%0 Journal Article
%T Lie symmetries and conserved quantities of non-holonomic mechanical systems with unilateral Vacco constraints<br>Lie symmetries and conserved quantities of non—holonomic mechanical systems with unilateral Vacco constraints
%A Zhang Hong-Bin
%A <br>张宏彬
%J 中国物理 B
%D 2002
%I 
%X In this paper, we study the Lie symmetries and the conserved quantities of non-holonomic mechanical systems with unilateral Vacco constraints. We give the conditions and the form of conserved quantities due to the Lie symmetries of the systems, and present the inverse problem of the above problem, i.e. finding the corresponding Lie symmetry transformation according to a given integral of the system. Finally, we give an example to illustrate the application of the results.
%K non-holonomic mechanical systems with unilateral Vacco constraints
%K Lie symmetry
%K conserved quantity<br>非完整力学系统
%K 单向Vacco约束
%K 李对称
%K 守恒量
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=7975C8365627A14156A6785BE034D202&yid=C3ACC247184A22C1&vid=708DD6B15D2464E8&iid=CA4FD0336C81A37A&sid=CA4FD0336C81A37A&eid=E158A972A605785F&journal_id=1009-1963&journal_name=中国物理&referenced_num=5&reference_num=0