摘要
研究非保守力和非完整约束对Hamilton系统的Lie对称性和守恒量的影响 .分别研究了Hamilton系统受到非保守力和非完整约束作用时 ,系统的Lie对称性保持不变的条件 ,同时给出了系统的结构方程和守恒量保持不变的条件 .以著名的Emden方程和Appell
The effects of non-conservative forces and nonholonomic constraints on Lie symmetries and conserved quantities of a Hamiltonian system are studied. When non-conservative forces or nonholonomic constraints are inserted in the Hamiltonian system, we obtain the conditions under which Lie symmetries, structure equation and conserved quantities of the system will remain present. The famous Emden equation and Appell-Hamel model are taken as examples to illustrate the application of the results.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2003年第6期1326-1331,共6页
Acta Physica Sinica
基金
国家自然科学基金 (批准号 :19972 0 10 )
江苏省青蓝工程基金资助的课题~~
