Zobrazeno 1 - 6
of 6
pro vyhledávání: '"V. D. Irtegov"'
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:
V. D. Irtegov
Publikováno v:
Russian Mathematics. 54:34-40
In this paper we demonstrate themethod of the enveloping first integral via an example of a completely integrable system of differential equations. This method allows a researcher to find and investigate singular invariant manifolds for a given famil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4eedebc7eeec50aea55374784f4ccb31
https://doi.org/10.3103/s1066369x10080050
https://doi.org/10.3103/s1066369x10080050
Publikováno v:
Journal of Mathematical Sciences. 108:1094-1108
Examples of problems of motion stability solved with the help of computer algebra systems (CAS) are presented. The authors have experience in developing and applying problem-oriented systems of symbolic computations and software packages for solving
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c94b94ef3aa34abc1919934606c58fb8
https://doi.org/10.1023/a:1013504824807
https://doi.org/10.1023/a:1013504824807
Publikováno v:
Cybernetics and Systems Analysis. 28:119-127
Algorithms are proposed that construct first integrals and Lyapunov functions for stability analysis of stationary solutions of differential equations describing mechanical systems of linked bodies.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::857293d8811f884b826c830067846943
https://doi.org/10.1007/bf01125134
https://doi.org/10.1007/bf01125134