非保守动力系统的Lie对称性代数
Lie symmetry algebraic of nonconservative dynamical systems
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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.