The Complex systems no. 4 (17) 2015

Basic researches
SCALING OF CITIES
Yevin I.A., Stanislavskaya E.N. , Stanslavsky I.A., Solovyev A.A.      
Abstract.  An overview of the foreign publications and the first results on the scaling of the fundamental feature of human evolution – the process of urbanization for cities in Russia are presented.  It is shown that superlinear, linear, and sublinear power law dependences revealed recently for cities in USA, Europe and China takes place for cities in Russia too.
Keywords: urbanization, urban population, power law dependence

New ideas, approaches
ESTIMATE OF THE UNPERTURBED ETHER DENSITY
Bychkov V.L. , Zaitsev F.S., Magnitskii N.A.
Abstract. Estimate of the unperturbed ether density is obtained on the basis of the mathematical theory of ether and known experimental data. Presentation of the ether density in electromagnetic and mechanical units is considered. The universal way for converting formulae, which use different units for the ether density, is proposed. The presented results open possibility for quantitative study of processes in ether on the atomic characteristic times and scales and on the macro-level ones, create the basis for modeling of fundamentally new technical devices.
Keywords: complex dynamic systems, ether, ether density, units of measurement.
CONCLUSION SCHRÖDINGER'S EQUATION FOR MICROSCOPIC AND       MACROSCOPIC SYSTEMS
Batanov M.S.
Abstract: The based provisions of quantum mechanics (such as "matter waves" of de Broil, "principle of uncertainty" of Heisenberg, lack of the sizes and a trajectory of the movement at elementary particles, and also emergence history Schrödinger's equation), are still not rather logical. Interest in sources of quantum mechanics is caused still by that the advanced boundaries of science in the field of studying of the structural organization of a matter - the string theories which are based on quantum mechanics are in difficulties almost irresistible (in my opinion). It forces to return to reconsideration of fundamentals of quantum physics.
In underwritten article the model of chaotically wandering material particle (possessing the size and a trajectory of the movement) on the basis of which it was succeeded to remove the generalized Schrödinger's equation is offered and conditions and borders of its application without attraction of idea about existence of "matter waves" of de Broil and "the principle of uncertainty" of Heisenberg are revealed. 
Keywords: Schrödinger's equation, electron, density of distribution of probability of a derivative, coordinate representation.

Experiments, opening, practice
THE GENERALIZED MAXWELL-LORENTZ EQUATIONS AS A CONSEQUENCE OF THE ETHER EQUATIONS
Bychkov V.L., Zaitsev F.S., Magnitskii N.A.,
Abstract. The basic ether equations, describing ether dynamics on the characteristic times and scales of the order of the atomic ones, are compared with macro-level ether equations, proposed for description of the phenomena on much larger scales. The analysis of the differences between the ether equations and the classical equations of continuum mechanics, including the equations of gas and hydrodynamics, is given. The system, generalizing Maxwell-Lorentz equations, is derived from the ether equations. Presented results provide a new mathematical tool for detailed study of the micro and macro-level phenomena, open up possibility of designing fundamentally new technical devices for the production and storage of energy, information processing and controlling gravity.
Keywords: partial differential equations, complex dynamic systems, ether, generalized Maxwell-Lorentz equations.

Debatable aspects
THE GEOMETRIZED PHYSICS OF VACUUM - THE BASIS FOR DEVELOPMENT
THE ADVANCING TECHNOLOGIES
Batanov M.S.
Abstract: Studying of structure of vacuum can cause permission of many theoretical problems of modern science and lead to development vacuum "0" - technologies which can change shape of a human civilization.
Keywords: vacuum, vacuum condensate, vacuum technologies, algebra of signatures, the geometrized physics.

The Complex systems no. 3 (16) 2015

Basic researches
DISCRETE STOCHASTICALLY DETERMINISTIC MATHEMATICAL
MODEL OF IDEAL FLUID
Plokhotnikov K.E.
Abstract. At work, we construct a discrete mathematical model of motion of a perfect fluid. Stochastic and deterministic components in the description of fluid motion are separated. The fluid is represented as an ensemble of the same so-called liquid particles, which are in the form of extended geometry: circles and spheres for two-dimensional and three-dimensional cases, respectively. Formulated the mechanism of interaction between the liquid particles on a binary level and on the level of the n-cluster. The results of computational experiment to simulate various kinds of flows in two-dimensional and three-dimensional ensembles of liquid particles.
Keywords: a discrete model, liquid particle, perfect fluids, branch point, turbulence, interaction in the cluster, the laws of conservation, stochastic and deterministic components of the flow

New ideas, approaches
ABOUT THE SIGNS AND INFORMATION
Sanochkin V.V.
Abstract. The article attempts a critical review of the concept of sign, as well as the relationship between sign and information to overcome the subjectivity of the functional approach. The hypothesis of the development from natural signs to artificial signs is offered. On the basis of the concept "Information-structure" it is shown the immutability of the essence of information in natural and symbolic systems. A message transfers information in the form of relations between signs, but the signs actualize the information that is already contained in the receiving subject and necessary for the perception of the message. On the basis of these submissions is proposed visual model of the formation and propagation of internal mental structures of the subject with the help of sign messages. It is shown that the agreement between the attributive and functional approaches to information is possible.
Keywords: message, sign, information, structure, relation.
REGIMS WITH BLOWUP AND LOCALIZATION
HOT PLASMA DURING SOLAR FLARES
Kovalev V.A.
Abstract. The nature of the observed localization of hot plasma in the form of small-scale structures associated with magnetic constrictions of the tube, caused by instability in the flow of electric current or with the passage of the shock front. Due to the Fermi mechanism in the early phase of the outbreak is an acceleration of charged particles in the fast regime, which defines two stages of gasdynamic response of the solar chromosphere.
Key words: magnetic tube, banners, magnetic trap, the plasma energetice, regime with blowup, the fill factor, gasdynamic response.
DYNAMICS RELATIONSHIP OF ICE CATASTROPHE IN ANTARCTIC AND ARCTIC WITH ATMOSPHERIC CIRCULATION OF SOUTHERN AND NORTHERN HEMISPHERES
Mavlyudov B.R.,  Kononova N.K., Zakharov V.G.
Abstract. Data on the fast motions of sea ice off the coasts of Spitsbergen in the summer seasons of 2004, 2011 and circulation mechanisms that caused these phenomena are set out in [7, 8, 9]. Such events were observed in the Antarctic on about. King George Island (South Shetland Islands) in April 2012 [17].
An analysis of the chronology of these events was held on the basis of data on the contingency of atmospheric circulation of the Northern and Southern Hemispheres [3, 6, 11, 13-15] and the calendar of sequential change of the elementary circulation mechanisms (ECM) from 1899 to 2012. It is possible to reveal the dynamics of the ice processes occurring in the Arctic at the same time, identify areas of their most significant manifestations and to assess the extent of sea ice changes arrays.
Keywords: Antarctica, Arctic, surges, sea ice, atmospheric circulation, elementary
circulation mechanisms (ECM), contingency

The Complex systems no. 2 (15) 2015

Basic researches
SELF-ORGANIZATION OF FATIGUE CRACKING PROCESSES FOR TITANIUM ALLOYS
Shanyavakiy A.A., Nikitin A.D., Soldatenkova M.A.
Abstract. Mechanisms of titanium alloys fatigue cracking have realization on the three scale levels were analyzed based on synergetical approach. It was shown that for two-phase titanium alloys self-organized processes of damages accumulation have localization in  - phase and on the boundary of structural elements characterized material behavior on meso- and macro scale level. Cracks origination subsurface takes place after material transition in ultra-high plasticity state in a local volume in which diffused rest gases that prevented interaction effect between atoms.  Causes of bifurcation transition in material behavior from one to another scale level have been discussed. Bimodal distribution of fatigue durability on the meso scale level has been considered applicably to titanium alloy VT9. Based on bifurcation fatigue diagram fatigue durability increasing way was considered applicably to macroscopic scale level related to low cycle fatigue regime. 
Keywords:titanium alloys, bifurcation diagram,scale levels, fatigue, bimodal distribution, fracture mechanisms, synergetics
GEOINTEGRALOGY AND PERSPECTIVE INTERACTION OF PEDOLOGY, AGROLOGY, HYGIENOLOGY AND GEOSOPHY
Nikitin E.D.
Abstract. The problem of activisation of interdisciplinary interaction of fundamental and applied sciences in connection with reforming of Russian Academy of Sciences and joining of Agricultural and Medical Academies with it is considered. Urgency of geointegralogy in intensification of contacts between pedology, agrology, hygienology, geosophy and with fundamental earth sciences (geology, geography etc.) is proved.
Keywords: geointegralogy, pedology, agrology, biosphere, earth sciences, protection of nature
LEFT-RIGHT ASYMMETRY OF WOMEN BRAINS HIPPOCAMPUS
Bogolepova I.N., Sveshnikov A.V., Lovchitskaya A.O.
Abstract. The aim of this research was to study the peculiarities of structure organization of hippocampus of women brain. The study of pyramidal cells of the СА1 area has shown that the average size of these cells is bigger in a left hemisphere of the brain than in the right hemisphere. Also the great difference was revealed of the number of the pyramidal neurons in hippocampus  of women brain in area СА1. The width of stratum oriens is bigger in left hemisphere in comparison with right hemisphere. Neuroglial relationships have also shown the appearance of left-right asymmetry. These facts of left-right asymmetry of area СА1 of hippocampus of women brain could be correlated with the peculiarities of cognitive activity and memory of women.
Keywords: cytoarchitecture, women brain, left-right asymmetry, area СА1 of hippocampus.

New ideas, approaches
TRENDS OF THE SEA SURFACE TEMPERATURE AND THEIR CAUSES
Fedorov V.M.
Abstract. The relationship has been identified between the incoming solar radiation and anomalies of the sea surface temperature (SST) for the Earth and hemispheres at the present time. The enhancing effect of the inter-latitude heat transfer in the ocean surface layer was found. This is related to the decreasing of incoming solar radiation in Polar and the increasing in the Equatorial regions of the Earth. The enhancing effect of the inter-latitude heat transfer associated with secular variations of the Earth`s axis inclination.
Keywords: solar radiation, oceans, sea surface temperature, inter-latitude heat transfer, greenhouse effect.

Experiments, opening, practice
WORKS OF ART AS MULTILAYER NETWOTKS
Yevin I.A., Koblyakov A.A, Khabibullin T.F.
Abstract. On the examples of poetry, literature and music are shown that the interactions between the elements of these complex systems have a different nature and for this reason, in their study is necessary to use the methods and approaches of the theory of multilayer networks. We present examples of individual layers of multilayer networks in poetry, prose and music. In conclusion, we discuss the feasibility to study of entropy both a separate networks layers and multilayer networks as a whole.
Keywords: semantic networks, melody networks, chord networks, entropy of network

Debatable aspects
CONTROL OF THE POWER release IN THE LOW-ENERGY NUCLEAR REACTIONS
Zaitsev F.S. ,  Magnitskii N.A.
Abstract. The new mathematical results are presented, which open a possibility of solving the wide class of microcosm problems at the scales of the atom distances and times. The new approach allows detailed quantitative study of the nuclear reactions dynamics and control this processes with the aim to increase the power of energy release. The analysis of the fundamentals of the mathematical theory of physical vacuum (ether) is given, based on a comparison with the Newton’s second law and classical equations of continuum mechanics. The mathematical problems are formulated, describing the dynamics of the hydrogen mesoatom formation from proton and muon. The problem of controlling this process is considered. A brief description of the algorithm for numerical solution of the problem of the ether dynamics is given and its application is illustrated.
Keywords: equations in partial derivatives, mathematical models, complex dynamic systems, control, numerical modeling, physical vacuum (ether).
A POSSIBLE EXPLANATION FOR THE RESULTS OF SOME EXPERIMENTS WITH LENR
Magnitskii N.A.
Abstract. This paper gives an explanation of the experimental results carried out in the LLC "New Inflow" with low-energy nuclear reactions (LENR), accompanied by the transmutation of chemical elements with the release of additional heat. The explanation is based on the ether theory of elementary particles, developed in recent years in LLC "New Inflow."
Keywords: LENR, ether, electron, proton, neutron, hydrogen atom.

The Complex systems no. 1 (14) 2015

Basic researches
GEOMORPHOLOGICAL AND LITHODYNAMICAL CONDITIONS STABILITY AND GEOSYSTEMS FUNCTIONING OF THE OCEANS COASTAL ZONE
Safyanov G.A.
Abstract. In cooperation with the coastal environment of the oceans person acts as the top consumer and metabolic against the company with the production sphere acts as a powerful source of energy and a variety of substances, including highly toxic. In connection with strengthening in recent decades, the impact of society on the coastal environment, the analysis of the effects of exposure becomes insufficient approach that includes only the physical parameters of the coastal zone of the ocean, there is a need geoecological (systemic) approach to the coast. Established a significant correlation between number of species of macrofauna, as well as their diversity, on the one hand, and the composition of sediments and the slope of the beach on the other. Found a close relation between yield of fish with the amount of fresh water inflow to the lagoons and estuaries. Bioproduction value of bottom topography in relation to the harvest of fish statistically defined for all depths, starting from the middle depths of the oceans that separate relatively closed seas, to estuaries, lagoons and tambaqui. It has been shown experimentally not trivial role geomorphological conditions in bacterial processes. The theoretical basis for anthropogenic changes in the sea coastal zone is currently serving as the idea of dependence balance of sediment within the ratio of the intensity of their income and losses, that is, from a purely physical phenomena that seems inadequate. The only way to avoid significant and inefficient spending is the transition to the revolutionary new concept of human activity on the banks, the principal basis of which should be relevant to the coastal zone of the ocean as to the field of multi-purpose use, and the focus should be geosystem of the coastal zone of the ocean, organized in the interests of maximizing the use of energy derived from many sources. It is the interests of the natural system, rather than narrowly conceived "human interests" should be put in the basis of the new concept of human interaction with the coastal environment of the ocean.
Keywords: topography, geomorphology, lithodynamic, geosystem of the coastal zone of the ocean, coastal environment.
EVOLUTION AND THE CHARACTERISTIC PROPERTIES OF ATTRACTORS IN THE THREE-MODE APPROXIMATION FOR THE KURAMOTO — TSUZUKI EQUATION
Malinetskii G.G., Faller D.S.
Abstract. A dynamic system resulting from applying the Galerkin’s method to the second boundary value problem for the Kuramoto — Tsuzuki equation (time-dependent generalized Ginzburg — Landau equation) is considered. A general reduction scheme to the initial value problem for a system of ordinary differential equations is proposed; a detailed study of the latter in the case of three terms in the approximate solution is presented. Scenarios of a chaotic attractor’s birth due to the changing of system’s parameters in a 6-dimensional phase space are described. Some unusual scenarios for the emergence of chaos and complexification of strange attractors are observed.
Keywords: dynamic chaos, Kuramoto — Tsuzuki equation, three-mode system, strange attractors, Lyapunov exponents, computational experiment, scenarios of chaos.
THE DOCTRINE OF THE SOIL ECOFUNCTIONS AND GEOSPHERES, GEOINTEGRALOGY
Nikitin E. D.
Abstract. Тhe main point of the doctrine of ecological functions of soils and goespheres elaborated in Lomonosov State university and Russian Academy of Sciences is considered. Its significance for interdisciplinary knowledge and for activization of interaction of natural science and the humanities is shown. Necessity of geointegralogy`s development that unites geology, geography, pedology, geoeconomy etc. is based.
Keywords: pedology, ecology, geointegralogy, ecologial functions of soils and goespheres, protection of nature.

New ideas, approaches
LATITUDINAL COMPLIANCE IN THE DISTRIBUTION OF THE INCOMING SOLAR RADIATION AND GENERAL CIRCULATION OF THE ATMOSPHERE.Fedorov V. M.
Abstract. We indentified spatial conformities in latitudinal localization of distribution
features of incoming solar radiation upon the upper bound of the atmosphere and peculiarities of general atmospheric circulation: average positions of the equatorial depression, subtropical zones of high pressure and subpolar zones of low pressure, polar fronts, temperate and tropical air masses. Reasons of discovered latitudinal correspondences are determined by the peculiarities in the distribution of incoming solar radiation connected with the shape of the Earth, of rotation the axial tilt and disturbedorbital motion.
Keywords: general circulation of atmosphere, solar radiation, equatorial depression, polar fronts, areas of high and low pressure, geographical conformities.

Experiments, opening, practice
QUANTUM SUBPOISSONIAN LIGHT FOR SUPERRESOLUTION IN THE PROBLEM OF IMAGE RECONSTRUCTION BY THE METHOD OF THE REDUCTION OF MEASUREMENTS. Belinsky A. V., Tarasova T. M.
Abstract. Investigated the efficiency of using light with suppressed by quantum fluctuations in a computer-based image processing. Built the scheme of measurements with superresolution. The mathematical model describing the scheme of measurements, and solved the problem by restoring the image. Tested the algorithm for image interpretation. Studies have shown the efficacy of applying subassemblage light for imaging in order to obtain superresolution.
Keywords: quantum measurement, quantum optics, measuring devices, reduction of measurements, limit of accuracy, squeezed states of light, quantum imaging, suppressed photon fluctuations.

Debatable aspects
CALCULATION OF THE RESISTING FORCE OF CYLINDRICAL BODY IN THE CASE OF LAMINAR FLOW VISCOUS FLOW, AND ITS APPLICATION TO THE ARBITRARILY BENDING LONG FLEXIBLE OBJECT
Gladkov S.O., Bogdanova S.B.
Abstract.  The new solution of the Navier – Stokes equation is founded for the laminar flow around cylindrical body of viscous fluid. It is shown that the resisting force with the laminar flow is determined by the narrow range of distances, calculated off its surface in the case, when, where   molecule concentration,    kinematic viscosity, the speed of flow at infinity.  It is noted, that in this range it is possible to neglect by substantional derivative and the dependence of the resisting force of per length of the cylindrical body as a function of its radius  are calculated. It is explained, that the formula of Lamb - Oseen its can “work” only out of the region of the laminar flow if, when the role of the substantional derivative is essential. The application of the obtained formula for the conclusion of the nonlinear equations of motion of any long flexible cylindrical object (string, rope, tape, etc.) at account of the both gravitational force and resisting force are demonstrated.
Keywords: viscosity, resisting force, laminar layer, flexible object, heterogeneous displacement.