Горизонты синергетики: структуры, хаос, режимы с обострением
The content of the model of evolution of complex systems developed by Sergey P. Kurdyumov is under consideration in the article. Some key ideas, which were put forward by him, constitute nowadays a foundation for development of a methodology for studying complex self-developing systems of different nature. The model is based on four concepts: the relationship of space and time, complexity and its nature, nonlinearity, blow-up regimes. Self-organization and rapid, avalanche-like growth of complexity, evolutionary cycles and regimes switching occur as a necessary mechanism for maintaining “life” of complex structures. The methodology allows us to understand the nonlinear dynamics of evolutionary processes in systems of very different nature and to show the possibility of controlling them and creating the desired futures. Special attention is paid to considering possible applications of this model for understanding the dynamics of complex social, demographic and geopolitical systems.
An attempt to critically analyze the claims of the theory of self-organization of complex systems (synergetics) to the interdisciplinary generalizations and the universal efficacy of its models is made in the paper. The grounds of transfer of synergetic models to different disciplinary fields are under discussion. It is argued that synergetics is rather a mental scheme or a heuristic approach to exploring the complex behavior of systems, than a universal key to solving concrete scientific problems. Some prospects of development and the possible future of synergetics within the next decades are estimated.
Some texts written by me together with corresponding member of the Russian Academy of science Sergei P. Kurdyumov (1928-2004) and under his direct ideological influence are collected in the book. These texts are elaborated, systematized, brought together in the book and supplemented with new materials. Sergei P. Kurdyumov were possessed of a deep metaphysical flair and put forward ideas, the matter of which are not fully clear up to now. These are, first of all, the idea of co-evolution and the notion of complex structures developing at different tempos as co-existing tempo-worlds. Owing to developments in the field of nonlinear dynamics and of synergetics, the classical problem of time and the problems of evolutionary holism disclose some new and non-traditional aspects. The matter of new notions of nonlinearity of the course of time in the processes of evolution and coevolution and of nonlinear links between different modi of time – between the past, the present and the future - come to the light in the book. Analyses of four interconnected aspects of the course of processes in open and nonlinear dissipative systems – of evolutionarity, temporality, emergent nature and holism – are carried out. A whole series of paradoxical notions, such as “the influence of the future upon the present”, “the possibility of touch of a remote future in praesenti”, irreversibility and elements of reversibility of the course of time appear in synergetics, non-traditional and nonlinear notion of time being at the heart of all of them. It is shown that the best pictorial view of the nonlinear time is apparently the tree of evolution or the tree of time that represent one of archetypes in the human psyche. This image is widely used in myths and religious doctrines of the world nations (the tree of evolution of languages from some united parent language or the tree of evolution of biological species), the image is often drawn by children, appears in consciousness of a man in his sleep, etc. The synergetics methodology under development is applied to study of cognitive systems. The emergent structures of evolution and of self-organization of the individual consciousness, their spatiotemporal peculiarities, and the complexity of the human Self are considered in detail. The radical changes in the understanding of the problems of time that occur due to synergetics are compared with images of time and with the notions of connection between the past, the present and the future in the history of philosophy and of culture. The obtained methodological inferences are of great importance for a reform of systems of education, for forecasting (for building of scenarios of future development), for effective management activity in the modern globalizing world, for elaboration of methods of stimulation of the creative thinking, for the growth of personality and its adequate building into the social media.
The report considers the basic methods of simulation of socio-economic systems and processes such as system dynamics and multi-agent-based computer simulation, their possibilities in studying the dynamic aspects of the processes of strategic development of socio-economic systems. It offers the methods of combining composite system-dynamic and agent-based models, allowing us to investigate the dynamics of socio-economic processes by a cyclic interaction of processes of individual and group behavior of economic and social agents at the micro level with the basic processes of socio-economic system at the macro level. The report outlines the key areas of improvement of technology of simulation and scenario approach procedures for strategic planning and development of socio-economic systems.
The introduction describes the concept in the "hard"and "soft" sciences.
This book constitutes the refereed proceedings of the 9th International Conference on Cellular Automata for Research and Industry, ACRI 2010, held in Ascoli Piceno, Italy, in September 2010. The first part of the volume contains 39 revised papers that were carefully reviewed and selected from the main conference; they are organized according to six main topics: theoretical results on cellular automata, modeling and simulation with cellular automata, CA dynamics, control and synchronization, codes and cryptography with cellular automata, cellular automata and networks, as well as CA-based hardware. The second part of the volume comprises 35 revised papers dedicated to contributions presented during ACRI 2010 workshops on theoretical advances, specifically asynchronous cellular automata, and challenging application contexts for cellular automata: crowds and CA, traffic and CA, and the international workshop of natural computing.
The present catalogue contains abstracts for some 150 volumes, among which books, periodicals, miscellanies, published by the Institute of Philosophy of the Russian Academy of Sciences, the principal institute in Russia for academic research in all kinds of philosophical knowledge. These works, written by eminent Russian scholars, cover such fi elds as the history of Russian, Western and Oriental philosophy, ethics and aesthetics, synergetics and epistemology, social and political philosophy and concentrate on problems that have attained particular importance in the age of globalization and growth of national self-consciousness.
This proceedings publication is a compilation of selected contributions from the “Third International Conference on the Dynamics of Information Systems” which took place at the University of Florida, Gainesville, February 16–18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and academia in order to exchange new discoveries and results in a broad range of topics relevant to the theory and practice of dynamics of information systems. Dynamics of Information Systems: Mathematical Foundation presents state-of-the art research and is intended for graduate students and researchers interested in some of the most recent discoveries in information theory and dynamical systems. Scientists in other disciplines may also benefit from the applications of new developments to their own area of study.
I give the explicit formula for the (set-theoretical) system of Resultants of m+1 homogeneous polynomials in n+1 variables