scholarly journals Study of the effectiveness of different approaches to the constructionthe space-time mathematical modeling motions of mobile objects.

2014 ◽  
Vol 2014 (1) ◽  
pp. 79-86
Author(s):  
Василий Гулаков ◽  
Vasiliy Gulakov ◽  
Евгений Трубаков ◽  
Evgeniy Trubakov

This paper describes general approach to the space-time mathematical model in motions of mobile objects. The efficacy and performance of these approaches in monitoring system and basic algorithms were investigated. The choice of modeling approach motion trajectories for some initial conditions was proved

2019 ◽  
pp. 1-2
Author(s):  
Volynsli R. I. ◽  
Gulko N.

Chaotic solutions of the driven Dufng equation are very important and interesting for researchers in different areas. In many cases chaos has negative effect on complicated processes As we know, chaotic solution means that a small change in one state of a deterministic nonlinear system can result in large differences in a later state, meaning there is sensitive dependence on initial conditions. It happens in electric circuits, economics, meteorology and in the electrophysiology of the heart. Therefore the aim of the present paper to give a new insight on the chaos mitigation by shock.. It was found in the present work by means of the mathematical modeling that the shock-term indeed can mitigate chaos produced in the driven Dufng equation.


1969 ◽  
Vol 6 (1) ◽  
pp. 40-47 ◽  
Author(s):  
Glen L. Urban

Interdependencies among brands in a firm's product line should be considered when marketing strategies are formulated. This article develops a mathematical model of the interaction among products for normative strategy recommendations. An empirical example applying the a priori model to a product line decision suggests that the model prespecification is relevant and useful.


Author(s):  
Valery А. Gruzdev ◽  
◽  
Georgy V. Mosolov ◽  
Ekaterina A. Sabayda ◽  
◽  
...  

In order to determine the possibility of using the method of mathematical modeling for making long-term forecasts of channel deformations of trunk line underwater crossing (TLUC) through water obstacles, a methodology for performing and analyzing the results of mathematical modeling of channel deformations in the TLUC zone across the Kuban River is considered. Within the framework of the work, the following tasks were solved: 1) the format and composition of the initial data necessary for mathematical modeling were determined; 2) the procedure for assigning the boundaries of the computational domain of the model was considered, the computational domain was broken down into the computational grid, the zoning of the computational domain was performed by the value of the roughness coefficient; 3) the analysis of the results of modeling the water flow was carried out without taking the bottom deformations into account, as well as modeling the bottom deformations, the specifics of the verification and calibration calculations were determined to build a reliable mathematical model; 4) considered the possibility of using the method of mathematical modeling to check the stability of the bottom in the area of TLUC in the presence of man-made dumping or protective structure. It has been established that modeling the flow hydraulics and structure of currents, making short-term forecasts of local high-altitude reshaping of the bottom, determining the tendencies of erosion and accumulation of sediments upstream and downstream of protective structures are applicable for predicting channel deformations in the zone of the TLUC. In all these cases, it is mandatory to have materials from engineering-hydro-meteorological and engineering-geological surveys in an amount sufficient to compile a reliable mathematical model.


2011 ◽  
Vol 30 (2) ◽  
pp. 408-411
Author(s):  
Min Li ◽  
Min Lin ◽  
Zheng-quan Gong ◽  
Run-lan Peng ◽  
De-xiang Li

2017 ◽  
Vol 992 (4) ◽  
pp. 32-38 ◽  
Author(s):  
E.G. Voronin

The article opens a cycle of three consecutive publications dedicated to the phenomenon of the displacement of the same points in overlapping scans obtained adjacent CCD matrices with opto-electronic imagery. This phenomenon was noticed by other authors, but the proposed explanation for the origin of displacements and the resulting estimates are insufficient, and developed their solutions seem controversial from the point of view of recovery of the measuring accuracy of opticalelectronic space images, determined by the physical laws of their formation. In the first article the mathematical modeling of the expected displacements based on the design features of a scanning opto-electronic imaging equipment. It is shown that actual bias cannot be forecast, because they include additional terms, which may be gross, systematic and random values. The proposed algorithm for computing the most probable values of the additional displacement and ways to address some of the systematic components of these displacements in a mathematical model of optical-electronic remote sensing.


Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 705
Author(s):  
Fatemeh Rasouli ◽  
Kyle B. Reed

Dynamic models, such as double pendulums, can generate similar dynamics as human limbs. They are versatile tools for simulating and analyzing the human walking cycle and performance under various conditions. They include multiple links, hinges, and masses that represent physical parameters of a limb or an assistive device. This study develops a mathematical model of dissimilar double pendulums that mimics human walking with unilateral gait impairment and establishes identical dynamics between asymmetric limbs. It introduces new coefficients that create biomechanical equivalence between two sides of an asymmetric gait. The numerical solution demonstrates that dissimilar double pendulums can have symmetric kinematic and kinetic outcomes. Parallel solutions with different physical parameters but similar biomechanical coefficients enable interchangeable designs that could be incorporated into gait rehabilitation treatments or alternative prosthetic and ambulatory assistive devices.


2021 ◽  
pp. 107140
Author(s):  
Iulia Martina Bulai ◽  
Ana Cristina Esteves ◽  
Fernanda Lima ◽  
Ezio Venturino

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