Výsledky vyhledávání - "Valentin Irtegov"

On Invariant Sets for the Equations of Motion of a Rigid Body in the Hess-Appelrot Case

Autor: Valentin Irtegov, T. N. Titorenko

Publikováno v: Известия Иркутского государственного университета: Серия "Математика", Vol 33, Iss 1, Pp 20-34 (2020)

We consider the problem of motion of a rigid body in the Hess-Appelrot case when the equations of motion have three first integrals as well as the invariant manifold of Hess. On the basis of the Routh-Lyapunov method and its generalizations, the qual

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f30b0c3d142f7c3d76550ceb4caee7e2
https://doi.org/10.26516/1997-7670.2020.33.20

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On First Integrals and Invariant Manifolds in the Generalized Problem of the Motion of a Rigid Body in a Magnetic Field

Autor: Valentin Irtegov, Tatiana Titorenko

Publikováno v: Computer Algebra in Scientific Computing ISBN: 9783030851644
CASC

Differential equations describing the motion of a rigid body with a fixed point under the influence of both a magnetic field generated by the Barnett–London effect and potential forces are analyzed. We seek first integrals and invariant manifolds o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a2c3f30b8932262f9b79070047a50503
https://doi.org/10.1007/978-3-030-85165-1_10

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About Stationary Movements of the Generalized Kovalevskaya Top and Their Stability

Autor: Valentin Irtegov, T. N. Titorenko

Publikováno v: Mechanics of Solids. 54:81-91

A qualitative analysis of the equations of motion of the Kovalevskaya top in a double constant field of forces is carried out. In the framework of this study, it was established that in the case of parallel force fields, the equations of motion of th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::443f928592e56f3ddff28faa7f21a89c
https://doi.org/10.3103/s0025654419010072

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On motions of a conservative system on invariant manifolds

Autor: Tatiana Titorenko, Valentin Irtegov

Publikováno v: Cybernetics and Physics. :130-143

In [Irtegov and Burlakova, 2017], the algorithms for the qualitative analysis of conservative systems have been presented. These are based on the Routh-Lyapunov method [Lyapunov, 1954] and some its modifications [Irtegov and Titorenko, 2009] as well

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a87027ed5bf380ab940875cc02e78cbd
https://doi.org/10.35470/2226-4116-2018-7-3-130-143

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On the Study of the Motion of a System of Two Connected Rigid Bodies by Computer Algebra Methods

Autor: Tatiana Titorenko, Valentin Irtegov

Publikováno v: Computer Algebra in Scientific Computing ISBN: 9783030600259
CASC

Stationary motions of a system of two connected rigid bo-dies in a constant gravity field are studied. With the help of computer algebra tools, we construct the symbolic characteristic function of the system and use it as a starting point for derivin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5d0617d8212dd4169091e1c1d7b59d11
https://doi.org/10.1007/978-3-030-60026-6_15

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Particular solutions of the Hamilton–Jacobi equation and their usage

Autor: T. N. Titorenko, Valentin Irtegov

Publikováno v: Differential Equations. 52:292-305

We show the possibility of using particular solutions of the Hamilton–Jacobi equation in problems of qualitative analysis of Lagrangian systems with cyclic first integrals. We present a procedure for finding and studying invariant manifolds of such

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a4944f2124d4d17d0e1017ed74937a2f
https://doi.org/10.1134/s0012266116030046

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On Linear Invariant Manifolds in the Generalized Problem of Motion of a Top in a Magnetic Field

Autor: Tatiana Titorenko, Valentin Irtegov

Publikováno v: Computer Algebra in Scientific Computing ISBN: 9783030268305
CASC

Differential equations describing the rotation of a rigid body with a fixed point under the influence of forces generated by the Barnett–London effect are analyzed. They are a multiparametric system of equations. A technique for finding their linea

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3c289c82c269c772508aa04f3785301a
https://doi.org/10.1007/978-3-030-26831-2_17

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Qualitative Analysis of a Dynamical System with Irrational First Integrals

Autor: Tatiana Titorenko, Valentin Irtegov

Publikováno v: Developments in Language Theory ISBN: 9783319986531
CASC

We conduct qualitative analysis for a completely integrable system of differential equations with irrational first integrals. These equations originate from gas dynamics and describe adiabatical motions of a compressible gas cloud with homogeneous de

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8794d299cc24465d20caf49ef2464617
https://doi.org/10.1007/978-3-319-99639-4_18

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Computer algebra methods in the study of nonlinear differential systems

Autor: T. N. Titorenko, Valentin Irtegov

Publikováno v: Computational Mathematics and Mathematical Physics. 53:845-857

Some issues concerning computer algebra methods as applied to the qualitative analysis of differential equations with first integrals are discussed. The problems of finding stationary sets and analyzing their stability and bifurcations are considered

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6aa0efe6791af680c57010302e1b23a2
https://doi.org/10.1134/s0965542513060092

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