Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
50
5
2018
Layering O+(E3) as Configuration Space while Modeling Rigid Body
1-10
10.1615/JAutomatInfScien.v50.i5.10
Sergey I.
Lyashko
Taras Shevchenko National University of
Kiev
Stanislav S.
Zub
Kiev National Taras Shevchenko University, Kiev
Victor S.
Lyashko
P.L. Shupyk National Medical Academy of Postgraduate Education, Kiev
Nataliya I.
Lyashko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Andrey Yu.
Chernyavskiy
N.E. Zhukovskiy National Aerospace University "Kharkov Aviation Institute", Kharkov
rigid body
modeling
layering orthonormal oriented triads
natural configuration space
Poisson reduction of the phase space
symmetrical top
geometric meaning.
It is known that the position of a solid body is uniquely determined if it is given orthonormal triad, which is rigidly connected with the body. It is also logical to assume that the origin of this movable reference coordinate system is located in the center of mass of the body, and the unit vectors have directions of the main axes of inertia of the body, therefore, the layering O+(E3) of orthonormal oriented triads over the three-dimensional Euclidean space E3 is a natural configuration space of a rigid body. In this approach, the Poisson reduction of the phase space of a solid body to symmetrical top has a clear geometric meaning.
Neural Network Approximation of Nonlinear Noisy Functions Based on Coevolutionary Cooperative-Competitive Approach
11-21
10.1615/JAutomatInfScien.v50.i5.20
Oleg G.
Rudenko
Kharkov National University of Radio and
Electronics, Kharkov
Alexander A.
Bezsonov
Kharkov National University of Radio and
Electronics, Kharkov
evolutionary algorithms
neural network approximation
nonlinear noisy functions
coevolutionary model
An evolutionary algorithm for approximating nonlinear noisy functions based on coevolutionary models of cooperation and competition is proposed. This algorithm implements an environment that is conductive to cooperation and competition of populations in which each individual is a feedforward neural network that solves a specific problem. It is proposed to use populations of universal approximators for the studied function approximation and to introduce an additional population of denoising autoencoders for a possible noise reduction. The simulation results confirm the effectiveness of the proposed method of nonlinear noisy functions approximation.
Comparative Modeling of Two Special Scenarios of Extreme Dynamics in Forest Ecosystems: Psillides in Australia and Spruce Budworm Moth in Canada
22-33
10.1615/JAutomatInfScien.v50.i5.30
Andrey Yu.
Perevaryukha
Saint Petersburg Institute for Informatics
and Automation of Russian Academy of
Sciences, Saint Petersburg (Russia)
forest ecosystems
extreme dynamics
comparative modeling
psillides in Australia
spruce budwarm moth in Canada
critical states of quantity
explosive reproductions
damage to the forest industry.
Critical states of quantity remain outside the framework of classical methods of mathematical modeling in ecology. Outbreaks disrupt the idea of a species balance with the environment, the hypothesis of competition between individuals of one population and a decrease in reproduction efficiency with increasing density. In modern conditions, the extreme dynamics of populations take place more often due to the penetration of alien species into ecosystems and expansion of its areal. Explosive reproductions cause serious damage to the forest industry and can even irreversibly transform the environment. By the method of comparative analysis of situations, it is considered two scenarios of rapid, but spontaneously damped outbreaks of forest pests. For the dynamics of psyllides in the forests of Australia, a hybrid model with transition to chaotic fluctuations is proposed. Spruce budworm moth Choristoneura fumiferana in Canada is characterized by a series of damped peaks. The proposed model in the form of equations with delay describes the scenario of damped sharp oscillations, which has
a more general character. A similar dynamics can be traced for invasive ctenophore Mnemiopsis leidyi in the Caspian Sea and even in the dynamics of the epidemic of the "Spanish flu" a century ago, according to mortality in the UK. The scenarios considered in new computing models are transitional processes in the interaction of the species with its biotic environment.
Approximation of Functions Holding the Lipschitz Conditions on a Finite Segment of the Real Axis by the Poisson–Chebyshev Integrals
34-48
10.1615/JAutomatInfScien.v50.i5.40
Tatyana V.
Zhyhallo
Lesya Ukrainka Eastern European National University, Lutsk
approximation properties
Poisson–Chebyshev integrals
classes of the Lipschitz functions
segment of the real axis
asymptotic estimates
upper limit of the function deviation
Approximation properties of the Poisson–Chebyshev integrals are studied on the classes of the Lipschitz functions, given on a segment of the real axis. Solutions of the mentioned problem are used in the problems of the theory of conservation, retrieval, and transmission of information (global searching systems in the Internet), in the theory of prediction and decision-making, conflict-controlled processes, etc. Asymptotic estimates of the upper limits of the functions deviation holding the Lipschitz condition on a finite segment of the real axis are obtained by the Poisson–Chebyshev integrals.
Mathematical Models of Functional Self Organization of Human Respiratory System with Change in Hormonal Status of Organism
49-59
10.1615/JAutomatInfScien.v50.i5.50
Natalya I.
Aralova
V.M. Glushkov Institute of Cybernetics of
National Academy of Sciences of Ukraine,
Kiev
Larisa Ya.-G.
Shakhlina
National University of Physical Education and Sports of Ukraine, Kiev
sportswomen respiratory system
hormonal status of organism
low oxygen content
cyclic change of hormone concentration.
Using the mathematical model of respiratory gasses mass transfer in an organism with an optimal control there was studied a dependence of compensatory reactions of sportswomen functional respiratory system on a hormonal status of their organism when inhaling a gas mixture with a low oxygen content. The obtained results indicated to the fact that while planning a training process and competition activity of sportswomen it is necessary to take into account features of adaptation to a hypobaric environment during cyclic changes of sex hormones concentration in their organism.
Fuzzy Method for Evaluating Commercial Projects of Different Origin
60-73
10.1615/JAutomatInfScien.v50.i5.60
Vladimir V.
Polishchuk
Uzhgorod National University, Uzhgorod
fuzzy methods
commercial projects
evaluation objectivity
investments decision.
Consideration was given to the actual task of developing a fuzzy method for evaluating commercial projects of various origin aimed at determining the most promising for investments. This technique increases the evaluation objectivity, reveals uncertainty of input data, provides an opportunity of adequate approach to projects consideration with increased degree of validity of investment decisions.