Solutions of Momentum Chains for the Transport Equation and their Approximations
A linear infinite-dimensional mathematical model of a hierarchical system is considered in which there is a sequential excitation transfer from the upper to the lower levels and where the phenomenon of filling levels in finite time is possible, which is typical of explosive processes. A substantiated model of simulation modeling is suggested and test calculations are performed
The influence of different forms of housing cryobot speed and efficiency of movement them into the ice structures. The problems of cryobot to study the ice surface in Europe
In this paper, we would like to suggest the algorithm of optoelectronic devices’ thermal working modes providing method. It solves the problem of gaining the projected working accuracy in high heat load including internal heat release on electronic components of printed circuit assemblies and optical part of optoelectronic device – the problem that is often faced by optoelectronic devices’ designers. We focus on implementation of this method in Zeeman-based frequency biasing laser gyroscope also known as Zeeman laser gyroscope. Below was given the example of the electronic assembly/component thermal model testing and Zeeman laser gyroscope thermal model was built. Note that the using method is applicable not only for Zeeman laser gyroscope but also for vast variety of optoelectronic devices. Implementation of this method in optoelectronic devices’ design allows us to get system approach and improve reliability and working accuracy to required levels.
This aim of this paper is the interpretation of the results of mechanical testing of materials to determine their properties under hot deformation. As an example, a simulation of rod stretching in superplasticity mode was considered. Comparing obtained data with the analytical solution was conducted.
We discuss the materials associated with the formation of chaotic bands on the ice surface on Europe, a satellite of Jupiter. There are suggestions as to their origin.
Analytically and numerically calculations according to the original effective algorithms for largescale acoustic-gravity wave perturbations in the chromosphere from sources at the level of the photosphere are analyzed. Limitations to the energy flux of acoustic-gravity waves from the photosphere through the chromosphere are formulated. Structure of a narrow region with elevated pressure at the resonance altitude where the horizontal phase wave velocity is equal to the sound velocity is examined.
A model for organizing cargo transportation between two node stations connected by a railway line which contains a certain number of intermediate stations is considered. The movement of cargo is in one direction. Such a situation may occur, for example, if one of the node stations is located in a region which produce raw material for manufacturing industry located in another region, and there is another node station. The organization of freight traﬃc is performed by means of a number of technologies. These technologies determine the rules for taking on cargo at the initial node station, the rules of interaction between neighboring stations, as well as the rule of distribution of cargo to the ﬁnal node stations. The process of cargo transportation is followed by the set rule of control. For such a model, one must determine possible modes of cargo transportation and describe their properties. This model is described by a ﬁnite-dimensional system of diﬀerential equations with nonlocal linear restrictions. The class of the solution satisfying nonlocal linear restrictions is extremely narrow. It results in the need for the “correct” extension of solutions of a system of diﬀerential equations to a class of quasi-solutions having the distinctive feature of gaps in a countable number of points. It was possible numerically using the Runge–Kutta method of the fourth order to build these quasi-solutions and determine their rate of growth. Let us note that in the technical plan the main complexity consisted in obtaining quasi-solutions satisfying the nonlocal linear restrictions. Furthermore, we investigated the dependence of quasi-solutions and, in particular, sizes of gaps (jumps) of solutions on a number of parameters of the model characterizing a rule of control, technologies for transportation of cargo and intensity of giving of cargo on a node station.
This proceedings publication is a compilation of selected contributions from the “Third International Conference on the Dynamics of Information Systems” which took place at the University of Florida, Gainesville, February 16–18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and academia in order to exchange new discoveries and results in a broad range of topics relevant to the theory and practice of dynamics of information systems. Dynamics of Information Systems: Mathematical Foundation presents state-of-the art research and is intended for graduate students and researchers interested in some of the most recent discoveries in information theory and dynamical systems. Scientists in other disciplines may also benefit from the applications of new developments to their own area of study.