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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2010, Issue 1, Pages 137–145
(Mi vuu175)
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COMPUTER SCIENCE
Computer visualization of nonholonomic systems motion
A. V. Borisov Institute of Computer Science
Abstract:
We consider the problems of Hamiltonian representation and integrability of the nonholonomic Suslov system and its generalization suggested by S. A. Chaplygin. These aspects are very important for understanding the dynamics and qualitative analysis of the system. In particular, they are related to the nontrivial asymptotic
behaviour (i.e. to some scattering problem). The paper presents a general approach based on the study of the hierarchy of dynamical behaviour of nonholonomic systems.
Keywords:
Hamiltonian system, Poisson bracket, nonholonomic constraint, invariant measure, integrability.
Received: 23.11.2009
Citation:
A. V. Borisov, “Computer visualization of nonholonomic systems motion”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1, 137–145
Linking options:
https://www.mathnet.ru/eng/vuu175 https://www.mathnet.ru/eng/vuu/y2010/i1/p137
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Abstract page: | 288 | Full-text PDF : | 172 | References: | 50 | First page: | 1 |
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