A new type of conserved quantities for Birkhoffian systems*

Zhang Yi; Fan Cun-Xin; Ge Wei-Kuan

doi:10.7498/aps.53.3644

Abstract
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 n ew 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.

Keywords:
Birkhoffian system /

Mei symmetry /

conserved quantity /

Killing equation
Authors and contacts
Zhang Yi²,

Fan Cun-Xin²,

Ge Wei-Kuan¹

(1)湖州师范学院物理系,湖州　313000; (2)苏州科技学院土木工程系,苏州　215011
References

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Vol. 53, Issue 11 - 2004-06-05

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A new type of conserved quantities for Birkhoffian systems*

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A new type of conserved quantities for Birkhoffian systems*

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