Труды сотрудников ИВМ СО РАН

[Электронный ресурс]. - Электрон. дан. (499 Кб) : диссертации на соискание ученой степени кандидата-физико математических наук (перевод на английский язык) / А.Н. Горбань. - Электрон. дан. (499 Кб). - [Б. м. : б. и.], 1997. - Б. ц.
Аннотация: The paper gives the systematic analysis of singularities of transition processes in general dynamical systems. Dynamical systems depending on parameter are studied. A system of relaxation times is constructed. Each relaxation time depends on three variables: initial conditions, parameters k of the system and accuracy ? of relaxation. This system of times contains: the time before the first entering of the motion into ?-neighbourhood of the limit set, the time of final entering in this neighbourhood and the time of stay of the motion outside the ?-neighbourhood of the limit set. The singularities of relaxation times as functions of (x0; k) under fixed ? are studied. A classification of different bifurcations (explosions) of limit sets is performed. The bifurcations fall into those with appearance of new limit points and bifurcations with appearance of new limit sets at finite distance from the existing ones. The relations between the singularities of relaxation times and bifurcations of limit sets are studied. The peculiarities of dynamics which entail singularities of transition processes without bifurcations are described as well. The peculiarities of transition processes under perturbations are studied. It is shown that the perturbations simplify the situation: the interrelations between the singularities of relaxation times and other peculiarities of dynamics for general dynamical system under small perturbations are the same as for smooth two-dimensional structural stable systems.

http://icm.krasn.ru/refextra.php?id=2806


Доп.точки доступа:
Gorban A.N.
Свободных экз. нет

[Text] : научное издание / Gorban A.N.,Zinovyev A.Y., Popova T. // Institut des Hautes Etudes Scientifiques Preprint . - 2001
   Перевод заглавия: Статистический подход к автоматической идентификации генов без учителя
Аннотация: Overview of statistical methods of gene identification is made. Particular attention is given to the methods which need not a training set of already known genes. After analysis several statistical approaches are proposed for computational exon identification in whole genomes. For several genomes an optimal window length for averaging GC-content function and calculating codon frequencies has been found. Self-training procedure based on clustering in multidimensional codon frequencies space is proposed.

http://icm.krasn.ru/refextra.php?id=2108


Доп.точки доступа:
Zinovyev, A.Y.; Зиновьев, Андрей Юрьевич; Popova, T.G.; Попова Т.Г.; Горбань, Александр Николаевич

[Text] : статья / I.V. Karlin, M. Grmela, A.N. Gorban // Physical Review E. - 2002. - Vol. 65. - Ст. 036128. - p. 1-4DOI 10.1103/PhysRevE.65.036128
   Перевод заглавия: Двойственность в неэкстенсивной статистической механике
Аннотация: We revisit recent derivations of kinetic equations based on Tsallis' entropy concept. The method of kinetic functions is introduced as a standard tool for extensions of classical kinetic equations in the framework of Tsallis' statistical mechanics. Our analysis of the Boltzmann equation demonstrates a remarkable relation between thermodynamics and kinetics caused by the deformation of macroscopic observables.

http://icm.krasn.ru/refextra.php?id=2095,
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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Grmela, M.; Gorban, A.N.; Горбань, Александр Николаевич; Карлин, Илья Вениаминович

[Text] : статья / I.L. Arshukova, N.V. Erkaev, H.K. Biernat // International journal of geomagnetism and aeronomy. - 2002. - Vol. 3, № 1. - p. 27–34
Аннотация: This article deals with the magnetohydrodynamic instability of the high magnetic shear magnetopause, which is considered to be a thin layer with a constant curvature radius and plasma velocity shear. In our model, the magnetic field and plasma density are assumed to be piecewise constant in three regions: in the magnetosphere adjacent to the magnetopause, in the magnetosheath, and inside a thin layer associated with the magnetopause. The plasma parameters and the magnetic field are assumed to obey the ideal incompressible magnetohydrodynamics. A Fourier analysis is used to calculate small perturbations of magnetic field and plasma parameters near the magnetopause in a linear approximation. The instability growth rate is obtained as a function of the angle between the velocity vector and the geomagnetic field direction for different plasma bulk speeds, wave numbers and curvature radii. The resulting instability is a mixture of interchange and Kelvin-Helmholtz instabilities on a surface with a nonzero curvature. The instability growth rate is an increasing function of the tangential velocity component perpendicular to the magnetic field. On the other hand, the growth rate is a decreasing function of the velocity component along the magnetic field.

http://icm.krasn.ru/refextra.php?id=2427,
Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Erkaev, N.V.; Еркаев, Николай Васильевич; Biernat, H.K.; Аршукова И.Л.

[Text] : статья / A.N. Gorban, A. Rossiev, N. Makarenko, Y. Kuandykov, V. Dergachev // International Journal of Geomagnetism and Aeronomy. - 2002. - Vol. 3, № 2. - p. 191–197
Аннотация: A new method is presented to recover the lost data in geophysical time series. It is clear that gaps in data are a substantial problem in obtaining correct outcomes about phenomenon in time series processing. Moreover, using the data with irregular coarse steps results in the loss of prime information during analysis. We suggest an approach to solving these problems, that is based on the idea of modeling the data with the help of small-dimension manifolds, and it is implemented with the help of a neural network. We use this approach on real data and show its proper use for analyzing time series of cosmogenic isotopes. In addition, multifractal analysis was applied to the recovered 14C concentration in the Earth's atmosphere.

http://icm.krasn.ru/refextra.php?id=2790,
http://ijga.agu.org/v03/gai01384/gai01384.pdf,
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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Rossiev, A.; Россиев, Алексей Анатольевич; Makarenko, N.; Макаренко Н.; Kuandykov, Y.; Dergachev, V.; Горбань, Александр Николаевич

[Text] : статья / A.N. Gorban [et al.] // Physica A. - 1996. - 231. - p. 648-672
   Перевод заглавия: Траектории релаксации: глобальная аппроксимация
Аннотация: The paper intends to fill the gap of analytic approximate methods for non-linear space-independent dissipative systems equipped with the entropy functional. The key point of the analysis is an upper limiting state in the beginning of the relaxation. Extremal properties of this state are described and explicit estimations are derived. This limiting state is used to construct explicit approximations of the phase trajectories. Special attention is paid to accomplish positiv-ity, smoothness and the entropy growth along the approximate trajectories. The method is tested for the space-independent Boltzmann equation with various collisional mechanisms.

http://icm.krasn.ru/refextra.php?id=2092,
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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Gorban, A.N.; Горбань, Александр Николаевич; Karlin, I.V.; Карлин, Илья Вениаминович; Nonnenmacher, T.F.; Zmievskii, V.B.; Змиевский В.Б.

[Текст] : научное издание / V. V. Moskvichev, L. I. Koksharov // Proceeding of the Soviet-Chinese Simposium. Mathematical simulation and application software. - 1991. - С. 51-60


Доп.точки доступа:
Shokin Yu.I. \ed.\; Koksharov, L.I.; Кокшаров, Игорь Ильич; Москвичев, Владимир Викторович

[Текст] = Simulation and optimization of engeneering systems with distributed parametres : учебное пособие / Н. Д. Демиденко, Л. В. Кулагина. - Красноярск : КГТУ, 2006. - 210 с. : ил. - (Ресурсосбережение и экологическая безопасность = РЭБ). - Парал. загл. на англ. - Библиогр.: с. 210. - ISBN 5-7636-0411-3 : Б. ц.

УДК	[665.63+662.764]:62-50

ББК В18

Аннотация: Изложены основные положения теории и методов моделирования и оптимального управления для систем с распределенными параметрами. Приведены математические модели процессов тепломассопередачи в технологических установках. Сформулированы краевые задачи для анализа нестационарных режимов процессов теплообмена, разделения многокомпонентных смесей и горения. Рассмотрены задачи оптимального управления технологическими установками и методы их решения. Теоретические проблемы моделирования и оптимизации решены для некоторых конкретных объектов промышленности. Также даны контрольные вопросы и задачи, позволяющие закрепить теоретические знания и развить практические навыки решения задач по автоматизации технических систем. Предназначено для студентов специальностей "Тепловые электрические станции", "Промышленная теплоэнергетика", "Энергетика теплотехнологий" направления подготовки дипломированных специалистов "Теплоэнергетика", а также может быть полезным для студентов специальностей "Прикладная математика", "Автоматизация систем обработки информации и управление", "Системный анализ и управление"
Basic aspects of the theory and methods for simulation and optimal control for systems with distributed parameters are stated. Mathematical models of heat and mass transfer processes in processing systems are given. Boundary problems for the analysis of unsteadly conditions of heat exchange processes, segregation of multicomponent mixes and their burning are formulated. Tasks of technological installations optimal control and solution methods are considered. Theoretical issues of simulating and optimization are solved for industrial abstract entities. Control questions and test tasks which allow mastering theoretical knowledge and developing practical skills in solving tasks on technical systems automation are also presented. Intended for the students of Specialties "Heat Power Stations", "Industrial Thermal Power Engineering", "Power Engineering of Heat Technologies" of the under-graduate studies education field "Thermal Power Engineering", and also can be useful to students of specialties "Applied Mathematics", "Automation of Information Processing Systems and Controlling", "System Analysis and Controlling"


Доп.точки доступа:
Кулагина, Л.В. Др
Свободных экз. нет

[Текст] : статья / А.В. Лапко и др. // Pattern Recognition and Image Analysis. (Advances in Mathematical Theory and Applications). - 2010. - Т.20, №.2. - С. 129-136


Доп.точки доступа:
Lapko, V.A.; Лапко, Василий Александрович; Лапко, Александр Васильевич

[Text] : статья / Yu.I. Shokin, V.V. Moskvichev, V.V. Nicheporchuk // Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management. Proceedings of The First International Conference on Vulnerability and Risk Analysis and Management (ICVRAM 2011) and The Fifth International Symposium on Uncertainty Modeling and Analysis (ISUMA 2011). - Reston : ASCE, 2011. - p. 442-449, DOI 10.1061/41170(400)54 . - ISBN 978-0-7844-1170-4

Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Moskvichev, V.V.; Москвичев, Владимир Викторович; Nicheporchuk, V.V.; Ничепорчук, Валерий Васильевич; Шокин, Юрий Иванович; International Conference on Vulnerability and Risk Analysis and Management(I ; April 11-13, 2011 ; Hyattsville); International Symposium on Uncertainty Modeling and Analysis(V ; April 11-13, 2011 ; Hyattsville)

[Text] : статья / E.A. Novikov // Russian Journal of Numerical Analysis and Mathematical Modelling. - 2012. - Vol. 27, № 3. - p. 243-259, DOI 10.1515/rnam-2012-0014 . - ISSN 0927-6467

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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Новиков, Евгений Александрович

[Text] : статья / E. D. Karepova, V. V. Shaidurov, E. Dementyeva // Int. J. of Num. Analysis and Modeling, Series B.Quantum Chemistry. - 2011. - Vol. 2, № 2-3. - p. 167-182

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Доп.точки доступа:
Shaidurov, V.V.; Шайдуров, Владимир Викторович; Dementyeva, E.V.; Дементьева, Екатерина Васильевна; Карепова, Евгения Дмитриевна

[Text] : статья / Chen H. и др. // Numerical Analysis and Applications. - 2011. - Vol. 4, Iss. 4. - p. 345-362DOI http://link.springer.com/article/10.1134%2FS1995423911040070 . -
Аннотация: In this paper, a modified method of characteristics in combination with integral identities of triangular and tetrahedral linear elements is used to prove a uniform optimal-order error estimate that depends only on the initial data and right-hand side, but not on a scaling parameter ɛ, for multidimensional time-dependent advection-diffusion equations.


Доп.точки доступа:
Chen, H.; Lin, Q.; Shaidurov, V.V.; Шайдуров, Владимир Викторович; Zhou, J.

[Текст] : статья / Н.А. Зайцева и др. // Functional Genomics. Next Generation Applications & Technologies. - 2011. - p. 76


Доп.точки доступа:
Садовский, Михаил Георгиевич; Sadovskii M.G.

[Text] : статья / T.G. Penkova, A.V. Korobko // Proceedings of the 34th International Convention MIPRO. - 2011. - p. 225–229

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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Korobko, A.V.; Коробко, Анна Владимировна; Пенькова, Татьяна Геннадьевна; International Conference on Business Intelligence Systems(34 ; 23-27 May 2011 ; Opatija)

[Text] : статья / V.M. Sadovsky, O.V. Sadovskaya, M.P. Varygina // International Journal of Numerical Analysis and Modeling, Series B. - 2011. - № 2-3. - p. 215-230

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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна; Varygina, M.P.; Варыгина, Мария Петровна; Садовский, Владимир Михайлович

[Text] : статья / O.V. Sadovskaya // Computational Plasticity XI. Fundamentals and Applications. - 2011. - p. 987-999 . - ISBN 978-84-89925-73-1

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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Садовская, Оксана Викторовна; International Conference on Computational Plasticity. Fundamentals and Applications(XI ; 07-09 September 2011 ; Barcelona)

[Electronic resource]. - Electronic text data : статья / A. N. Gorban. - Electronic text data // Electronic Journal of Differential Equations. - 1997. - Translation of Candidat (Ph.D) Thesis
Аннотация: The paper gives a systematic analysis of singularities of transition processes in dynamical systems. General dynamical systems with dependence on parameter are studied. A system of relaxation times is constructed. Each relaxation time depends on three variables: initial conditions, parameters k of the system and accuracy ε of the relaxation. The singularities of relaxation times as functions of (x0,k) under fixed ε are studied. The classification of different bifurcations (explosions) of limit sets is performed. The relations between the singularities of relaxation times and bifurcations of limit sets are studied. The peculiarities of dynamics which entail singularities of transition processes without bifurcations are described as well. The analogue of the Smale order for general dynamical systems under perturbations is constructed. It is shown that the perturbations simplify the situation: the interrelations between the singularities of relaxation times and other peculiarities of dynamics for general dynamical system under small perturbations are the same as for the Morse-Smale systems.

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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Горбань, Александр Николаевич

/ I.V. Stepanova // Commun. Nonlinear Sci. Numer. Simul. - 2013. - Vol. 18, Is. 6. - P1341-1346, DOI 10.1016/j.cnsns.2012.10.013. - Cited References: 14. - Author thanks Prof. V.K. Andreev for formulation of the problem and attention to the work. This work is supported by the Integrational Grant No 44 and The Ministry of education and science of Russia, project 14.A18.21.2014. . - 6. - ISSN 1007-5704РУБ Mathematics, Applied + Mathematics, Interdisciplinary Applications + Mechanics + Physics, Fluids & Plasmas + Physics, Mathematical

Аннотация: Group classification problem is solved for equations of motion of a binary mixture under the buoyancy force and thermodiffusion effect. These equations are parameterized by five arbitrary functions of two arguments. The admissible Lie symmetry algebras of generators are found depending on arbitrary elements. These results are useful for analytical and numerical modeling of the convection in binary mixtures. (C) 2012 Elsevier B. V. All rights reserved.


Доп.точки доступа:
Stepanova, I.V.; Степанова, Ирина Владимировна

/ D.B. Korovinskiy [et al.] // J. Geophys. Res-Space Phys. - 2013. - Vol. 118, Is. 3. - P1146-1158, DOI 10.1002/jgra.50206. - Cited References: 39. - This work is supported by the Austrian Science Fund (FWF): I193-N16, by the Onderzoekfonds KU Leuven (Research Fund KU Leuven), by RFBR Grants 12-05-00918-a and 12-05-00152-a, and by SPSU Grants 11.38.47.2011 and 11.38.84.2012. The research has received funding also from the European Union Seventh Framework Programme [FP7/2007-2013] under grant agreement 269198-Geoplasmas (Marie Curie International Research Staff Exchange Scheme) and 218816 (SOTERIA project). The simulations were conducted on the resources of the Vlaams Supercomputer Centrum (VSC) at the Katholieke Universiteit Leuven. N.V.E., V.S.S. and D.B.K. thank also ISSI for hospitality and financial support. The authors thank reviewers for their comments, which gave us the substantial aid in preparing of this manuscript. . - 13. - ISSN 2169-9380РУБ Astronomy & Astrophysics

Аннотация: The paper presents the detailed numerical investigation of the "double-gradient mode," which is believed to be responsible for the magnetotail flapping oscillations-the fast vertical (normal to the layer) oscillations of the Earth's magnetotail plasma sheet with a quasiperiod similar to 100-200 s. The instability is studied using the magnetotail near-equilibrium configuration. For the first time, linear three-dimensional numerical analysis is complemented with full 3-D MHD simulations. It is known that the "double-gradient mode" has unstable solutions in the region of the tailward growth of the magnetic field component, normal to the current sheet. The unstable kink branch of the mode is the focus of our study. Linear MHD code results agree with the theory, and the growth rate is found to be close to the peak value, provided by the analytical estimates. Full 3-D simulations are initialized with the numerically relaxed magnetotail equilibrium, similar to the linear code initial condition. The calculations show that current layer with tailward gradient of the normal component of the magnetic field is unstable to wavelengths longer than the curvature radius of the field line. The segment of the current sheet with the earthward gradient of the normal component makes some stabilizing effect (the same effect is registered in the linearized MHD simulations) due to the minimum of the total pressure localized in the center of the sheet. The overall growth rate is close to the theoretical double-gradient estimate averaged over the computational domain.

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Доп.точки доступа:
Korovinskiy, D.B.; Divin, A.; Erkaev, N.V.; Еркаев, Николай Васильевич; Ivanova, V.V.; Ivanov, I.B.; Semenov, V.S.; Lapenta, G.; Markidis, S.; Biernat, H.K.; Zellinger, M.