Simulation of the Multialternativity Attribute in the Processes of Adaptive Evolution

  • Semen PodvalnyEmail author
  • Eugeny Vasiljev
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 259)


This article is devoted to the expansion of the ideas of evolutionary cybernetics to the problems of cyber-physical systems design. The main objective of such design is to reproduce the ability of an adaptive evolution that is proper to biological systems in the cyber-physical systems. This ability specific to biologic systems provides their sustainable development in a wide range of criteria of their functioning. More and more, the principle of variety of the processes running simultaneously in a complex system becomes the principal mechanism of realization of adaptive evolution. Mathematical representation and the analysis are made of this mechanism of variety in biological structures of various level of complexity. For pre-biological structures, the evolutionary value of multialternativity is explained in the processes of their streamlining and self-copying. Evolutionary models of the elementary macromolecules–quasitypes and the model of a syser with linked matrixes are investigated. It is shown below that the emergence and stable existence of pre-biological structures are possible as a result of a variety of the results of copying providing the cross mutational streams as well as the general evolutionary progress of population in general. As a model of the population evolution, its formal representation is offered as the discrete uniform Markov’s process altering its state under the influence of complementary streams of events in the external environment and accumulation of a gene pool. For a vector of probabilities of these states the differential equation of Kolmogorov was composed hence, its solution gave the chance to obtain a quantitative assessment of a genetic variety’s role as an emergency condition of either the evolution of biological population or its degeneration. The conclusion is made about the significance of the property of multialternativity as the mechanism of realization of the general cybernetic principles of creation the cyber-physical systems.


Cyber-physical systems Models of adaptive evolution Mutational streams Genetic variety Principles of multialternativity 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Voronezh State Technical UniversityVoronezhRussia

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