According to the generalized Routh's equations in Poincare-Chetaev variables proposed by Rumyantsev,the symmetries and the conserved quantities of the equations were studied by using the method of infinitesimal transformation.The exixtence condition and the form of the conserved quantities were obtained.This result is more general than the past corresponding conclusions for Poincare-Chetaev equations.Two examples were given to illustrate the application of the results.
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吴惠彬. Poincaré-Chetaev变量下广义Routh方程的对称性与守恒量[J].动力学与控制学报,2004,2(1):37~39; Wu Huibin. Symmetries and conserved quantities for generalized routh's equations in poincare-chetaev vabiables[J]. Journal of Dynamics and Control,2004,2(1):37-39.