中国物理B ›› 2001, Vol. 10 ›› Issue (3): 181-185.doi: 10.1088/1009-1963/10/3/302
姜丽妍1, 郭永新2, 于莹3
Guo Yong-xin (郭永新)a, Jiang Li-yan (姜丽妍)b, Yu Ying (于莹)c
摘要: The dynamical symmetries and adjoint symmetries of nonlinear nonholonomic constrained mechanical systems are analysed in two kinds of geometrical frameworks whose evolution equations are Routh's equations and generalized Chaplygin's equations, respectively. The Lagrangian inverse problem and the interrelation between Noether's symmetries and dynamical symmetries are briefly concerned with. Finally an illustrative example is analysed.
中图分类号: (Nonlinear and dynamical symmetries (spectrum-generating symmetries))