Hojman Conserved Quantities for Birkhoffian Systems in Event Space
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摘要:
This paper focuses on studying a Hojman conserved quantity directly derived from a Lie symmetry for a Birkhoffian system in the event space.The Birkhoffian parametric equations for the system are established,and the determining equations of Lie symmetry for the system are obtained.The conditions under which a Lie symmetry of Birkhoffian system in the event space can directly lead up to a Hojman conserved quantity and the form of the Hojman conserved quantity are given.An example is given to illustrate the application of the results.