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Параметры квазиаттракторов в оценке стационарных режимов биологических динамических систем с позиций компартментно-кластерного подхода

Параметры квазиаттракторов в оценке стационарных режимов биологических динамических систем с позиций компартментно-кластерного подхода

Abstract

В рамках компартментно-кластерного подхода возникает возможность построения адекватных математических моделей, которые могут представлять сразу несколько типов якобы стационарных режимов биомеханических систем: в рамках традиционного детерминистского подхода, когда для вектора состояния биомеханической системы х=х(t)=(х1, x2,..., Xm) T мы имеем равенство dx/dt=0 и Xi=const и в рамках новой теории хаоса самоорганизации, когда постоянно dx/dt ≠ 0, но при этом движение вектора состояния системы может происходить в пределах ограниченных, объемов фазового пространства состояний Vg. В настоящем сообщении представлено сравнение произвольных движений человека под действием алкогольного напитка с моделируемыми сигналами при заданном внешнем управляющем воздействии (Ud=60 у.е.), но при этом использовались различные значения коэффициента диссипации (b=1,1; b-3,4). Было проведено сравнение полученных показателей и сделаны выводы о воздействии коэффициента диссипации на размеры площади квазиаттрактора, по которым можно судить о том, в каком состоянии пребывает биологическая динамическая система (организм человека).

In the framework of the compartmentae-cluster approach there is possibility of constructing adequate mathematical models that may be of several types supposedly stationary modes of biomechanical systems: in the traditional deterministic approach, when the state vector of the biomechanical system have equal value and in the framework of the new theory of chaos and selforganization, when system state vector x=x(t)=const. The vector can occur within a bounded volume of the phase space of states. The message signals presented arbitrary human motion under the influence of an alcoholic beverage and the simulated signals for a given external exposure control (Ud=60 у.е.) was compared. Different values of the damping coefficient (b=1,1; b 3,4) present the normal and unnormal state of human body. A comparison was made, the resulting figures and draw conclusions about the impact of damping coefficient on the size of the area of quasi-attractor. Present the state of the biological dynamical system (the human body) under alcohol effect and in normal state.

Keywords

КОМПАРТМЕНТНО-КЛАСТЕРНЫЙ ПОДХОД, ВЕКТОР СОСТОЯНИЯ СИСТЕМЫ, МОДЕЛИРОВАНИЕ, КОЭФФИЦИЕНТ ДИССИПАЦИИ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze