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《Acta Physica Sinica》 2004-11
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A new type of conserved quantities for Birkhoffian systems

Zhang Yi 1) Fan Cun-Xin 1) Ge Wei_Kuan 2) 1)(Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, China) 2)(Department of Physics, Huzhou Teachers College, Huzhou 313000, China)  
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.
【Fund】: 江苏省青蓝工程基金;; 江苏省高等学校自然科学基金 (批准号 :0 1KJD13 0 0 0 2 )资助的课题~~
【CateGory Index】: O313
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