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In this paper we obtain a Hamilton-Jacobi theory for nonholonomic mechanical systems. The results are applied to a large class of nonholonomic mechanical systems, the so-called Čaplygin systems.
13 pages, added references, fixed typos, comparison with previous approaches and some explanations added. To appear in J. Phys. A
37J60, Mechanical systems, 70H20, FOS: Physical sciences, 70H20; 37J60; 70F25, Mathematical Physics (math-ph), 70F25, Mathematical Physics
37J60, Mechanical systems, 70H20, FOS: Physical sciences, 70H20; 37J60; 70F25, Mathematical Physics (math-ph), 70F25, Mathematical Physics
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