|
|
Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 3, Pages 541–547
(Mi nd342)
|
 |
|
 |
This article is cited in 1 scientific paper (total in 1 paper)
On the nonholonomic Veselova and Chaplygin systems
Andrey V. Tsiganov
Saint-Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia
Abstract:
We prove the trajectory equivalence of the Chaplygin sphere problem, the Veselova system on $e^*(3)$ and a Hamiltonian system on two-dimensional sphere with the non-standard metric.
Keywords:
nonholonomic systems, Poisson brackets.
Received: 04.03.2012
Revised: 23.04.2012
Citation:
Andrey V. Tsiganov, “On the nonholonomic Veselova and Chaplygin systems”, Nelin. Dinam., 8:3 (2012), 541–547
Linking options:
https://www.mathnet.ru/eng/nd342 https://www.mathnet.ru/eng/nd/v8/i3/p541
|
| Statistics & downloads: |
| Abstract page: | 214 | | Full-text PDF : | 73 | | References: | 46 | | First page: | 1 |
|
Citation in format AMSBIB
Contact us: