Zobrazeno 1 - 10
of 126
pro vyhledávání: '"Andrey Vladimirovich Tsiganov"'
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 212:149-164
Обсуждаются свойства тензоров Киллинга второго порядка в трехмерном евклидовом пространстве, которые гарантируют существование треть
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d1f0d057558e1ef40ee4edc94ae3952
https://doi.org/10.4213/tmf10248
https://doi.org/10.4213/tmf10248
Publikováno v:
Russian Journal of Mathematical Physics. 27:399-409
In this note, we compare the first integrals and exact solutions of equations of motion for scleronomic and rheonomic, and holonomic and nonholonomic oscillators.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97dfd1056a62645199d33472fe0d4465
https://doi.org/10.1134/s1061920820030115
https://doi.org/10.1134/s1061920820030115
Publikováno v:
Theoretical and Applied Mechanics, Vol 47, Iss 2, Pp 155-168 (2020)
In 1913 A.D. Bilimovich observed that rheonomic linear and homogeneous in generalized velocities constraints are ideal. As a typical example, he considered rheonomic nonholonomic deformation of the Euler equations which scleronomic version is equival
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2ab051d582782a0e2fd639f2417c81c
http://www.doiserbia.nb.rs/img/doi/1450-5584/2020/1450-55842000009B.pdf
http://www.doiserbia.nb.rs/img/doi/1450-5584/2020/1450-55842000009B.pdf
Publikováno v:
Regular and Chaotic Dynamics. 25:18-32
This paper is concerned with the motion of an unbalanced dynamically symmetric sphere rolling without slipping on a plane in the presence of an external magnetic field. It is assumed that the sphere can consist completely or partially of dielectric,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4bd4e809c81e95351fb987e6be7ca534
https://doi.org/10.1134/s1560354720010049
https://doi.org/10.1134/s1560354720010049
Publikováno v:
Regular and Chaotic Dynamics. 24:739-754
We consider the possibility of using Dirac’s ideas of the deformation of Poisson brackets in nonholonomic mechanics. As an example, we analyze the composition of external forces that do no work and reaction forces of nonintegrable constraints in th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be5a260f93352131c6375cc5e043dba7
https://doi.org/10.1134/s156035471906011x
https://doi.org/10.1134/s156035471906011x
Publikováno v:
Regular and Chaotic Dynamics. 24:353-369
The sum of elliptic integrals simultaneously determines orbits in thr Kepler problem and the addition of divisors on elliptic curves. Periodic motion of a body in physical space is defined by symmetries, whereas periodic motion of divisors is defined
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc1f7efc5cd6104cc1b1a26b3ced5164
https://doi.org/10.1134/s1560354719040014
https://doi.org/10.1134/s1560354719040014
Publikováno v:
Theoretical and Mathematical Physics. 199:659-674
We consider superintegrable deformations of the Kepler problem and the harmonic oscillator on the plane and also superintegrable metrics on a two-dimensional sphere, for which the additional integral of motion is either an algebraic or a rational fun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e71a38e6c6e4711f1bcc21069c19d50
https://doi.org/10.1134/s0040577919050040
https://doi.org/10.1134/s0040577919050040
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 199:218-234
Рассматриваются суперинтегрируемые деформации задачи Кеплера и гармонического осциллятора на плоскости, а также суперинтегрируемые м
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ed5a76bc824a4481c532d80765ce0a2
https://doi.org/10.4213/tmf9640
https://doi.org/10.4213/tmf9640
Publikováno v:
Theoretical and Mathematical Physics. 197:1806-1822
We discuss the possibility of using the intersection points of the common level surface of integrals of motion with an auxiliary curve to construct finite-difference equations corresponding to different discretizations of the original integrable syst
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1c54b60c4c6aa32e41ade62f181a163
https://doi.org/10.1134/s0040577918120103
https://doi.org/10.1134/s0040577918120103
Publikováno v:
2020 International Conference Nonlinearity, Information and Robotics (NIR).
The paper will consider the Bilimovich system, which can be considered as one of the examples with nonholonomic non-stationary inhomogeneous relation. We consider the case when there is no energy integral. The behavior of the system is quite complex,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::269efb78037e6a1a758e02121b0fbdce
https://doi.org/10.1109/nir50484.2020.9290203
https://doi.org/10.1109/nir50484.2020.9290203