CLASSIFICATION DYNAMICS OF TWO-DIMENSIONAL CHAINS OF EVOLUTION ALGEBRAS

2014 ◽  
Vol 25 (02) ◽  
pp. 1450012 ◽  
Author(s):  
SH. N. MURODOV
Keyword(s):  
Dynamical System ◽  
The State ◽  
Two Dimensional ◽  
Evolution Algebra

Recently by Casas et al. a notion of chain of evolution algebras (CEAs) is introduced. This chain is a dynamical system the state of which at each given time is an evolution algebra. It is known 25 distinct classes of chains of two-dimensional evolution algebras. In our previous paper we gave the classification of two-dimensional real evolution algebras. This classification contains seven (pairwise non-isomorphic) such algebras. For each known CEA we study its dynamics to be an element of a given class.

Integrable two-dimensional dynamical systems and the characteristic Lie algebras

2007 ◽  
Vol 5 ◽  
pp. 195-200
Author(s):  
A.V. Zhiber ◽  
O.S. Kostrigina
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Second Order ◽  
System Of Equations ◽  
Two Dimensional ◽  
Finite Dimensional ◽  
Dimensional Dynamical System

In the paper it is shown that the two-dimensional dynamical system of equations is Darboux integrable if and only if its characteristic Lie algebra is finite-dimensional. The class of systems having a full set of fist and second order integrals is described.

On the Classification of Fractal and Non-Fractal Objects in Two-Dimensional Space

2020 ◽  
Vol 14 (6) ◽  
pp. 1232-1239
Author(s):  
P. M. Pustovoit ◽  
E. G. Yashina ◽  
K. A. Pshenichnyi ◽  
S. V. Grigoriev
Keyword(s):  
Dimensional Space ◽  
Two Dimensional

Medico-Social Examination: the Modern Aspects of Legal Regulation

10.12737/5942 ◽  
2014 ◽  
Vol 8 (1) ◽  
pp. 1-6
Author(s):  
Разиньков ◽  
D. Razinkov ◽  
Михайлов ◽  
I. Mikhaylov ◽  
Михайлова ◽  
...  
Keyword(s):  
Legal Regulation ◽  
The State ◽  
Government Support ◽  
Sociological Research ◽  
Constitutional Rights ◽  
Disabled People ◽  
Government Programs ◽  
Social Sphere ◽  
Traditional Classification

In article the legislative base, which is the foundation of functioning of the state system of medical-social examination, is considered and analyzed. The questions of legal regulation of the state activity in the sphere of social policy concerning disabled people are discussed. The methods of sociological research and logical analysis of literature and official normatively-legal papers, being the basis of activity of the system of medico-social examination and sphere of giving to the invalids the equal with other citizens possibilities in realization of constitutional rights and freedoms, public welfare and establishment, are applied to the invalids as the measures of government support. In conclusions the emphasis is placed on need of carrying out radical restructurings for system of medico-social examination. It is offered to modify the existing classification of indexes of health and indexes, related to the health taking into account the socio-economic, climatic and other features; to strength the control of execution of government programs in the medico-social sphere; to modify the traditional classification of groups of disability; to change a way of features accounting of disabled people with various functional violations proceeding from a complex assessment of dysfunction of the neuro-physiological and psycho-physiological statuses; to use the innovative technologies of diagnostics, treatment, rehabilitation in correction of the functional violations with taking in mind not only the nosologic group of disease, but by an individual approach.

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