On Invariant Manifolds of Nonholonomic Systems
نویسنده
چکیده
Invariant manifolds of equations governing the dynamics of conservative nonholonomic systems are investigated. These manifolds are assumed to be uniquely projected onto configuration space. The invariance conditions are represented in the form of generalized Lamb’s equations. Conditions are found under which the solutions to these equations admit a hydrodynamical description typical of Hamiltonian systems. As an illustration, nonholonomic systems on Lie groups with a left-invariant metric and left-invariant (right-invariant) constraints are considered. MSC2010 numbers: 70Hxx, 37J60 DOI: 10.1134/S1560354712020037
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تاریخ انتشار 2013