Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds
2010, Vol. 6, No. 4, pp. 829-854
Author(s): Bolsinov A. V., Borisov A. V., Mamaev I. S.
Hamiltonisation problem for non-holonomic systems, both integrable and non-integrable, is considered. This question is important for qualitative analysis of such systems and allows one to determine possible dynamical effects. The first part is devoted to the representation of integrable systems in a conformally Hamiltonian form. In the second part, the existence of a conformally Hamiltonian representation in a neighbourhood of a periodic solution is proved for an arbitrary measure preserving system (including integrable). General consructions are always illustrated by examples from non-holonomic mechanics.
PDF, 398.78 Kb
This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License