...

This paper is devoted to shedding some light on the advantages of using tight frame systems for solving some types of fractional Volterra integral equations (FVIEs) involved by the Caputo fractional order derivative. A tight frame or simply framelet, is a generalization of an orthonormal basis. A lot of applications are modeled by non-negative func...

In this paper, we present a novel fractional order COVID-19 mathematical model by involving fractional order with specific parameters. The new fractional model is based on the well-known Atangana-Baleanu fractional derivative with non-singular kernel. The proposed system is developed using eight fractional-order nonlinear differential equations. Th...

A dropleton, or quantum droplet made of bosonic particles interacting via the long range dipole-dipole interaction is a collective state found in rare-earth metal gases. The properties of dropleton are particularly interesting, as droplets composed of a higher number of atoms with large enough magnetic moment may assume a supersymmetric ground stat...

Superconductors are principal components used in resonance imaging (MRI) and nuclear magnetic resonance (NMR) machines, tokamaks reactors, in particle accelerators and in other components in advanced technologies. Electromagnetic vorticity plays a significant role in superconductivity, as it allows for the generation of holes which permit electrons...

Simulations of galactic vorticity require the development of complex systems of equations to generate models that account for the gravity, mass, kinetic, and electromagnetic effects which govern cluster behaviour. In this study, a relationship is outlined through a series of steps, between the Einstein equations, the Ricci equations and the gravita...

The monograph presents the theory of resonant seismogenesis and the author's methodology and methodology for automated system-cognitive earthquake forecasting. Physical models of mantle convection and information models of the influence of planetary gravity complexes on the formation of seismic events are considered. Detailed numerical examples of...

Modern seismology is based on the theory of the closed system of the planet Earth and the endogenous origin of seismic processes. The authors came to the conclusion that the Earth system is open to cosmic influence, and seismogenesis on Earth mainly depends on the influence of exogenous factors, confirming these positions with long-term and multipl...

Fundamental physical phenomena, such as gravity, electromagnetism and light have been studied over the last centuries for their properties, mechanics and for their relationships to one-another. Bernoulli proposed in 1736 a vortex-sponge theory to describe light in mechanical terms which was later postulated by using Maxwell's vortex equations. In t...

The object of research is the planet Earth in the space environment. The subject of the study is the influence of the space environment on seismic activity on Earth. Traditionally, it is believed that the seismic activity of the Earth is completely determined by internal factors, and the space environment does not have any influence on it. Hypothe...

Vortices and quasiparticles have been studied for 2D systems over the last decades in relation to the development of technologies in quantum electromagnetics, optics, and quantum computation. Deriving new equations for quasiparticles in quantum systems is therefore a critical part in quantum physics. Recently, a supersymmetric wave equation has bee...

The method of system-cognitive prediction of seismicity in the environment of open scalable interactive intellectual on-line environment for training and scientific research on the basis of Automated system-cognitive analysis (ask-analysis) and its software tools of intellectual system "Eidos"is presented. This technique is a practical application...

Resonant seismogenic and systemic-cognitive prediction of seismicity The problem of predicting the place and the time of origin of the natural disasters and large earthquakes on the Earth is global for the whole world and can contribute to the preservation of many lives. The authors of the monograph present the theory of resonant seismogenesis and...

Planetary atmospheric dynamics is a critical part of astrophysics, which aids in understanding the fluctuations in the atmosphere on other planets as well as planet Earth. Saturn has been known to display a peculiar behaviour on its North Pole, forming a hexagonal geometry in the atmosphere, driven by high-speed winds. Several models have been publ...

The cognitive simulation of AstroDatabank records by using the Artificial Intelligence System – AIDOS is reviewed in this paper. The technology of simulation is described and the mostly important results are discussed.

In the article the method and the results of investigating the information properties of the celestial bodies of the solar system are described. Is proposed the new for contemporary astronomy tool of knowledge, which includes intellectual information technology and the multichannel receiver distributed in the space and time, as which were used 2000...

1 /on the basis of the artificial intelligence system "Eidos-Astra"/ 2 / recognition of 37 representative social categories of 20007 respondents with a total number of cases 86314 was performed. Astronomical parameters of longitude and angular position relative to the horizon plane of ten celestial bodies-the Sun, moon, mercury, Venus, Mars, Jupite...

We study the correlation between the stock index S & P 500 with the parameters of seismic activity, the position of celestial bodies and shifts the geographic and magnetic poles

The article describes a large-scale experiment on the application of a new method of artificial intelligence – automated system-cognitive analysis (ASC-analysis) to identify the dependencies between astropriznaks and generalized categories (based on the study of a sample of 20007 respondents) by typing (generalization), as well as the use of knowle...

Vortices and quasiparticles in 2D systems are studied for the last decades in relation to the development of technologies in quantum electromagnetics, optics, and quantum computation. Hamiltonians are a fundamental part for studying quasiparticles and vortices, and provide models to calculate the eigenvalues and eigenfunctions that describe a real...

The work discusses various examples of physical systems which state is determined by the logarithmic law - quantum and classical statistical systems and relativistic motion in multidimensional spaces. It was established that the Fermi-Dirac statistics and Bose- Einstein-Maxwell-Boltzmann distribution could be described by a single equation, which f...

The program is designed for the synthesis of multimodels and identification of the social status of respondents by astronomical indicators at the time of their birth and is used for the same purposes as the standard tests, providing the following functions: generation of source databases based on the time and coordinates of the birth of respondents...

Based on local semantic information models, the dependence of the dynamics of the displacement of the pole positions of celestial objects. Developed and differentiated analysis of ASK-pole modeling of dynamics within six years cycles of reference points. Substantiated reasons for the population inversion and singular states in the dynamics of the p...

The work discusses various examples of physical systems which state is determined by the logarithmic law - quantum and classical statistical systems and relativistic motion in multidimensional spaces. It was established that the Fermi-Dirac statistics and Bose- Einstein-Maxwell-Boltzmann distribution could be described by a single equation, which f...

In this article we give a generalization of Hartley's model for the measure of information. We propose a rate of emergence, which is applicable to systems obeying classical or quantum statistics. Quantum systems that obey Fermi-Dirac statistics and Bose- Einstein condensate, as well as classical systems obeying the Maxwell-Boltzmann statistics have...

The article discusses the expansion of artificial intelligence "Aidos-Astra" for applications with the empirical data of high dimensionality. Application, written in the language JAVA, allows you to prepare and visualize the information content of the matrix without restrictions imposed by the architecture of the system "Aidos-Astra "

The new methods for system-cognitive analysis to identify and present graphical visualization of causal functions from the large dimension empirical data and its software tools - «EIDOS» system are discussed.

We study the correlation between the stock index S & P 500 with the parameters of seismic activity, the position of celestial bodies and shifts the geographic and magnetic poles

Main scientific results, which were received in 2007 under creation and investigation of semantic information multi mode, providing as detection of dependence between astro signs and accessory of respondents to generalized social categories as a use of knowledge of these dependences for identification of respondents by these categories are casted i...

The article describes a large-scale experiment on the application of a new method of artificial intelligence – automated system-cognitive analysis (ASC-analysis) to identify the dependencies between astropriznaks and generalized categories (based on the study of a sample of 20007 respondents) by typing (generalization), as well as the use of knowle...

Trunev A. P., Lutsenko E. V. L 86 Automated system-cognitive analysis of the influence of factors of the space environment on the noosphere, magnetosphere and lithosphere of the Earth: under scientific. edited by doctor of technical Sciences, Professor V. I. Loyko. Monograph (scientific publication). – Krasnodar, Kuban State Agrarian University. 20...

Trunev A. P., Lutsenko E. V. L 86 Astrosociotypology: Monograph (scientific publication). – Krasnodar: Kubsau, 2008, – p. 279 EAN 97857561080009 The monograph presents a version of the theory of similarity in sociology, called "Astrosociotypology". The theory is based on the hypothesis of spatio-temporal similarity of phenomena and processes of t...

Macrophysical phenomena, such as turbulence, vorticity are normally modelled using fluid-mechanical differential equations and geodesics systems. Other methods may also be of importance to the meteorology community, such as quantum physical operators. In this study we use a novel Hamiltonian and study the vortex formation in the atmosphere of plane...

Vortexes in superfluids are a critical part of quantum optics, quantum dynamics studies and quantum physics in general. The behavior of vortexes is modeled by models such as the Ginzburg-Landau formula, and other systems, where symmetry-breaking is an inevitable event upon vortex formation. In this paper, we present and study a supersymmetric Hamil...

Bose-einstein condensates have received wide attention in the last decades given their unique properties. In this study, we apply supersymmetry rules on an existing Hamiltonian and derive a new model which represents an inverse scattering problem with similarities to the circuit and the harmonic oscillator equations. The new Hamiltonian is analysed...

Vortexes in three dimensional systems are an emerging topic of study in the realm of quantum physics, particle physics and magnetism. In this study we describe a new Hamiltonian, and solve it numerically for the description of vortices in a spherical model subjected to an electromagnetic field. The numerical analysis shows also that supersymmetric...

Tourism and Environmental Degradation in Sochi, Russia

Quantum Hall effect

On the basis of the solutions of Einstein we have proposed universal metric describing the properties of an inhomogeneous rotating universe. It is shown that in the case of space-time metric of negative curvature, the field equations are hyperbolic, parabolic or elliptic type, depending on the equation of state. An equation for the general state of...

Shock-wave processes in two-phase media - simulation models and results

In this work, we consider two types of vortex currents-cyclones and anticyclones in the Northern and Southern Hemispheres. Numerical modeling of turbulent flows of these types uses the model of the planetary boundary layer developed by the author. The purpose of the study is to test hypotheses about the influence of the Coriolis force on the format...