SYNERGETICS: FROM PATTERN FORMATION TO PATTERN ANALYSIS AND PATTERN RECOGNITION

1994 ◽  
Vol 04 (05) ◽  
pp. 1069-1083 ◽  
Author(s):  
HERMANN HAKEN
Keyword(s):  
Pattern Analysis ◽  
Open Systems ◽  
Equations Of Motion ◽  
Order Parameters ◽  
Point Of View ◽  
Self Organization ◽  
Ginzburg Landau ◽  
Nonlinear Optical Devices ◽  
Ginzburg Landau Equations ◽  
Pattern Formations

It is by now well known that numerous open systems in physics (fluids, plasmas, lasers, nonlinear optical devices, semiconductors), chemistry and biology (morphogenesis) may spontaneously develop spatial, temporal or spatiotemporal structures by self-organization. Quite often, striking analogies between the corresponding patterns can be observed in spite of the fact that the underlying systems are of quite a different nature. In this paper I shall first give an outline of general concepts that allow us to deal with the spontaneous formation of structures from a unifying point of view that is based on concepts of instability, order parameters and enslavement. We shall discuss a number of generalized Ginzburg-Landau equations. In most cases treated so far, theory started from microscopic or mesoscopic equations of motion from which the evolving structures were derived. In my paper I shall address two further problems that are in a way the reverse, namely (1) Can we derive order parameters and the basic modes from observed experimental data? (2) Can we construct systems by means of an underlying dynamics that are capable of producing patterns or structures that we prescribe? In order to address (1), a new variational principle that may be derived from path intergrals is introduced and illustrated by examples. An approach to the problem (2) is illustrated by the device of a computer that recognizes patterns and that may be realized by various kinds of spontaneous pattern formations in semiconductors and lasers.

PRINCIPLES OF SUSTAINABLE SPATIAL NONEQUILIBRIUM

2018 ◽  
Vol 3 (2) ◽  
Author(s):  
A. A. Kaganovich ◽  
S. P. Prisyazhnyuk ◽  
A. S. Prisyazhnyuk ◽  
A.A. Petrov
Keyword(s):  
Open Systems ◽  
Point Of View ◽  
Self Organization ◽  
Nonequilibrium Systems ◽  
Ongoing Research ◽  
Evolutionary Changes ◽  
Self Development ◽  
Development Processes ◽  
Multi Level ◽  
Equilibrium Economic

<p>On the basis of ongoing research and development the authors substantiate the need to improve the theoretical and methodological foundations of self-development processes for equilibrium and non-equilibrium economic multi-level systems.Particular attention is paid to the analysis of the functioning of the so-called «microscopic open nonequilibrium systems»</p><p>In the article, the economic system is viewed from the point of view of synergy - as dual entities consisting of a continuous and discrete sphere.Classification of possible evolutionary changes in the kinetic and constitutional spheres in the process of self-development for economic equilibrium and nonequilibrium systems.Particular attention is paid to the continuous self-organization of microscopic open systems.</p>

Visions of Synergetics

1997 ◽  
Vol 07 (09) ◽  
pp. 1927-1951 ◽  
Author(s):  
Hermann Haken
Keyword(s):  
Decision Making ◽  
Pattern Recognition ◽  
Order Parameter ◽  
Computer Network ◽  
Open Systems ◽  
Movement Patterns ◽  
Order Parameters ◽  
Self Organization ◽  
Computer Algorithms ◽  
Stability And Instability

Synergetics is an interdisciplinary field of research. It deals with open systems that are composed of many individual parts that interact with each other and that can form spatial, temporal, or functional structures by self-organization. The research goal of synergetics is three-fold: (1) Are there general principles of self-organization? (2) Are there analogies in the behavior of self-organizing systems? (3) Can new devices be constructed because of the results (1) and (2)? From a mathematical point of view, synergetics deals with nonlinear partial stochastic differential equations and studies their solutions close to those points where the solutions change their behavior qualitatively. As I will show in my article, synergetics in its present form is based on the concepts of stability and instability, control parameters, order parameters, and the slaving principle. The slaving principle allows one to compress the information that is necessary to describe complex systems into a few order parameters. This is possible if systems are close to their instability points. But it appears that the order parameter concept is also applicable to situations away from such instabilities. At the level of the order parameter equations, profound analogies between otherwise quite different systems become visible. This allows one to realize the same process (for instance dealing with information) on quite different material substrates. The order parameter concept and the slaving principle are explained and their extension to discrete noisy maps and to delay equations are mentioned. These results can be applied to pattern formation in fluids, lasers, semiconductors, plasmas, and other fields. A section is devoted to the analysis of spatio-temporal patterns in terms of order parameters and the slaving principle. It is shown how the concepts of synergetics can be utilized to devise a new type of computer for pattern recognition. In connection with preprocessing, it can recognize patterns that are shifted, scaled or rotated in space and that are deformed. It can recognize scenes and also facial expressions as well as movement patterns. The learning procedure is briefly outlined. Because of the analogy principle of synergetics, this computer allows for hardware realizations by means of semiconductors and lasers. Decision-making by humans or machines is interpreted by means of an analogy with pattern recognition. Further sections are devoted to recognition of dynamic processes and learning by machines. In this author's opinion, synergetics will find important applications in medicine, for instance in the analysis of MEG and EEG patterns, and in the development of devices with brain-like functions. Future tasks of synergetics will be the application of the order parameter concept and the slaving principle to the integration of specialized computers or computer algorithms, for instance for the recognition of faces, movement patterns, and so on, into a computer network for scene analysis and decision making. This will also hold for complicated production processes and so on. Generally speaking, the potentialities of synergetics are based on its self-organization principles.

Order Parameters and Operation Modeling of Modularity Logistics Systems

2015 ◽  
Vol 740 ◽  
pp. 1025-1037
Author(s):  
Hui Shu Piao ◽  
Jing Wang ◽  
Jin Feng Chen
Keyword(s):  
Public Information ◽  
Order Parameters ◽  
Point Of View ◽  
Self Organization ◽  
Management Model ◽  
Collaborative Management ◽  
Logistics System ◽  
The Public ◽  
Logistics Systems ◽  
Internal And External Factors

The modularity logistics system is a new concept produced in network era of globalization. The modularity logistics systems have self-organization characteristic. Combining modularity theory with synergetics theory, the association between modularity logistics systems and logistics standardization system was analyzed. And from the self-organization’s point of view, analyzing the internal and external factors of modularity logistics systems, it was identified that the standardization degree and the modularity value of logistics systems are the order parameters among the co-evolutionary of modularity logistics systems. Finally, introducing synergetics to management science, the collaborative management model of modularity logistics systems is put forward based on the public information supporting platform.

scholarly journals УРОКИ КРИЗИ КЛАСИЧНОЇ КІБЕРНЕТИКИ. ПРИЧИНИ ТА СУТНІСТЬ

2018 ◽  
pp. 4-16
Author(s):  
Серій Ілліч Доценко
Keyword(s):  
Open Systems ◽  
Functional System ◽  
Point Of View ◽  
Self Organization ◽  
Fundamental Factor ◽  
Management Processes ◽  
Cybernetic System ◽  
Further Development ◽  
Theory Of Functional Systems

It is performed an analysis of the causes and consequences of the crisis of classical cybernetics, created by N. Wiener and W. R. Anby. N. Viener has shown that the basis of the crisis is the exclusion from the consideration of the process of forming the goal of activity for physiological and cybernetic systems. However, the study of the crisis of classical cybernetics is conducted from the historical point of view. N. Wiener's opinion on the role of the goal of the cybernetic system in management processes is not taken into account. The main focus is on the study of information management and transfer processes. The main direction of the development of classical cybernetics is determined by the further development of computer science, as well as new cybernetics. In the study of the crisis of classical cybernetics, an analysis of its initial hypotheses is not conducted in the formation of the principles of organisation and self-organization. Therefore, in the article the formation of the content of these concepts was made and on their basis an attempt was made to form initial hypotheses of the organization of physiological and cybernetic systems in their "existence", as well as self-organization in their "activities". It is shown that for the principle of organization and for the principle of self-organization in classical cybernetics, there is no unambiguous content. It is also shown that the crisis of classical cybernetics is due to the crisis of the methodology of the general theory of systems. The main lesson of the crisis of classical cybernetics is that the very purpose of the activity, the mechanism of formation of which was derived outside the cybernetic system, proved to be a fundamental factor both for the formation of the principle of organization of the system in its existence and for the formulation of the principle of its self-organization in its activities. Therefore, classical cybernetics should go to the research of information-open systems. To know the mechanism of the formation of the purpose of the activity, it is necessary to investigate the mechanism of the formation of heuristics in the model of the natural neural network by analogy with the problem of self-organization on the basis of heuristics for the model of the Rosenblatt perceptron, which was considered by A. G. Ivakhnenko. To know the mechanism of the change of the sign of feedback it is necessary to study the architecture of the functional system in accordance with the theory of functional systems of Academician P. K. Anokhin

scholarly journals MATHATICS AS PEDAGOGY, IN THE HISTORY OF PEDAGOGY AND EDUCATION

2021 ◽  
Vol 02 (08) ◽  
pp. 110-116
Author(s):  
Yulduzkhon Kulnazarovna Kushnazarova ◽  
Keyword(s):  
Open Systems ◽  
Point Of View ◽  
Self Organization ◽  
Educational Services ◽  
Motor Speech ◽  
The Third ◽  
Educational Product ◽  
History Of ◽  
The Brain ◽  
Graphical Presentation

Global paradigms "cover all types of activity and underlie the shift from the deterministic stochastic and to the third synergetic paradigm." The paradigm can be described using three keywords: self-organization, open systems, non-linearity. This work uses the data tabulation method and the graphical presentation of the results. The philosophy of postmodernism is a motor speech between a person and his reality. The value of education is not to memorize facts, to encourage the brain to think. In other words, postmodernism is "a new model of thinking that refuses to embrace traditionalism without reflection and reappraisal." In postmodernism, all similar, different and non-traditional data and knowledge coexist. Thus, if in modernism educational services are important, if they are useful, then in postmodernism the usefulness of a product or service is determined by the emotions of the person for whom the product was created. From this point of view, the educational product and service should be memorable.

scholarly journals PRINCIPLES OF SUSTAINABLE SPATIAL NONEQUILIBRIUM

2018 ◽  
Vol 3 (2) ◽  
Author(s):  
A. A. Kaganovich ◽  
S. P. Prisyazhnyuk ◽  
A. S. Prisyazhnyuk ◽  
A.A. Petrov
Keyword(s):  
Open Systems ◽  
Point Of View ◽  
Self Organization ◽  
Nonequilibrium Systems ◽  
Ongoing Research ◽  
Evolutionary Changes ◽  
Self Development ◽  
Development Processes ◽  
Multi Level ◽  
Equilibrium Economic

<p>On the basis of ongoing research and development the authors substantiate the need to improve the theoretical and methodological foundations of self-development processes for equilibrium and non-equilibrium economic multi-level systems.Particular attention is paid to the analysis of the functioning of the so-called «microscopic open nonequilibrium systems»</p><p>In the article, the economic system is viewed from the point of view of synergy - as dual entities consisting of a continuous and discrete sphere.Classification of possible evolutionary changes in the kinetic and constitutional spheres in the process of self-development for economic equilibrium and nonequilibrium systems.Particular attention is paid to the continuous self-organization of microscopic open systems.</p>

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