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物理学报 2009
Approximate conserved quantity of a weakly nonholonomic system
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Abstract:
The differential equations of motion of a weakly nonholonomic system in which there is a small parameter are established. We develope the generators of infinitesimal transformations and the gauge function via the multiple power-series expansion of the parameter and substitute them into a generalized Noether identity. The Noether theorem is used to obtain an approximate conserved quantity.