Výsledky vyhledávání - "Tatiana Titorenko"

On Equilibrium Positions in the Problem of the Motion of a System of Two Bodies in a Uniform Gravity Field

Autor: Valentin Irtegov, Tatiana Titorenko

Publikováno v: Computer Algebra in Scientific Computing ISBN: 9783031147876

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a50abfbe4577899860ece800b33a5627
https://doi.org/10.1007/978-3-031-14788-3_10

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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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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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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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Qualitative Analysis of the Reyman – Semenov–Tian–Shansky Integrable Case of the Generalized Kowalewski Top

Autor: Tatiana Titorenko, Valentin Irtegov

Publikováno v: Computer Algebra in Scientific Computing ISBN: 9783319456409
CASC

Qualitative analysis for the general integrable case of the problem of motion of a rigid body in double force field is conducted. We seek invariant manifolds and the families of invariant manifolds of various dimension and levels, which possess some

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dbaaa0ffafd07f0949218188c524c926
https://doi.org/10.1007/978-3-319-45641-6_19

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On Invariant Manifolds and Their Stability in the Problem of Motion of a Rigid Body under the Influence of Two Force Fields

Autor: Tatiana Titorenko, Valentin Irtegov

Publikováno v: Computer Algebra in Scientific Computing ISBN: 9783319240206
CASC

On the basis of the Routh---Lyapunov method and its generalizations, we study the structure of the phase space of the conservative system which describes the motion of a rigid body in gravitational and magnetic fields. Within the framework of this st

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::37e45fc001eee385a38c8d44ec7155d0
https://doi.org/10.1007/978-3-319-24021-3_17

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