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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, Issue 2, Pages 147–160 (Mi vuu177)  

COMPUTER SCIENCE

Multipurpose software system for research of mechanical systems with nonholonomic constraints

I. S. Mamaev

Institute of Computer Science

Abstract: We consider different mechanical systems with nonholonomic constraints; in particular, we examine the existence of tensor invariants (laws of conservation) and their connection with the behavior of a system. Considerable attention is given to the possibility of conformally Hamiltonian representation of the equations of motion, which is mainly used for the integration of the considered systems.

Keywords: nonholonomic systems, implementation of constraints, conservation laws, hierarchy of dynamics, explicit integration.

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Document Type: Article
UDC: 531.38
MSC: 34D20, 70E40, 37J35
Received: 27.02.2009

Citation: I. S. Mamaev, “Multipurpose software system for research of mechanical systems with nonholonomic constraints”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 2, 147–160

Citation in format AMSBIB
\Bibitem{Mam09}
\by I.~S.~Mamaev
\paper Multipurpose software system for research of mechanical systems with nonholonomic constraints
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2009
\issue 2
\pages 147--160
\mathnet{http://mi.mathnet.ru/vuu177}


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  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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