Truth is always born as heresy,
and dies as prejudice

Georg Wilhelm Friedrich Hegel



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Institute of Systemology LLC announces a grant for research in complex systems. [read more]


Competition for the publication of research papers of the Institute

Institute of Systemology JSC announces a competition for grants for the publication of research papers in systemology and complex systems. [read more]

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Our objective in the era of knowledge synthesis is to provide scientists in different fields with a platform for searching for general principles of the structure, development, and interaction of complex systems.

Sharing knowledge and achievements between researchers pursuing the same direction in various sciences is most effective in the framework of periodicals. Interaction within our journal will develop a living common language of interdisciplinary communication.

One of the main goals of the journal is to accumulate research, experimental, and theoretical results from the study of physical, chemical, biological, technical, social, and other complex systems. The goal of the journal is to create a knowledge base on complex systems for generalizations, advancement of new ideas and their popularization for a wide range of readers.

Scientific fields of the journal

Considering the interdisciplinary nature of research related to complex systems, the scientific interests of the journal includes several subjects according to the Higher Attestation Commission classification:

01.04.02 Theoretical physics
05.13.01 Systems analysis
09.00.08 Philosophy of science and technology
01.01.09 Discrete mathematics and mathematical cybernetics
05.13.17 Theoretical foundations of information science
03.01.09 Mathematical biology, bioinformatics

The rubricator lists the areas of research in each subject most suitable for the goals and objectives of the journal. Each subject has areas of study that can be classified as the study of complex systems. The interests of the journal are not reduced only to the areas of research named in the certificates of the Higher Attestation Commission, related to complex systems. If the author conducts research on complex systems in other areas, then the results of these studies can be available to a wide range of scientists when published on the pages of our journal, and the priority of these studies is set to the author.


The problem of access to scientific knowledge is relevant for world science in general, and is especially acute in Russia. Open Access to publications is the basic principle of our journal.

Open Access

Open access dissemination of knowledge (free, fast, permanent, full-text access to scientific and educational materials in real time).

Creative Commons Attribution

Provision of materials under a Creative Commons Attribution (CC-BY) license, which allows unrestricted use of the works, provided that the creator is appropriately credited.

Open Data

Export of materials to open international repositories of scientific information, such as Google Scholar, OCLC WorldCat, ROAR, BASE, OpenAIRE, RePEc, EBSCO, Socionet, etc., using the OAI-PMH protocol.

The journal is an official member of Open Access 2020 international alliance.

Current issue

№3 (13) 2021


Big Solar Cycle: stages of structure evolution from formation to present day

Smirnov V. L.

We propose a structural scheme for the origin and unfolding of the large solar cycle as a group of physical phenomena that are registered on the surface of the Sun and include the so-called 11-year and 27-day (Carringtonian) cycles of solar activity. The model considerations are quite general because they exclude the specifics of natural systems; physical laws are not used; only the structural aspect is studied. The basis for consideration is the protostructure, i.e. according to the conception, a primary system of relations, which is considered on the numerical axis. The system is represented as a network consisting of nodes, or allowed states, and links, i.e. rules responsible for stability, both of which are set by the protostructure. An order parameter, n, or hierarchically the most significant characteristic of the system, is formed on the basis of two additional relative characteristics. The order parameter and shifts of its positions relative to the initial positions are the basis for the analysis of structural events.

The protostructure has previously been used to analyze the structure of the solar system in the ecliptic plane, where the role of the order parameter, n, is played by the relative angular momentum. In particular, the stages of the Sun’s burning from initial mass to the currently known mass, as well as the relationship of mass with the minimum radius of the Sun and the eccentricity of the Earth’s orbit have been investigated. The nodal complex responsible for the formation of the observed characteristics of the great solar cycle, Halley’s Comet, the asteroid belt, and the Chiron body was also identified. The analyses of already available model constructions, as well as the involvement of several hypotheses allow us to combine these results and present a set of structural scenarios describing the emergence and unfolding of the great solar cycle from its formation to the present. At present, the observed solar radius is 4.649*10-3 a.u. When the model solar radius changes within the range of (4.800 — 4.642)*10-3 a.u., the cycle durations vary between (9.666 — 27.276) days and (18.784 — 11.086) years, where r3=a.u., the latter case being the cycle base that is further split into components. The peculiarities of the initial state and causes of cyclicity are discussed.

Key words: solar surface, evolution, large solar cycle, solar burning, order parameter.


Ethirohydrodynamic model of inertia

Buylin I. A.

A simple explanation of the most mysterious classical mechanics and theoretical physics concepts — inertial and non-inertial reference systems, the forces of inertia, the motion of bodies by inertia on the basis of a simple vortex model of solids and D’Alembert’s paradox, as well as on the equilibrium conditions of incompressible fluid and the principle of attached masses for potential flows are proposed. A new interpretation of Newton’s three laws is presented on the basis of the resulting model.

Key words: Newton’s laws (NL), inertia, inertial forces (IF), inertial reference system (IRS), centrifugal force (CF), ether, D’Alembert’s paradox, hydrodynamic dipole.


Social resources in the theory of economic growth

Pokrovskii V. N.

Regularities of a production system development are discussed on the basis of the notion that progress in human economic activity is related to advances in the technological use of human effort and energy sources, which are regarded as the most important societal production resources. The concept of substitutive work of equipment P is introduced, which in all respects is equivalent to the efforts of people in production; it can be considered a service of capital, and is regarded as a value-forming factor, along with the traditional production factors. System output (value production) is defined as a function of three variables, two of which are: labour L and substitutive work P, are regarded as active sources of value, which allows us to introduce an energy measure of value, while physical capital K, as a production factor, plays a passive role. Under the assumption that the production system seeks to use all available social resources defined by circumstances external to the system, equations for production factors are formulated; they are also accompanied by equations for the technological characteristics of production equipment. The trajectory of the system development is determined by the characteristics of the system itself and the availability of social resources, which cannot be used completely simultaneously, which leads to a change of modes of development and fluctuations in output, i.e. business cycles. Using the example of the U.S. economy, it is demonstrated that the system of equations is able to describe the observed trajectory of development and output of the production system.

Key words: Gross Domestic Product, Production Dynamics, Law of Substitution, Principle of Evolution, Value, Econodynamics, Energy.


Acoustical low-frequency impacts inside natural clouds to get precipitation enhancement

Wei Jiahua, Li Tiejian, Tulaikova T. V., Yan Diran, Chen Guoxin, Wang Jinzhao, Chen Yueyang

This paper analyzes artificial acoustical impact inside natural clouds, in particular inside the non-precipitated stratiform clouds, non-precipitating shallow cumulus clouds, and Cu-clouds with drizzle. Optimal power and frequency for acoustical impact were indicated based on properties of natural cloud, such as liquid water content, droplet concentrations, and the average diameter size of a droplet ensemble followed by lognormal or gamma size distributions in the presented consideration. The model is constructed to ensure collisions of neighboring droplets when they vibrate in acoustical field to merge with mass unification, but the process is designed with a minimum required level of acoustic power for comfort realization in practice. Vibration model of suspended droplets with typical size in cloud is analyzed. The optimized acoustic power is near 130 dB, and frequency f ≈ 50 – 100 Hz, and detailed characteristics are indicated for each cloud type depending on their parameters. Simple formulas and typical calculations for droplet amplitude are presented in terms of parameters of acoustical field as well as cloud characteristics. The first low-frequency acoustic experiments for clouds are performed and presented. The low-frequency method has shown a promising potential to be used for precipitation enhancement to tackle water shortage problem in the modern world.

Key words: precipitations enhancement, acoustics, clouds, aerosol, vibration, coalescence.


Application of methods of affinity transformation of matrixes of raster image pixel values

Ilichev V. Y.

The following goals were set within the scientific work: to create a method, an algorithm and a program for compression of raster (pixel) graphic information using special mathematical methods, or affine transformations. The main task was to provide a high degree of image compression with a minimum deterioration of image quality. An original method for replacing a large number of pixel blocks in the source image by a relatively small number of the most suitable specially created domain blocks was developed. Affine transformation consists in moving any domain block from a set to any part of the image, while ensuring maximum similarity of source and domain blocks. To implement the method, an algorithm and a program in the modern and popular Python language have been developed. We have considered the example of image transformation in grayscale of 256×256 pixels using domain blocks created from 4×4 pixel image areas. The result is an image visually indistinguishable from the original image, which requires only 0.3125 of the original information to describe. Calculations were also performed with a smaller number of domain blocks. The developed method and program proved a high degree of compression of bitmap images with preservation of their quality. It is possible to further improve the described algorithm and the program presented on the author’s site by simultaneous application of different types of affine transformations. It is shown that the same method can be used not only for image processing, but also for the detection of similarity (fractal properties) in any flow of information.

Key words: raster graphics, affine transformations, image compression, fractal properties, Python language.


Problems of utilization and recycling of autonomous mobile robots in their mass application. Part 1

Starovoytov E. I.

Widespread introduction of mobile robotics in various spheres of human activity makes the problem of mass disposal of expired, outdated and faulty robots topical. When disposing of each type of mobile robots, it is necessary to take into account peculiarities of its design, composition of on-board equipment and take into account environmental risks in case of destruction of the robot structure with its fragments getting into the environment. Depending on the type and purpose of robots, their disposal and recycling have significant features. This paper analyzes the problems associated with the disposal of different types of autonomous mobile robots. The main sources of environmental pollution present in the components of robots: electronic components, accumulator batteries, constructional materials, connecting cables are considered. The environmental impact of different types of mobile robots and the prevailing types of waste during their disposal are determined.

Key words: mobile robots; UAVs; disposal; recycling; environment.