Other World, Other Science, Other Models in Complexity Descreaption

10.12737/3328 ◽  
2014 ◽  
Vol 21 (1) ◽  
pp. 138-141
Author(s):  
Еськов ◽  
Valeriy Eskov ◽  
Филатова ◽  
O. Filatova
Keyword(s):  
Phase Space ◽  
State Vector ◽  
Stochastic Systems ◽  
Chaotic Behavior ◽  
Future Generation ◽  
Self Organization ◽  
Stationary Mode ◽  
Initial State ◽  
Heisenberg Uncertainty Principle ◽  
The Third

The understanding of very special systems of third type was created according to W.Weaver efforts. The new theory of chaos – self- organization was created last 40 years and was based on other understanding of stationary mode of third type of systems and its very specific chaotic behavior. The analog of the systems with physical system was discussed too. The third type of systems (opposite of deterministic and stochastic systems) was presented. It was discussed the principle distinguishes between dynamics of such system and traditional systems according to Heisenberg uncertainty principle. Traditional systems have certain and reproducible initial state of its system’s state vector and we can predict its future states. But in the third type of systems the authors have uncertain initial system state and uncertain vector states. It is a unique system which I.R. Prigogine in his famous article to the future generation determines as systems behind the science. The time for researching of such systems has come. For the modeling of biosystems, the authors propose method of quasi-attractor and define five special properties of complex systems. The main of it is connected with uninterrupted chaotic movements (glimmering property) of system’s vector in phase space of state and evolution of such system’s state vector in phase space of state. It was demonstrated that Heizenberg principle of uncertainty has special analog at theory of chaos – self organization. The botton boarder of the left side of inequality for the systems of third type the authors propose the value of quasiattractors, inside of it we chaos uninferrupled and chaotic movements of systems state vector. The value of quasiattractor determine like multiplication of coordinat x its speed dx/dt.

Complex System Stationary Mode According to the Theory of Chaos-Self-Organization

10.12737/3329 ◽  
2014 ◽  
Vol 21 (1) ◽  
pp. 141-144
Author(s):  
Бикмухаметова ◽  
L. Bikmukhametova ◽  
Полухин ◽  
L. Polukhin ◽  
Вохмина ◽  
...  
Keyword(s):  
Phase Space ◽  
State Vector ◽  
Chaotic Dynamics ◽  
Main Idea ◽  
Self Organization ◽  
Stationary Mode ◽  
Cluster Approach ◽  
Classical Statistics ◽  
Complex Biosystems ◽  
Real Complex

Traditional biological science (biophysics, systems analyses of biosystems) stationary mode of biosystems describes according to equation dx/dt=0 for the systems state vector x=x(t)=(x1, x2,…xm)T. But real biosystems demonstrated uninterrupted chaotic dynamics when dx/dt≠0 is always uninterrupted. The authors present two types of approaches to stationary mode investigation for biosystems. The first approach is based on the compartmental-cluster theory and the second approach is based on the theory of chaos-self-organization. The last is more convenient for real biosystems description because there are pragmatic results of its use. The compartmental-cluster approach may be used for real complex biosystems and the authors present some typical examples of such theory. The stationary mode of hierarchical neural networks were illustrated according to specific audi - analyzator. It was demonstrated that short intervals of tremogram demonstrate the real difference of distribution function parameters. As a result of such experiments – the classical statistics methods don’t usefulness for investigation of postural tremor. The tremogram, cardiogram, encephalogram are the systems of third type. The main idea consists of uninterrupted chaotic movements (glimmering property) of system’s vector in phase space of state and evolution of such system’s state vector in phase space of state. The glimmering property and evolution don’t have properties which can be modeled by traditional deterministic and stochastic approaches.

Two types of approaches at personification medicine development

2015 ◽  
Vol 4 (1) ◽  
pp. 81-88
Author(s):  
Филатова ◽  
O. Filatova ◽  
Хадарцева ◽  
K. Khadartseva ◽  
Еськов ◽  
...  
Keyword(s):  
Phase Space ◽  
Medical Treatment ◽  
Basic Principle ◽  
State Vector ◽  
The State ◽  
Self Organization ◽  
Human Organism ◽  
Medicine Development ◽  
State Measurement

It is evident that requirement of medical personification includes two procedures: individual (with uninterrupted procedure of human organism state measurement) diagnostics and the second part which is connected with uninterrupted control of the efficiency of medical treatment and measurements of human organism parameters. According to classic deterministic-stochastic approaches we don´t have any possibility for realization of the basic principle in medicine because every human organism has its own specific features. We conduct the diagnostics according to beha-vior of state vector of human organism in phase space of states according to every coordinates of human´s state vector and with calculation of quasiattractors. It was presented new bioinformational methods and software for calculation of quasiattractors parameters for dissolving such contradic-tions between deterministic-stochastic medicine and the use of theory of chaos self-organization where the state vector of human organism demonstrates uninterrupted movements. The practical results of such procedure are also presented according to the theory of chaos self-organization.

Homeostasis and Evolution From the Standpoint of the Third Paradigm

2015 ◽  
Vol 22 (3) ◽  
pp. 33-39
Author(s):  
Филатова ◽  
O. Filatova ◽  
Еськов ◽  
Valeriy Eskov ◽  
Хадарцев ◽  
...  
Keyword(s):  
Heart Rate ◽  
Numerical Investigation ◽  
State Vector ◽  
Stationary Regime ◽  
Living System ◽  
Self Organization ◽  
New Paradigm ◽  
Statistical Function ◽  
The Third ◽  
New Interpretation

According to new theory of chaos - self organization if was presented new paradigm of homeostasis and evolution. Numerical investigation of tremor, miogram, encephalograms, heart-rate, etc. proved the simultaneously changing of experimental results as dx/dt=0 for the special human state vector x(t) for different interval of time At. The statistical function of x(t) -fix) present the simultaneously changing of/(x). So the homeostasis seems as a stationary regime when the parameters of quasi-attractor are not change. The authors present the new interpretation of homeostasis and evolution for special systems with special dynamic of living system (hymen lodi special). Then the first place take the x(t) parameters of such special third type of system.

Assessment of parameters state of neuromuscular cluster in the conditions of the dosed physical activity

10.12737/3860 ◽  
2014 ◽  
Vol 8 (1) ◽  
pp. 1-6
Author(s):  
Рассадина ◽  
Yu. Rassadina ◽  
Попов ◽  
Yuriy Popov ◽  
Карпин ◽  
...  
Keyword(s):  
Physical Activity ◽  
Control System ◽  
Phase Space ◽  
State Vector ◽  
Self Organization ◽  
Neuromuscular System ◽  
Two Dimensional ◽  
Practical Possibility ◽  
Dimensional Phase Space ◽  
State Vector Of System

Parameters of neuromuscular system at the unexercised and trained examinees from a position of the theory of chaos and self-organization are studied. Essential distinction between two studied groups (the trained and unexercised students) is established. Dynamics of involuntary micro-movements of extremities (fingers of hands) in a person as reaction to the dosed physical activity is shown in change of parameters of quasiattractors of characteristics of a tremor. Dynamics of increase in volumes of quasiattractors of a vector of organism state in the unexercised students is revealed. The new technique of research of a control system by movements of a person by means of the analysis of characteristics of a tremor of an extremity in the conditions of physical activity is stated. Practical possibility of application of the method of multidimensional phase spaces of involuntary micro-movement in the assessment of reaction of neuromuscular system of the person on dynamic physical activity is shown. As a measure of state of human neuromuscular system (to loading and after loading) the authors use the quasiattractors of movement of state vector of system in two-dimensional phase space of states.

The five principles of the functioning of complex systems, systems of the third type

2015 ◽  
Vol 9 (1) ◽  
pp. 0-0 ◽  
Author(s):  
Еськов ◽  
V. Eskov ◽  
Филатова ◽  
O. Filatova ◽  
Хадарцев ◽  
...  
Keyword(s):  
Phase Space ◽  
Complex Systems ◽  
Human Body ◽  
State Vector ◽  
Kinematics And Dynamics ◽  
Motion Trajectory ◽  
First Principle ◽  
Final State ◽  
The Third ◽  
Homogeneous Systems

The article is devoted to the basis of the five principles that characterize complex systems, systems of the third type. The authors provide the opportunities caused from the solutions of the equations of kinematics and dynamics. Uncertainty, unpredictability and uniqueness of complex systems, which include the human body, are demonstrated. The first principle, the postulate of synergetics, is associated with homogeneous systems in which the dynamics of the behavior of the system as a whole and not its individual elements, - is studied. The second principle of the organization of the systems of the third type - the glimmering property, - it is impossible to repeat the motion trajectory in phase space. This position is confirmed by the tremorogramm analysis. The third and fourth principles are evolution and teleological motion vectors of such systems to the final state, de-scribed not a point, but the area of phase space, quasi-attractor. The fifth property is the possibility of the output coordinates of the state vector to outside at 3, 10 and more Sigma, which ensures the survivability of biological systems.

An analysis of I.R. Prigogone and J.A. Wheeler’s views concerning emergency of biosystems from the perspective of the third paradigm

10.12737/7652 ◽  
2014 ◽  
Vol 3 (4) ◽  
pp. 47-62 ◽  
Author(s):  
Еськов ◽  
V. Eskov ◽  
Джумагалиева ◽  
L. Dzhumagalieva ◽  
Филатова ◽  
...  
Keyword(s):  
Deterministic Chaos ◽  
Modern Science ◽  
Main Property ◽  
Type Systems ◽  
Distribution Functions ◽  
Living Systems ◽  
Self Organization ◽  
Initial State ◽  
The Third ◽  
Emergent Systems

The main problem of modern science is pointed out: reality of specific three-type systems (TTS) that are usually presented as complexity, and simultaneously impossibility of a description of such systems by a traditional modern reducing approach. Studying properties of system elements cannot help in a description of a complex system itself – complexity (three-type systems, living systems). Hence there arises an acute need in creation of new theories which would operate with maximum uncertainty and unpredictability and provide modeling TTS. The first step in this direction was taken on the grounds of a creation of theory of chaos and self-organization (TCS), according to which complexity cannot repeat an initial state of a system (or a vector parameters x(t0)), measures are not invariant, autocorrelation functions do not converge to zero and Lyapunov exponents are not positive. Chaos of TTS differs from a deterministic chaos and statistical distribution functions f(x) are not appropriate to describe it, because they continuously change. Deterministic, stochastic and chaotic models cannot describe TTS. This is the main property of emergent systems (complexity, TTS), therefore they are described by quasi-attractors.

Monte Carlo Algorithms for Moments of Transition Arrays

1988 ◽  
Vol 102 ◽  
pp. 79-81
Author(s):  
A. Goldberg ◽  
S.D. Bloom
Keyword(s):  
Monte Carlo ◽  
State Vector ◽  
Basis Vector ◽  
Collective State ◽  
Dispersion Characteristics ◽  
Dipole Strength ◽  
The Third ◽  
Monte Carlo Algorithms ◽  
Third Moment ◽  
Very High

AbstractClosed expressions for the first, second, and (in some cases) the third moment of atomic transition arrays now exist. Recently a method has been developed for getting to very high moments (up to the 12th and beyond) in cases where a “collective” state-vector (i.e. a state-vector containing the entire electric dipole strength) can be created from each eigenstate in the parent configuration. Both of these approaches give exact results. Herein we describe astatistical(or Monte Carlo) approach which requires onlyonerepresentative state-vector |RV> for the entire parent manifold to get estimates of transition moments of high order. The representation is achieved through the random amplitudes associated with each basis vector making up |RV>. This also gives rise to the dispersion characterizing the method, which has been applied to a system (in the M shell) with≈250,000 lines where we have calculated up to the 5th moment. It turns out that the dispersion in the moments decreases with the size of the manifold, making its application to very big systems statistically advantageous. A discussion of the method and these dispersion characteristics will be presented.

The Tangled Tale of Phase Space

2018 ◽  
Author(s):  
David D. Nolte
Keyword(s):  
Phase Space ◽  
Chaotic Behavior ◽  
Three Body Problem ◽  
Henri Poincaré ◽  
History Of ◽  
The Stability ◽  
Three Body ◽  
Space Phase ◽  
Central Paradigm ◽  
System Phase

This chapter presents the history of the development of the concept of phase space. Phase space is the central visualization tool used today to study complex systems. The chapter describes the origins of phase space with the work of Joseph Liouville and Carl Jacobi that was later refined by Ludwig Boltzmann and Rudolf Clausius in their attempts to define and explain the subtle concept of entropy. The turning point in the history of phase space was when Henri Poincaré used phase space to solve the three-body problem, uncovering chaotic behavior in his quest to answer questions on the stability of the solar system. Phase space was established as the central paradigm of statistical mechanics by JW Gibbs and Paul Ehrenfest.

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