Zobrazeno 1 - 10
of 195
pro vyhledávání: '"Mamaev, Ivan S."'
Autor:
Vetchanin, Evgeny V.1 (AUTHOR) eugene186@mail.ru, Mamaev, Ivan S.1 (AUTHOR)
Publikováno v:
Mathematics (2227-7390). Jan2024, Vol. 12 Issue 2, p312. 17p.
This paper is concerned with the study of the rolling without slipping of a dynamically symmetric (in particular, homogeneous) heavy ball on a cone which rotates uniformly about its symmetry axis. The equations of motion of the system are obtained, p
Externí odkaz:
http://arxiv.org/abs/1812.02739
This paper addresses the problem of the Chaplygin ball rolling on a horizontal plane which rotates with constant angular velocity. In this case, the equations of motion admit area integrals, an integral of squared angular momentum and the Jacobi inte
Externí odkaz:
http://arxiv.org/abs/1807.08438
This paper is concerned with a nonholonomic system with parametric excitation - the Chaplygin sleigh with time-varying mass distribution. A detailed analysis is made of the problem of the existence of regimes with unbounded growth of energy (an analo
Externí odkaz:
http://arxiv.org/abs/1807.06262
Autor:
Bizyaev, Ivan A., Mamaev, Ivan S.
Publikováno v:
Regular & Chaotic Dynamics; Oct2024, Vol. 29 Issue 5, p728-750, 23p
This paper provides a detailed description of various reduction schemes in rigid body dynamics. Analysis of one of such nontrivial reductions makes it possible to order the cases already found and to obtain new generalizations of the Kovalevskaya cas
Externí odkaz:
http://arxiv.org/abs/1607.07982
This paper is concerned with the nonholonomic Suslov problem and its generalization proposed by Chaplygin. The issue of the existence of an invariant measure with singular density (having singularities at some points of phase space) is discussed.
Externí odkaz:
http://arxiv.org/abs/1607.07977
Publikováno v:
Russian Journal of Mathematical Physics, 2015, Vol. 22, No. 4, pp. 444-453
In this paper, we develop the Chaplygin reducing multiplier method; using this method, we obtain a conformally Hamiltonian representation for three nonholonomic systems, namely, for the nonholonomic oscillator, for the Heisenberg system, and for the
Externí odkaz:
http://arxiv.org/abs/1601.00884
Publikováno v:
SIGMA 12 (2016), 012, 19 pages
In this paper, using the Hojman construction, we give examples of various Poisson brackets which differ from those which are usually analyzed in Hamiltonian mechanics. They possess a nonmaximal rank, and in the general case an invariant measure and C
Externí odkaz:
http://arxiv.org/abs/1510.00181
Autor:
Bizyaev, Ivan A., Mamaev, Ivan S.
Publikováno v:
In International Journal of Non-Linear Mechanics November 2020 126