2004•理论物理通讯：英文版Requires access
Lie Symmetries and Non-Noether Conserved Quantities of Nonholonomic Systems
Zhang, Hongbin, Chen, Liqun, Gu, Shulong
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Abstract
A new conservation theorem of the nonholonomic systems is studied. The conserved quantity is onlyconstructed in terms of a general Lie group of transformation vector of the dynamical equations. Firstly, we establish thedynamical equations of the nonholonomic systems and the determining equations of Lie symmetry. Next, the theore mof non-Noether conserved quantity is deduced. Finally, we give an example to illustrate the application of the result.