Synergetics and fractality in science education

Abstract

The formation and conservation of the functional organization, its development and implementation is both the goal of the research, and its paramount stage. This concerns the problems associated to the development of materials with structural-sensitive properties and varying degrees of ordering (in the majority of cases, the most important one is the creation of the required spatial or spatial-temporal ordering). The question about the optimal structuring and organization is also topical when studying the global problems, in particular energy, ecological, educational and others, which require immense resources. In this case it is difficult to overestimate the importance of self-organization and laws of ordering in physical, technic, information systems. The present work is dedicated to the studies on formation of the ordered structures and hyper sensibility in the different-nature systems (non-crystalline solids, materials of artificial intelligence, information and communication systems, education) by invoking the ideas of synergetics and computer modeling. In contrast to a number of known books on the problem of ordering, this book contains both mathematical background and a number of theoretical facts, concerning information technology, natural sciences. An important problem of the influence of different fields on the metastable systems is successively analyzed in many aspects, and leads to understanding of the essential importance of investigations in this direction. From this perspective, education is seen as a living organism, for which a minimum level of dissipative processes and a comprehensive information perception can be achieved. From chapter to chapter the considered tasks become more and more clear, and appropriate mathematical models of self-organizing processes are more visual. So this book may be interesting for the professionals working in this field of science, and for those readers who are just trying to understand the deep interconnections in the materials science and information objects.