ОБЩИЕ ПРИНЦИПІ ПОСТРОЕНИЯ ПРОЦЕССА РАЗВИТИЯ САМООРГАНИЗУЮЩИХСЯ СИСТЕМ
Journal Title: Гуманітарний часопис - Year 2016, Vol 1, Issue 2
Abstract
Bakanova Olexandra, Druz Valeriy, Pugach Yaroslava GENERAL PRINCIPLES OF SELF-ORGANIZING SYSTEMS DEVELOPMENT For many thousands of years the problem of self-organization has been the subject of research by leading scientists. The main objective was to find common principles that could give rise to this process. This problem was studied in the philosophy of ancient China, India and Greece. More recently, it was investigated in the European philosophy. Particular attention to this problem was focused in the twentieth century. A rapid development of technology, the emergence of modern computers raised the question of artificial intelligence. Biological sciences are paying increasing attention to the problem of aging process and understanding the mechanisms of its occurrence. The problems of reversibility of physiological processes and nature of the body adaptation to rapidly changing environmental conditions are equally important. Thus, the analysis of scientific literature on the subject in various fields of knowledge allowed us to select the most general principles of the development process of selforganizing systems, which include the following: Unity of the object and conditions of its existence; Adoption of the activity result that systemically motivates important processes; Isomorphism and invariance of functional systems organization at various levels; Multi parameter organization of functional systems to ensure a continuous activity on the basis of a discrete activity of the components; Statistical regularity of a functional activity as a reflection of the process integrity to obtain an equal final result; Dichotomous organization of relations structure; Cost minimization to obtain an identical final result; Manifestation of a final activity result as a functional similarity criterion in multi parameter systems of relations. The above mentioned principles determining a self-organization process have their mathematical descriptions representing the modelling space. Such models include: Malthusian equation that reflects the growth in non-limited living environment; VerhulstPearl equation that reflects the development in a restricted living environment; Equation system of competing relationships allowing to establish an equity proportion of competing objects in a constraint environment; Volterra-Lotka equation that reflects the frequency of activity and the number of objects involving the relationship of "consumer-satisfier"; MonoSzilard equation of flow systems that reflects a growth condition of structural units representing a flow chemostat; Normal distribution law that reflects the nature of statistical organization of structural and functional constructions of investigated objects. In conclusion it should be noted that basic provisions of building and development of self-organizing objects in tolerant spaces described in V.Samsonkin’s theorems have been established. The article considers the rules of construction of attributive somatic spaces with a single measure of comparing features described in Ya.Pugach’s investigations. To sum up, all the stated provisions open up the possibility for a wide use of mathematical model method as a means of investigating the tasks beyond direct empirical solutions.
Authors and Affiliations
Олександра Баканова, Валерій Друзь, Ярослава Пугач
Keywords
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