Convergent Approach to Identification of Transient States of a Dynamic System

Mygal, Valeriy; Mygal, Galyna

doi:10.21272/jnep.12(6).06018

Cited by 4 publications

(4 citation statements)

References 15 publications

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“…It summarizes dynamic and statistical methods for investigating both spatial and temporal ordering. In our opinion, the reason for the dynamic similarity of the induced processes of different nature is the self-organization of inhomogeneities, which counteracts external influences [7]. This is a manifestation of the Le Chatelier-Brown principle, as well as self-organized criticality.…”

Section: Fig 1 -Statistical Complexity Induced By Spatial and Temporal Inhomogeneitiesmentioning

confidence: 82%

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Topological 3D Model of the Functioning of a Dynamic System – Cognitive Estimation of Complexity

Mygal¹,

Mygal²

2021

J. Nano- Electron. Phys.

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The article is devoted to the complexity of modeling the functioning of dynamic systems of various nature (sensors, detectors, intelligent materials, and other sources of information). Environmental or activity stressors increase the static complexity of information sources, resulting in dynamic complexity. Information about this is contained in the structure of induced relations, the latent complexity of which limits the ability to predict the functioning of a dynamic system in real time. The purpose of the work is cognitive visualization of the functioning of various sources of information. Morphologically different dynamical systems functionally obey the same extreme principles of physics and are studied by dynamic and statistically methods. Their complementarity made it possible to unify the reconstruction of a three-dimensional (3D) topological model of the functioning of an information source from the measured fractal signal. It was found that the latent structure of the signal is determined by spatial inhomogeneities, which generate temporary inhomogeneities in the information source and transmission environment. Stress factors increase the complexity of spatio-temporal signatures, which makes it possible to estimate the complexity of their configurations by increasing the number of components and the area covered. Therefore, the structure of a fractal signal can be analyzed in real time using additional probabilistic and deterministic methods. The creation of an atlas of fractal signal signatures simplifies the identification and classification of information sources of various nature. Its use will reduce cognitive problems associated with complexity and expand the set of predictive analytics tools. Visualization of latent spatio-temporal features of electrophysiological signals demonstrates the advantages and validity of cognitive visualization of the functioning of different subsystems of the human body.

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Section: Fig 1 -Statistical Complexity Induced By Spatial and Temporal Inhomogeneitiesmentioning

confidence: 82%

“…The role of a "generator of new ideas" in natural science has always been played by geometrization and fundamental principles [7]. Therefore, to identify cognitive information, it is important to combine the follow-…”

Section: Review Of the Literaturementioning

confidence: 99%

Topological 3D Model of the Functioning of a Dynamic System – Cognitive Estimation of Complexity

Mygal¹,

Mygal²

2021

J. Nano- Electron. Phys.

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“…It should be noted that the analysis of the topological 3D model of functioning stimulates the active work of both brain hemispheres [19,38] that simplifies cognitive perception and presentation of information flows of different nature. Such visualisation of the CDS elements functioning allows realising the data mining that is not yet available to human and computer in separate.…”

Section: Discussionmentioning

confidence: 99%

A Convergent Approach to the Viability of the Dynamical Systems: The Cognitive Value of Complexity

Illiashenko¹,

Mygal²,

Mygal³

et al. 2021

IJSSE

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The integration of information and industrial technologies, digitalization and differentiation of sciences are accompanied by an increase in various types of complexity. This limits the capabilities of computer modelling, data mining, and predictive analytics. The increasing cognitive complexity of information flows and their diversity creates problems of safety, reliability and stability of the functioning of a complex dynamic system in extreme conditions. Here we show the possibility of cognitive visualization of signals of different nature through their geometrization in the form of a topological 3D model of functioning. Its projections are spatio-temporal signatures, the configurations of which reflect the dynamic, energetic and structural features of the model. An increase in the number of components of the signature configuration and its area under external influence indicates an increase in structural and functional complexity. Therefore, the signal structure can be analyzed in real time using complementary probabilistic and deterministic methods. A set of tools for the synthesis and analysis of 3D models has innovative potential for monitoring the functioning of elements of complex dynamic systems, risk management and predictive analytics.

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“…Complexity of transients. Fractality and nonlinearity of electrophysiological signals determine the complexity of transient processes [18]. Their features are due to the self-organization of the body's subsystems to counteract external and internal influences [13].…”

Section: Systemic Problems Of Digitalizationmentioning

confidence: 99%

Transdisciplinary convergent approach - human factor

Mygal

2021

reks

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The article is devoted to the systemic problems of the study of the human factor, which are associated with the cognitive aspects of human-computer interaction. The rapid development of mathematical modeling has created systemic problems of safety, control and forecasting of the functioning of dynamic transport systems in difficult conditions. The accumulation of latent contradictions and interdisciplinary conflict are the main reasons for the systemic complexity of the problems of education and science, which have increased the importance of the human factor. The main goal of the work is to further develop a convergent approach to studying the problems of the safety of the human factor on a transdisciplinary basis. The key reason for systemic security problems and the manifestation of the human factor is self-organized criticality, the manifestation of which in information transmission lines causes nonlinearity and instability of fractal signals of various natures. The work establishes a connection between the transitional functional states of a person with the individuality of his cognitive activity. A toolkit for identifying induced spatial and temporal inhomogeneities of information transmission media, which generate hidden spatio-temporal relationships at different scale levels, is proposed. These interconnections are determined by the individuality of the cognitive graphic images of fractal and multifractal signals of various natures. The creation of a knowledge base of cognitive graphic images of the dynamic structure of fractal and multifractal signals of various nature will allow finding solutions not yet available to the brain and computer separately. The application of the transdisciplinary convergent approach and tools based on it to electrophysiological signals of a human operator demonstrates advantages and new possibilities. In particular, revealing hidden spatio-temporal relationships that determine the manifestation of human factor in difficult conditions. The innovative potential of the convergent approach to training and forecasting activities of operators (pilot, dispatcher, etc.) is being discussed.

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Convergent Approach to Identification of Transient States of a Dynamic System

Cited by 4 publications

References 15 publications

Topological 3D Model of the Functioning of a Dynamic System – Cognitive Estimation of Complexity

Topological 3D Model of the Functioning of a Dynamic System – Cognitive Estimation of Complexity

A Convergent Approach to the Viability of the Dynamical Systems: The Cognitive Value of Complexity

Transdisciplinary convergent approach - human factor

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