scholarly journals Statistical mechanics with non-integrable topological constraints: Self-organization in knotted phase space

2020 ◽  
Vol 61 (10) ◽  
pp. 103304
Author(s):  
Naoki Sato
Keyword(s):  
Phase Space ◽  
Statistical Mechanics ◽  
Self Organization ◽  
Topological Constraints

scholarly journals Magnetic Helicity and the Solar Dynamo

Entropy ◽  
2019 ◽  
Vol 21 (8) ◽  
pp. 811
Author(s):  
John V. Shebalin
Keyword(s):  
Statistical Mechanics ◽  
Spherical Shell ◽  
Turbulent Energy ◽  
Self Organization ◽  
Magnetic Helicity ◽  
Mhd Turbulence ◽  
Dynamo Action ◽  
Inherent Property ◽  
Thin Spherical Shell ◽  
Macroscopic Parameters

Solar magnetism is believed to originate through dynamo action in the tachocline. Statistical mechanics, in turn, tells us that dynamo action is an inherent property of magnetohydrodynamic (MHD) turbulence, depending essentially on magnetic helicity. Here, we model the tachocline as a rotating, thin spherical shell containing MHD turbulence. Using this model, we find an expression for the entropy and from this develop the thermodynamics of MHD turbulence. This allows us to introduce the macroscopic parameters that affect magnetic self-organization and dynamo action, parameters that include magnetic helicity, as well as tachocline thickness and turbulent energy.

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.

Analysis of Myograms Acording to the Stochastics and the Chaos Theory – Self-Organization

2015 ◽  
Vol 22 (2) ◽  
pp. 32-38
Author(s):  
Григоренко ◽  
V. Grigorenko ◽  
Горбунов ◽  
D. Gorbunov ◽  
Еськов ◽  
...  
Keyword(s):  
Phase Space ◽  
Shannon Entropy ◽  
Chaos Theory ◽  
The State ◽  
Biomechanical Analysis ◽  
Self Organization ◽  
Biological Research ◽  
Dimensional Phase Space ◽  
Low Load ◽  
Little Finger

The paper shows the feasibility of applying the method of multi-dimensional phase space as a quantitative measure for the evaluation of chaotic dynamics on the example of the muscles (flexor of the little finger). The method of multi-dimensional phase space was used. In the study and modeling of complex biological objects (complexity) there is the possibility of introducing traditional physical methods in biological research and new methods based on the chaos theory and self-organization. As a measure of the state of the neuromuscular system of the person (weak muscle tension and strong, almost the maximum force), the authors used quasi-attractors volumes of multidimensional phase space. This enables identification of the actual measurements of the parameters of the functional state with weak muscles (Fi = 5 daN) and strong (Fi = 10 daN) static stress. The authors built a timebase signal received from the electromyograph and the autocorrelation function A(t) of signal. A biomechanical analysis of the state of the system is carried out on the basis of comparison of the volume VG quasi attractor, as well as on the basis of the analysis of the Shannon entropy E. Volume of quasi attractor VG displacements under low load is slightly less than the same volume displacement VG with strong exertion of the muscles of the flexor of the little finger, exactly the same as the values of the Shannon entropy under a heavy load increases compared to the values obtained under low load the muscles.

Methods of chaos and self-organization in psychophysiology

10.12737/3394 ◽  
2014 ◽  
Vol 3 (1) ◽  
pp. 13-28
Author(s):  
Поскина ◽  
T. Poskina ◽  
Филатова ◽  
D. Filatova ◽  
Филатов ◽  
...  
Keyword(s):  
Phase Space ◽  
Dynamic System ◽  
Dynamic Systems ◽  
Self Organization ◽  
Deterministic Approach ◽  
System Behavior ◽  
System Parameters ◽  
A Value ◽  
Identification Theory

. All the H. Haken’s postulates (1970-2013) emphasize deterministic approach and level a value of trajectory of behavior of biological dynamic system in phase space of states. The significance of the latter theory is hard to overestimate, because according to phase space of states the new identification theory is being created and behavioral descriptions of biological dynamic systems are given. This new theory is based on measures of biological dynamic system parameters in phase space of states and does not need any concrete equations, it can be based on detection of quasi-attractors’ parameters of biological dynamic system behavior in phase space of states and characters are quasi-attractor parameters.

Possibilities of stochastic processing of system parameters with chaotic dynamics

10.12737/5519 ◽  
2014 ◽  
Vol 3 (2) ◽  
pp. 59-67
Author(s):  
Берестин ◽  
D. Berestin ◽  
Попов ◽  
Yuriy Popov ◽  
Вохмина ◽  
...  
Keyword(s):  
Phase Space ◽  
General Population ◽  
Chaotic Dynamics ◽  
Estimation Method ◽  
Pairwise Comparison ◽  
Wilcoxon Test ◽  
Self Organization ◽  
Postural Tremor ◽  
System Parameters ◽  
Stochastic Processing

The paper presents the first attempt to combine methods of stochastics (mathematical statistics) and methods of theory of chaos and self-organization for studying such complex (chaotic) processes as postural tremor. It was established that when re-registering tremor in each subject by n=15 or n=30 obtained tremorograms do not exhibit normal distribution, and non-parametric distributions show distinctions at pairwise comparison on Wilcoxon test (only 2 or 3 pairs from 210 may belong to the same general population). Static physical load sharply changes this picture and the number of such ("similar") pairs increases. The estimation method for effect of a load on tremor is proposed. Simultaneously, within calculating quasi-attractors there is a clear picture of division of chaotic dynamics of tremor parameters with load and without load. Prospects of a new method application in physiological measurements are discussed. Limited method of stochas- tics in description of complexity is underlined, and necessity of calculation quasi-attractor´s parameters in phase space of state is proved.

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