SYNERGETICS

"This cosmos, the same for all existing entities, was created neither by a god nor by a man, but it was, is and will be an eternally living fire which lights up according to a certain measure and goes out according to a certain measure" HeraЯlitus

" The mankind does not have time to grope the organization of the world by the trial and error method.... "
S.P.Kurdyumov

Scientific Consulting and Educational Interdisciplinary Center
"Strategies of Dynamical Development"
(SDD-CENTER)

Max Planck Institute for the Physics of Complex Systems

⌠Foundations of Synergetics:
Blow-up Regimes, Self-Organization, Tempoworlds■

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

Center for Nonlinear Phenomena and Complex Systems

Chaos in the Lorenz Equations

Complex systems virtul library

Statistical physics and nonlinear dynamics

University of Maryland at College Park

Bristol Ctntre for Applied Momlinear Mathematics

Nonlinear Dynamics group in Potsdam

Statistical physics and nonlinear dynamics

Center for nonlinear analysis

University of Western Ontario

Institute for Nonlinear Science University of California Science
San Diego, USA

Nonlinearity
Electronic journals

Fachbereich Physik Institut fur Theoretische Physik 1

University of Texas at Austin

Bristol Ctntre for Applied Momlinear Mathematics

University College, London Centre for Nonlinear Dynamics

Center for Dynamics of Complex Systems
Potsdam, Germany

S.P.KURDYUMOV

BOOK SHOP

To our teacher,
Sergey Pavlovich Kurdyumov
Victor A. Galaktionov,
Sergey R. Svirshchevskii
"Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations
in Mechanics and Physics"

Books Earth's biggest bookstore

Center for Nonlinear Phenomena and Complex Systems

International Conference on Bioinformatics and its Applications

In school education

Santa Fe Institute

Keldysh Institute of Applied Mathematics,
Russian Academy of Sciences

Universitat Stuttgart Center for Synergetics Hermann Haken

International Society of Symmetry in Bioinformatics

Nonlinear dynamics chaotic dynamical systems

Visualization of Complex Dynamical Systems

Center for Nonlinear Studies Los Alamos, New Mexico, USA

New England Complex Systems Institute

InterJournal

College of Applied Science
Saratov State University.

SYNERGETICS
Non-profit Methodical Site
Dubna

FRACTALS

MOSCOW INTERNATIONAL SYNERGETIC FORUM

University of Maryland at College Park

Complexity Digest

World Organization of Medical Synergetics

Information Technologies by Leonid Ototsky

Nonlinear Dynamics &
Chaos group

Center for Nonlinear Dynamics in Economics and Finance

Nonlinear dynamics chaotic dynamical systems

Visualization of Complex Dynamical Systems

UNIVERSITY of CAMBRIDGE
The Nonlinear Centre

ABOUT MYSELF, ABOUT MY RELATIVES,
FRIENDS AND TEACHERS
AND PROBLEMS OF THE MODERN SCIENCE

SYNERGETICS AND EVOLUTIONISM

WHAT IS SYNERGETICS?

ECONOMIC, SCRISES, RISKS

SYNERGETICS AND CULTURE

MATHEMATICAL METHODS IN SYNERGETICS

PHILOSOPHY
AND SYNERGETICS

SYNERGETICS AND EDUCATION

SYNERGETICS AND THE SCIENTIFIC FORECASTING

NEW IN SYNERGETICS:
BOOKS, ARTICLES, PAPERS
AND COMMENTS

DEMOGRAPHY AND SYNERGETICS

LIBRARY "SYNERGY"

ABOUT US

"NONLINEAR DYNAMICS AND THE PROBLEMS OF PREDICTION" G.G. Malinetskii and S.P. Kurdyumov Everyone takes an interest in forecasts, both the specialist and the man on the street. Both wish to know the extent of reliability of complex engineering structures like nuclear power stations, aircraft, and ocean liners, or to receive timely information about an approaching tsunami or an impending earthquake. In recent years, thanks to advances in nonlinear dynamics, risk management theory, and self-organized criticality theory, some fundamental limitations of forecasts were identified. These limitations were discussed at a RAS presidium meeting held at the end of 2000. The meeting's deliberations formed the basis of the paper and discussion below

"QUASICLASSICAL COARSE GRAINING AND THERMODYNAMIC ENTROPY" Murray Gell-Mann - winner of the Nobel Prize in physics and James B. Hartle. Our everyday descriptions of the universe are highly coarse-grained, following only a tiny fraction of the variables necessary for a perfectly fine-grained description. Coarse graining in classical physics is made natural by our limited powers of observation and computation. But in the modern quantum mechanics of closed systems, some measure of coarse graining is inescapable because there are no non-trivial, probabilistic, fine-grained descriptions. This essay explores the consequences of that fact

"SCALING IN MODELLING GLOBAL POPULATION GROWTH" Sergey P. Kapitza Global population growth is described over practically the whole of human history by assuming self-similarity as the dynamic principle of development. Nonlinear growth is proportional to the square of the number of people due to a collective interaction of an informational nature. Estimates of the beginning of human development 4 √ 5 million years ago and of the total number of people who have ever lived since then 100 billion are made. Large scale cycles, defined by history and anthropology, are shown to follow an exponential pattern of growth, culminating in the demographic transition. A veritable revolution, when global population growth is to stabilize at 10 √ 12 billion in the foreseeable future

"DIE SELBSTORGANISATIONSGESELLSCHAFT" Hermann Haken Das vergangene Jahrhundert wird oft als das der Industriegesellschaft bezeichnet. Zu ihrer Entwicklung trugen zum einen fundamentale Erfindungen bei, dann aber auch neuartige Produktionsmethoden, wie das Flie? band, und die extreme Arbeitsteilung im Sinne des Taylorismus. Zu Ende jenes Jahrhunderts zeichnete sich bereits die Formierung der Informationsgesellschaft ab. Die technischen Moglichkeiten, wie sie sich insbesondere in der Kernkraft und neuerdings in der Gentechnik wie auch in den Computerwissenschaften darstellen, werden allerdings nicht nur als Segen, sondern oft auch als Bedrohung empfunden

"NONLINEAR SYNTHESIS AND CO-EVOLUTION OF COMPLEX SYSTEMS" "Helena Knyazeva, Sergei P. Kurdyumov Today a change is imperative in approaching global problems: what is needed is not arm-twisting and power politics, but searching for ways of co-evolution in the complex social and geopolitical systems of the world. The modern theory of self-organization of complex systems provides us with an understanding of the possible forms of coexistence of heterogeneous social and geopolitical structures at different stages of development regarding the different paths of their sustainable co-evolutionary development. The theory argues that the evolutionary channel to the observed increasing complexity is extremely narrow and only certain discrete spectra of relatively stable self-maintained structures are feasible in complex systems

"SYNERGETICS AND HIGH TECHNOLOGIES. THE PART AND THE WHOLE" George Malinetsky Ph.D . (Physics & Mathematics), Professor, Department Head M. V. Keldysh Institute of Applied Mathematics. Why is it that a whole can acquire properties that are not intrinsic to any of its parts? Many of us have been confronted with a situation where each member of a collective is "against" or hesitates, whereas the overall vote is affirmative. The same problem can be noticed in chemical kinetics. Chemical transformations take place at the molecular level, but oscillatory reactions exist where almost all of the molecules start to run synchronously, as if on a mutual agreement, or obeying the rule of an invisible director

"ECONOMICS: THE NEXT PHYSICAL SCIENCE?" J. Doyne Farmer - Santa Fe Institute, Martin Shubik and Eric Smith We review an emerging body of work by physicists addressing questions of economic organization and function. We suggest that, beyond simply employing models familiar from physics to economic observables, remarkable regularities in economic data may suggest parts of social order that can usefully be incorporated into, and in turn can broaden, the conceptual structure of physics. In the last decade or so physicists have begun to do academic research in economics in a newly emerging field often called ⌠econophysics■

"HERAUSFORDERUNGEN VON KOMPLEXITдT IM 21. JAHRHUNDERT: DYNAMIK UND SELBSTORGANISATION IM ZEITALTER DER GLOBALISIERUNG" Prof. Dr. Klaus Mainzer Im Zeitalter der Globalisierung werden die Lebensbedingungen der Menschen immer komplexer und unubersichtlicher. Taglich erleben wir die labilen Gleichgewichte in Politik, Wirtschaft und Gesellschaft. Einige Lander furchten den Verlust gewohnter Besitzstande und den Absturz ins Chaos. Andere sehen die Chancen kreativer Innovation und den Aufbruch zu neuen Markten. Chaos, Ordnung und Selbstorganisation entstehen nach den Gesetzen komplexer dynamischer Systeme - in der Natur und der Gesellschaft

"WHAT IS SYNERGETICS?" Helena Knyazeva. New science of complexity, i.e. synergetics, is in the process of becoming widely appreciated now. Synergetics deals with cognition and explanation of complex structures, principles of their self-organization, generation of order from chaos, evolution and co-evolution. Synergetics as an interdisciplinary research field has far going applications to understanding of human being and development of social systems. The educational procedure consists simply in awakening of the forces and abilities of a given pupil and in stimulating progress on his or her own paths of development. The gestalt-education is an initiating education, reopening of ourselves, collaboration with ourselves and with other people. It is a way to discover the reality as well as to search paths into the future

"TRANSFORMING THE SYSTEMS MOVEMENT" Russell L. Ackoff. Dr. Ackoff is the author and co-author of 19 books, including Redesigning the Future, The Art of Problem Solving, Creating the Corporate Future, Revitalizing Western Economies, and Management in Small Doses, Ackoff's Fables, The Democratic Corporation, and his most recent book, Ackoff's Best≈His Classic Writings on Management

"THE BURDEN OF GRANDEUR: THE WELL-BEING OF THE RUSSIAN POPULATION IN THE EIGHTEENTH CENTURY ACCORDING TO THE ANTHROPOMETRIC DATA" Boris N. Mironov. The eighteenth century is one of the most brilliant centuries in the history of Russia. The resounding victories over Sweden and Turkey allowed Russia to strengthen her position on the shores of the Baltic and Black seas, to annex Poland, Baltic lands and the Crimea and ensured the rank of a great military power for her. Russia built up not only a powerful Army and Navy but also a national industry. Art, sciences and education were developing, foreign- and home-trade turnovers were growing, the economy was getting commercialised and considerable economic growth was evident

"REGIONAL, SINGLE POINT, AND GLOBAL BLOW-UP FOR THE FOURTH-ORDER POROUS MEDIUM TYPE EQUATION WITH SOURCE" V.A. Galaktionov. On classic second-order blow-up models and higher-order diffusion. Blowup phenomena as intermediate asymptotics and approximations of highly nonstationary processes are common and well known in various areas of mechanics and physics. Theorigin of intensive systematic studies of such nonlinear effects was gas dynamics (since the end of the 1930s and 1940s) supported later in the 1960s by plasma physics (wave collapse) and nonlinear optics (self-focusing phenomena). Nevertheless, it was reaction-diffusion theory that exerted the strongest influence on mathematical blow-up research since the 1970s

"HOW UNLIKELY IS A DOOMSDAY CATASTROPHE?" Nick Bostrom, Max Tegmark. Numerous Earth-destroying doomsday scenarios have recently been analyzed, including break-down of a metastable vacuum state and planetary destruction triggered by a ⌠strangelet■ or microscopic black hole. We point out that many previous bounds on their frequency give a false sense of security: one cannot infer that such events are rare from the the fact that Earth has survived for so long, because observers are by definition in places lucky enough to have avoided destruction. We derive a new upper bound of one per 109 years on the exogenous terminal catastrophe rate that is free of such selection bias, using planetary age distributions and the relatively late formation time of Earth

"ARTIFICIAL INTELLIGENCE AS A POSITIVE AND NEGATIVE FACTOR IN GLOBAL RISK" Eliezer S. Yudkowsky By far the greatest danger of Artificial Intelligence is that people conclude too early that they understand it. Of course this problem is not limited to the field of AI. Jacques Monod wrote: "A curious aspect of the theory of evolution is that everybody thinks he understands it." (Monod 1974.) My father, a physicist, complained about people making up their own theories of physics; he wanted to know why people did not make up their own theories of chemistry. (They do.) Nonetheless the problem seems to be unusually acute in Artificial Intelligence

"QUASI-FIXED COSTS OR LONG-RUN FIXED COSTS? SOME ASPECTS OF THE INTERCONNECTION BETWEEN CHANDLERIAN BUSINESS HISTORY AND STANDARD COST THEORY" Andrei Yu. Yudanov Despite the efforts made over the past decades by some outstanding scholars, the interrelations between economic theory and economic history are far from harmonious. Economic theorists often continue to regard history as a mainly descriptive, "non-analytical" discipline. Economic historians are just as often dissatisfied with the formalism of theory and its inadequate attention to institutional aspects. But the point is that within the framework of these sciences, which do indeed take a largely different view of the economy, there are two areas--Chandlerian business history and standard cost theory--which definitely have a large potential for interaction

"Selbstorganisation √ globale Strategien zur Gestaltung der Zukunft" Werner Ebeling Unsere Welt befindet sich gegenwartig in einer tiefen gesellschaftlichen Krise. Politiker, Manager und Wissenschaftler suchen nach Auswegen aus dieser Krise und nach einem Leitfaden fur die Gestaltung des 21. Jahrhundert. Von vielen Menschen, besonders von Jungeren wird gefragt, ob die Resultate der Forschungen uber Selbstorganisation weiterhelfen konnen, Auswege aus den heute sichtbaren Sackgassen zu finden und gangbare Wege zur Gestaltung einer lebenswerten Zukunft der Menschheit zu weisen

"GLOBAL POPULATION BLOW-UP AND AFTER: THE NATURE OF THE CRISIS FACING HUMANITY AS A CHALLENGE FOR THE NEW ENLIGHTENMENT" Sergey P. Kapitza Of all the global problems looming on our common horizon that of population growth comes first. It sets the scene for considering major issues of social and economic development, of science, education and art, of growth and security. In dealing with these matters a new way has to be found to comprehend the challenge of change. For one has to go beyond the agenda of demography and economics, sociology and anthropology, and see mankind as an evolving system.

"Strategies of Dynamical Development" (SDD-CENTER)
Moscow 2007

бепмсрэяъ мю яюир
я.о. йспдчлнбю