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Lie symmetry algebra of one-dimensional nonconservative dynamical systems |
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| Authors: | Liu Cui-Mei Wu Run-Heng Fu Jing-Li |
| Affiliation: | Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China; Department of Mathematics, Beijing Industrial University, Beijing 100080, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
| Abstract: | Lie symmetry algebra of linear nonconservative dynamical systems isstudied in this paper. By using 1--1 mapping, the Lie point and Liecontact symmetry algebras are obtained from two independentsolutions of the one-dimensional linear equations of motion. |
| Keywords: | Lie algebra symmetry infinitesimal transformation nonconserved dynamical system |
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