Hamiltonian representation and integrability of the Suslov problem

A. V. Borisov ; A. A. Kilin ; I. S. Mamaev

Russian journal of nonlinear dynamics, Tome 6 (2010) no. 1, pp. 127-142.

Résumé

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.

Détail

Keywords: Hamiltonian system, nonholonomic constraint, invariant measure, integrability.
Mots-clés : Poisson bracket

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