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非Hamilton的Birkhoff系统的Noether守恒量的计算

Calculations on noether conserved quantities of the Non-Hamiltonian Birkhoffian system
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摘要 利用辛几何的方法研究了非Hamilton的Birkhoff系统的Noether对称性与守恒量,揭示了非Hamilton的Birkhoff系统的Noether对称性与守恒量之间的关系,最后举例计算,为积分理论的研究提供了新的方法。 In this thesis, symplectic geometry is used to investigate the conserved quantities and symmetries of the Non-Hamiltonian Birkhoffian systems, hence the inner connection between the conserved quantities and the dynamical symmetries of the Non-Hamiltonian Birkhoffian system are revealed, at last,the corresponding Noether conserved quantities are deduced,which provides a new method to the study of integral theory.
出处 《齐齐哈尔大学学报(自然科学版)》 2013年第3期82-85,共4页 Journal of Qiqihar University(Natural Science Edition)
关键词 非Hamilton BIRKHOFF系统 Noether对称性与守恒量 辛几何 Non-Hamilton Birkhoffian system Noether' s symmetry and conserved quantity symplectic geometry
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参考文献6

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