Математическое моделирование неферментативной изомеризации остатков Asn и Asp в белках организма
The classical cybernetics in the Norbert Wiener’s tradition is nowadays a part of the mathematical theory of complex systems and nonlinear dynamics. Only in these frameworks, building of structures and patterns in nature and technics can be explained and in computer models simulated. Self-organization and emergence became welldefined concepts and can be transferred to technical systems. In the first part of the article, the foundations of complex systems and of nonlinear dynamics are under review. As an application, the building of structures and patterns in complex cell systems, which are subject of system biology, is considered. In the second part, the application of complex system dynamics to evolution of brain and cognition is explored. The research gives us a prerequisite for development of cognitive and social robots, what the topic of the third part is. Neural network structures are not at all limited to individual organisms and robots. In the fourth part, the cyberphysical systems, by means of which complex self-controlling sociotechnical systems are modeled, are studied. The mathematical theory of complex systems and nonlinear dynamics provides us with foundation for understanding of self-organization and emergence in this field. Finally, the question of ethical and social general conditions for technical constructing of complex self-organizing systems are stated and discussed.
This article discusses examples of nonlinear models of economic dynamics and possibilities of their research by numerical procedures in MATLAB. Demonstrated specific effects of these models, in particular, the possibility of forming a chaotic behavior
The approaches to the modeling of innovative development of economic systems based on the methodology of nonlinear dynamics are proposed. The generalized nonlinear dynamic models for the analysis of economic development is discussed. The loss of stability of the dynamic mode and the area of deterministic chaos are considered in terms of risk analysis
An approach to the investigation into the dynamics of social networks is described. The results of a qualitative analysis of the social network based on a microblogging principle are represented. The network interaction is approximated as a dynamic system characterizing the number of senders and recipients of small content elements. The aim of the present paper is to make an investigation into the social network as a dynamical system, considering informational saturation and informational interaction between the senders and recipients. Systems without and with restrictions are investigated. It was determined that a social network, represented by a dynamic system considering saturation and interaction between the senders and recipients, is adequate. The parametric conditions of an asymptotic stability and forked bifurcation for the network dynamics are developed.