Random Evolutionary Systems

Introduction

The theory of complex systems is a modern field of natural sciences, which considers systems that consist of a large number of interacting parts. There is not a large number of quality properties of a system that are observed in the study of its individual parts; they arise only as a result of their interactions.

The theory of complex systems is based on methods of systems analysis as an applied scientific methodology, consisting, in particular, of mathematical methods, algorithmic software and computing tools, which provide the formation of holistic knowledge about the object, as a set of interconnected processes of different natures for further decision-making on its development and behavior, taking into account conflicting criteria, the presence of risk factors and inaccurate information. Due to the application of systems analysis methods, the theory of complex systems has been actively developing in recent decades and consists, in particular, of the development of methods for structuring, modeling, analysis and synthesis of deterministic and stochastic systems in problems of mathematical (including statistical) physics, applied questions of probability theory and fractal analysis and mathematical problems of biology, sociology, ecology, economics and medicine. The main motivation that unites all these diverse mathematical and natural sciences in a single discipline is closeness, as well as the kinship laws and methods of studying the collective behavior of ...