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.

Age Evolution of Human Body as a Quasi-Attractor’s Motion

10.12737/7260 ◽  
2014 ◽  
Vol 21 (4) ◽  
pp. 11-20
Author(s):  
Горленко ◽  
N. Gorlenko ◽  
Гараева ◽  
G. Garaeva ◽  
Ватамова ◽  
...  
Keyword(s):  
Phase Space ◽  
Human Body ◽  
State Vector ◽  
Translational Motion ◽  
Two Dimensional ◽  
Cardiorespiratory System ◽  
Age Related ◽  
Dimensional Phase Space ◽  
Evolving System ◽  
Age Related Changes

Today the formalization of the description of the evolving system doesn’t exist in biology. But if a biosystem is described by a state vector x=x(t)=(x1, x2, …, xm)T in multidimensional phase space, notions of speed and acceleration for the description of quasi-attractor’s motion can be introduced. Vector x(t) moves constantly and chaotically inside the quasi-attractor, i.e. dx/dt≠0 is constant. With age these quasi-attractors show translational motion in phase space for which the model as an dx/dt=(a-bx)x is created and speed V=dx/dt and acceleration a=dV/dt are determined for evolution of biosystems. The current paper presents concrete examples of age-related changes of quasi-attractor’s parameters (two-dimensional phase space) that should be considered as an evolution of vector of cardiorespiratory system in six-dimensional phase space. Models of such dynamics are discussed according to quasi-attractor’s parameters that allow to calculating speed and acceleration of evolution in some integrative values.

scholarly journals CONTROL SYSTEM DEPENDING ON A PARAMETER

2021 ◽  
Vol 7 (1) ◽  
pp. 120
Author(s):  
Vladimir N. Ushakov ◽  
Aleksandr A. Ershov ◽  
Andrey V. Ushakov ◽  
Oleg A. Kuvshinov
Keyword(s):  
Control System ◽  
Phase Space ◽  
Specific Problem ◽  
Dimensional Euclidean Space ◽  
Time Interval ◽  
Two Dimensional ◽  
Finite Time Interval ◽  
Finite Dimensional ◽  
Dimensional Phase Space ◽  
Target Set

A nonlinear control system depending on a parameter is considered in a finite-dimensional Euclidean space and on a finite time interval. The dependence on the parameter of the reachable sets and integral funnels of the corresponding differential inclusion system is studied. Under certain conditions on the control system, the degree of this dependence on the parameter is estimated. Problems of targeting integral funnels to a target set in the presence of an obstacle in strict and soft settings are considered. An algorithm for the numerical solution of this problem in the soft setting has been developed. An estimate of the error of the developed algorithm is obtained. An example of solving a specific problem for a control system in a two-dimensional phase space is given.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

scholarly journals Effects of Vegetation and Topography on the Boundary Layer Structure above the Amazon Forest

2020 ◽  
Vol 77 (8) ◽  
pp. 2941-2957
Author(s):  
Marcelo Chamecki ◽  
Livia S. Freire ◽  
Nelson L. Dias ◽  
Bicheng Chen ◽  
Cléo Quaresma Dias-Junior ◽  
...  
Keyword(s):  
Boundary Layer ◽  
Phase Space ◽  
Vertical Structure ◽  
Layer Structure ◽  
Roughness Sublayer ◽  
Large Contribution ◽  
Amazon Forest ◽  
Two Dimensional ◽  
Dimensional Phase Space ◽  
Field Campaigns

Abstract Observational data from two field campaigns in the Amazon forest were used to study the vertical structure of turbulence above the forest. The analysis was performed using the reduced turbulent kinetic energy (TKE) budget and its associated two-dimensional phase space. Results revealed the existence of two regions within the roughness sublayer in which the TKE budget cannot be explained by the canonical flat-terrain TKE budgets in the canopy roughness sublayer or in the lower portion of the convective ABL. Data analysis also suggested that deviations from horizontal homogeneity have a large contribution to the TKE budget. Results from LES of a model canopy over idealized topography presented similar features, leading to the conclusion that flow distortions caused by topography are responsible for the observed features in the TKE budget. These results support the conclusion that the boundary layer above the Amazon forest is strongly impacted by the gentle topography underneath.

An Investigation on Damage Detection in Aircrafts Panels Using Nonlinear Time Series Analysis

2007 ◽  
Vol 347 ◽  
pp. 213-218 ◽  
Author(s):  
Irina Trendafilova ◽  
Emil Manoach ◽  
Matthew P. Cartmell ◽  
Wiesław M. Ostachowicz ◽  
Arkadiusz Zak
Keyword(s):  
Phase Space ◽  
Vibration Response ◽  
Fe Model ◽  
Two Dimensional ◽  
Orthotropic Plates ◽  
Fe Modelling ◽  
Dimensional Phase Space ◽  
Damage States ◽  
Low Sensitivity ◽  
Aircraft Panels

This study investigates a possibility for representing, interpreting and visualising the vibration response of aircraft panels using time domain measurements. The aircraft panels are modelled as thin orthotropic plates and their vibration response is simulated using FE modelling. The vibration response of a thin aluminium panel is simulated using FE modelling. The first ten resonant frequencies are estimated for the FE model and for the dynamically tested panel. They were found to show somewhat low sensitivity to damage. Then the simulated vibration response of the panel is transformed and expanded in a new phase space. This presents an alternative way to study and analyse the dynamics of a structure. A two dimensional phase space is used in this investigation. Thus instead of studying the single dimension measured vibration characteristics one is faced with expanded two dimensional variables which can be visualised and this facilitates the comparison between the damaged and the non-damage states.

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.

scholarly journals PLANAR SYSTEM AND w∞ ALGEBRA

2005 ◽  
Vol 20 (37) ◽  
pp. 2861-2871 ◽  
Author(s):  
JAMILA DOUARI
Keyword(s):  
Phase Space ◽  
Heisenberg Algebra ◽  
Two Dimensional ◽  
Planar System ◽  
Exotic Particles ◽  
Dimensional Phase Space

We study the exotic particles symmetry in the background of noncommutative two-dimensional phase-space leading to realize in physics the deformed version of Cλ-extended Heisenberg algebra and ω∞ symmetry.

scholarly journals CANONICAL TRANSFORMATIONS IN THREE-DIMENSIONAL PHASE-SPACE

2009 ◽  
Vol 24 (25n26) ◽  
pp. 4769-4788 ◽  
Author(s):  
TEKİN DERELİ ◽  
ADNAN TEĞMEN ◽  
TUĞRUL HAKİOĞLU
Keyword(s):  
Phase Space ◽  
Canonical Transformation ◽  
Generating Functions ◽  
General Framework ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Canonical Transformations ◽  
Dimensional Phase Space ◽  
Nambu Bracket ◽  
Definition Of

Canonical transformation in a three-dimensional phase-space endowed with Nambu bracket is discussed in a general framework. Definition of the canonical transformations is constructed based on canonoid transformations. It is shown that generating functions, transformed Hamilton functions and the transformation itself for given generating functions can be determined by solving Pfaffian differential equations corresponding to that quantities. Types of the generating functions are introduced and all of them are listed. Infinitesimal canonical transformations are also discussed. Finally, we show that the decomposition of canonical transformations is also possible in three-dimensional phase space as in the usual two-dimensional one.

Sign in / Sign up

Export Citation Format

Share Document