中国物理B ›› 2004, Vol. 13 ›› Issue (11): 1784-1789.doi: 10.1088/1009-1963/13/11/002
傅景礼1, 陈立群2, 刘荣万3
Fu Jing-Li (傅景礼)ac, Chen Li-Qun (陈立群)bc, Liu Rong-Wan (刘荣万)cd
摘要: This paper focuses on studying non-Noether symmetries and conserved quantities of Lagrange mechano-electrical dynamical systems. Based on the relationships between the motion and Lagrangian, we present conservation laws on non-Noether symmetries for Lagrange mechano-electrical dynamical systems. A criterion is obtained on which non-Noether symmetry leads to Noether symmetry of the systems. The work also gives connections between the non-Noether symmetries and Lie point symmetries, and further obtains Lie invariants to form a complete set of non-Noether conserved quantity. Finally, an example is discussed to illustrate these results.
中图分类号: (General properties, structure, and representation of Lie groups)