Consequences of non-integrable perturbation of integrable constraints: Nonlinear effects of motion near the equilibrium manifold. (English. Russian original) Zbl 0789.70017
J. Appl. Math. Mech. 56, No. 4, 507-517 (1992); translation from Prikl. Mat. Mekh. 56, No. 4, 604-614 (1992).
Summary: A general analysis of nonlinear oscillations of conservative non- holonomic systems is presented: the choice of special coordinates in a neighbourhood of the equilibrium manifold, the analytic structure of normal forms of higher approximations beginning with the second, the use of the energy integral, and the explicit form of approximate solutions.
MSC:
| 70K20 | Stability for nonlinear problems in mechanics |
| 70F25 | Nonholonomic systems related to the dynamics of a system of particles |
Keywords:
nonlinear oscillations; conservative non-holonomic systems; special coordinates; energy integralReferences:
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