Zobrazeno 1 - 8
of 8
pro vyhledávání: '"T. N. Titorenko"'
Autor:
V. D. 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://doaj.org/article/1fe3b5d9154245198ae9423c2fcac636
Autor:
V. D. Irtegov, T. N. Titorenko
Publikováno v:
Journal of Applied and Industrial Mathematics. 16:58-69
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b68bb2ec30666e8b4ccebab46c9c7c7
https://doi.org/10.1134/s1990478922010057
https://doi.org/10.1134/s1990478922010057
Autor:
V. D. Irtegov, T. N. Titorenko
Publikováno v:
Numerical Analysis and Applications. 15:48-62
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::640988d0e01cff869a3dc65dc7234b50
https://doi.org/10.1134/s1995423922010050
https://doi.org/10.1134/s1995423922010050
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
https://doi.org/10.26516/1997-7670.2020.33.20
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
https://doi.org/10.3103/s0025654419010072
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
https://doi.org/10.1134/s0012266116030046
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
https://doi.org/10.1134/s0965542513060092
Autor:
T. N. Titorenko, Valentin Irtegov
Publikováno v:
ACM Communications in Computer Algebra. 46:98-99
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d3b60a8806348ea4b25971cbda272651
https://doi.org/10.1145/2429135.2429152
https://doi.org/10.1145/2429135.2429152