摘要
利用3种近似对称性方法(近似Lie对称性法、近似Noether对称性法和近似Mei对称性法)研究典型微扰力学系统的一阶近似对称性和近似守恒量。结果表明,利用近似Lie对称性法找到的6个一阶近似对称性和近似守恒量与利用近似Noether对称性法找到的相同,而利用近似Mei对称性法只能找到其中5个一阶近似对称性和近似守恒量。
Three methods, which are approximate Lie symmetry method, approximate Noether symmetry method and approximate Mei symmetry method, are adopted to study the first order approximate symmetries and approximate conserved quantities of a typical perturbed mechanical system. Six identical first order approximate symmetries and approximate conserved quantities of the typical perturbed mechanical system are obtained by approximate Lie symmetry method and approximate Noether symmetry method, but only five of them can be obtained by approximate Mei symmetry method.
出处
《北京大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2016年第4期681-686,共6页
Acta Scientiarum Naturalium Universitatis Pekinensis
基金
国家自然科学基金(11472177)资助
