Geodesic
Computer visualization of nonholonomic systems motion
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2010), pp. 137-145

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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, nonholonomic constraint, invariant measure, integrability.
Mots-clés : Poisson bracket 
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     author = {A. V. Borisov},
     title = {Computer visualization of nonholonomic systems motion},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {137--145},
     publisher = {mathdoc},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2010_1_a11/}
}
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A. V. Borisov. Computer visualization of nonholonomic systems motion. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2010), pp. 137-145. http://geodesic.mathdoc.fr/item/VUU_2010_1_a11/