刘翠梅, 李彦敏, 傅景礼. 非保守动力系统的Lie对称性代数[J]. 云南大学学报(自然科学版), 2008, 30(4): 371-375,380.
引用本文: 刘翠梅, 李彦敏, 傅景礼. 非保守动力系统的Lie对称性代数[J]. 云南大学学报(自然科学版), 2008, 30(4): 371-375,380.
LIU Cui-mei, LI Yan-min, FU Jing-li. Lie symmetry algebraic of nonconservative dynamical systems[J]. Journal of Yunnan University: Natural Sciences Edition, 2008, 30(4): 371-375,380.
Citation: LIU Cui-mei, LI Yan-min, FU Jing-li. Lie symmetry algebraic of nonconservative dynamical systems[J]. Journal of Yunnan University: Natural Sciences Edition, 2008, 30(4): 371-375,380.

非保守动力系统的Lie对称性代数

Lie symmetry algebraic of nonconservative dynamical systems

  • 摘要: 研究非保守动力系统的Lie对称性代数.利用1-1影射的方法,从线性运动方程的2个解出发,给出了系统的Lie点对称性代数和Lie接触对称性代数.

     

    Abstract: Lie symmetry algebra of linear nonconservative dynamical systems is studied.By using 1-1 mapping,the Lie point and Lie contact symmetry algebras are obtained from two independent solutions of the linear equations of motion.

     

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