摘要
研究相空间中具有三阶线性单面约束的非完整系统的Lie对称性与守恒量。由微分方程在无限小变换下的不变性得到Lie对称性所满足的确定方程和限制方程,给出结构方程和守恒量,讨论了系统的Lie对称性逆问题,并举例说明结果的应用。
Lie symmetries and conserved quantities of third-order nonholonomic systems with unilateral constraint in phase space are studied. The determining equations and the restriction equations of the Lie symmetries of the systems are obtained, and the structural equations and the conserved quantities are given using the invariance of the ordinary differential equations under the infinitesimal transformations. The inverse problem of Lie symmetries of the systems is also studied, and an example is given to illustrate the application of the results.
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2004年第11期1030-1032,共3页
Transactions of Beijing Institute of Technology
基金
浙江省教育厅基金资助项目(20031116)
关键词
相空间
单面约束
非完整系统
LIE对称性
守恒量
phase space
unilateral constraint
nonholonomic system
Lie symmetry
conserved quantity
