A new type of conserved quantities for Birkhoffian systems

作者：Zhang Y^*; Fan CX; Ge WK

来源：Acta Physica Sinica, 2004, 53(11): 3644-3647.

• Birkhoffian system
• Mei symmetry
• conserved quantity
• Killing equation

This paper gives a new type of conserved quantities for Birkhoffian systems. First, the equations of motion of the systems are established, and the definitions and criterions of Mei symmetries are given. Next, an existence theorem for the new type of conserved quantities of the systems is given, and the generalized Killing equations used to determine the infinitesimal generators are deduced. Finally, the inverse theorem of the conservation law is established.

• 出版日期2004-11
• 单位湖州师范学院