No 2 (2009)

Cover Page
Articles
On Stability of Sattellite's Elliptical Orbit Motion for Cylindrical Precession of Lunar Type Resonance
Churkina T.E.
Abstract
Stability of satellites elliptical orbit motion in the case of the cylindrical precession at Lunar type resonance is under investigation. Stability regions at first approximation have been obtained in the space of parameters of the problem (inertial parameter and eccentricity). Nonlinear analysis is carried out in these regions. Analytical and numerical methods are used.
Discrete and Continuous Models and Applied Computational Science. 2009;(2):5-13
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Complete Foliations with Transverse Rigid Geometries and Their Basic Automorphisms
Zhukova N.I.
Abstract
The notion of rigid geometry is introduced. Rigid geometries include Cartan geometries as well as rigid geometric structures in the sense of Gromov. Foliations with transverse rigid geometries are investigated. An invariant g0 of a foliation with transverse rigid geometry, being a Lie algebra, is introduced. We prove that if, for some foliation with transverse rigid geometry, g0 is zero, then there exists a unique Lie group structure on its full basic automorphism group. Some estimates of the dimensions of this group depending on the transverse geometry are obtained. Examples, illustrating the main results, are constructed.
Discrete and Continuous Models and Applied Computational Science. 2009;(2):14-35
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Mathematical Model of Standard GSM System Supporting Full and Half-Rate Speech Codecs
Basharin G.P., Klapouschak S.N., Konnon A.M., Mitkina N.V.
Abstract
Usage of dual (Full/Half) rate mode in standard GSM system gives the possibility to increase considerably the performance of radio resources in the cell. In this work we develop a mathematical model of a system with repacking, supporting Full-Rate (FR) and Half-Rate (HR) modes. We define a threshold for the number of FR-calls served simultaneously. The balance equations and formulas for QoS parameters are derived. The advantages of dual rate mode usage are shown through numerical examples.
Discrete and Continuous Models and Applied Computational Science. 2009;(2):36-42
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M|G|1 Queues with Batch Service and its Application to the Stream Control Transmission Protocol Performance Analysis. Part II
Pershakov N.V., Samuylov K.E.
Abstract
In this paper we introduce an analytical model of the stream control transmission protocol - a queuing system with batch service and job bundling timeout. The applicability of the analytical models in which jobs are served in batches of fixed and variable size [1] is assessed based on numerical results. An algorithm for the calculation of key performance measures is obtained. We also consider the process of signaling messages transmission over IP-network and analyze protocol parameters to provide quality of service in mobile networks.
Discrete and Continuous Models and Applied Computational Science. 2009;(2):43-53
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Algorithm of Numerical Solving the Parametric Sturm-Liouville Problem and Calculation of Solution Derivatives with Respect to the Parameter via the Finite-Element Method
Chuluunbaatar O.
Abstract
The economical algorithm is presented for numerical solving with the given accuracy of the parametrical Sturm-Liouville problem with the third type boundary conditions on the finite interval by the finite-element method with automatical shift of the spectrum. The algorithm includes the calculation with given accuracy a set ∼ 10-50 of the eigenvalues, eigenfunctions and their first derivatives with respect to the parameter, and integrals - matrix elements between eigenfunctions and their derivatives with respect to the parameter. Efficiency of the algorithm is demonstrated by numerical analysis of the parametric integrable problem with the parametric third type boundary conditions.
Discrete and Continuous Models and Applied Computational Science. 2009;(2):54-65
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Modelling and Forecasting the Evolution of Forest Fire Using Vector Autoregression Processes
Paramonov A.V.
Abstract
The joint sample of daily values of the number of forest fire seats and the complex meteorological index in Irkutsk region, seasons 1969-1988, is investigated. It appears that the evolution of forest fire is well described by a vector autoregression process based model. Computer algorithm of simulation of the future numbers of fire seats is presented. It is shown how the algorithm can be used for reliable forecasting of the evolution of forest fire up to 2 days ahead.
Discrete and Continuous Models and Applied Computational Science. 2009;(2):66-73
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On Compact Form of Eulers Dynamic Equations for Relative Motion of Body
Mukhametzyanov I.A.
Abstract
The compact expression of Eulers equations of dynamics for the relative motion of a body through the planar tensor of inertia is obtained.
Discrete and Continuous Models and Applied Computational Science. 2009;(2):74-78
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Programmed Motions Equations of Manipulation Systems
Mukharliamov R.G., Joro G., Abramov N.V.
Abstract
The method of constructing dynamics equations of manipulation systems in generalized coordinates and canonical variables is suggested. Control actions are defined in consistence with exponential stability of the dynamics equations integral manifold, which is described by constraints equations. The solution of the problem of two-link plane manipulators programmed motion is given.
Discrete and Continuous Models and Applied Computational Science. 2009;(2):79-89
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On Definition of Jacobian Elliptic Functions
Anakhaev K.N.
Abstract
Simple analytical approximations of Jacobian elliptic functions by the elementary functions is suggested. The high degree accuracy of the approximation (<< 1%) permits to apply it to various problems of mathematical physics, mechanics, etc.
Discrete and Continuous Models and Applied Computational Science. 2009;(2):90-95
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About Two Photon Decay of the Higgs Particle in the CMB Radiation
Pervushin V.N., Shuvalov S.A.
Abstract
A set of arguments is given that testify to two photon decay of the Higgs particle in the CMB radiation. These arguments are based on the analysis of the cosmological data in the framework of the Dirac scale-invariant formulation of General Relativity with a scalar dilaton that compensates scale transformation of all fields.
Discrete and Continuous Models and Applied Computational Science. 2009;(2):96-99
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Virtual p± ↔ K± Transitions (Oscillations) Generated by Weak Interactions which Violate Strangeness, and their Detection
Beshtoev K.M.
Abstract
При нарушении странности в слабых взаимодействиях должны возникать смешивания (переходы) между p±- и K±-мезонами. Так как массы этих адронов различаются, то такие смешивания (переходы) должны быть виртуальными. Подсчитывается недиагональный массовый член, ответственный за такое смешивание. Показано, что могут иметь место два типа переходов между этими мезонами: p±-мезон может переходить в K±-мезон с изменением массы и без изменения массы. Вычислены вероятности вакуумных виртуальных переходов (осцилляций) p± ↔ K± для двух случаев (в рамках модели динамической аналогии матриц Кабиббо-Кобаяши-Маскавы и с использованием фазового обьема), при этом учетены p±-мезонные распады. Произведена оценка экстремального расстояния R для наблюдения p± → K±-перехода. Изучена кинематика процесса рождения K±-мезона при его переходе на массовую поверхность для определения оптимальных энергий для наблюдения этих переходов.
Discrete and Continuous Models and Applied Computational Science. 2009;(2):100-110
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Pravila oformleniya statey
- -.
Abstract
Discrete and Continuous Models and Applied Computational Science. 2009;(2):111-111
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