Lie symmetry algebra of one-dimensional nonconservative dynamical systems
Liu Cui-Mei(刘翠梅)b), Wu Run-Heng(吴润衡)c), and Fu Jing-Li(傅景礼)a)d)†
a Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; b Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China; c Department of Mathematics, Beijing Industrial University, Beijing 100080, Chinad Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Abstract Lie symmetry algebra of linear nonconservative dynamical systems is studied in this paper. By using 1--1 mapping, the Lie point and Lie contact symmetry algebras are obtained from two independent solutions of the one-dimensional linear equations of motion.
Received: 13 January 2007
Revised: 12 March 2007
Accepted manuscript online:
Fund: Project supported by the
National Natural Science Foundation of China (Grant No 10672143)
and the Natural Science Foundation of Henan Province, China
(Grant Nos 0511022200 and 072300440220).
Cite this article:
Liu Cui-Mei(刘翠梅), Wu Run-Heng(吴润衡), and Fu Jing-Li(傅景礼) Lie symmetry algebra of one-dimensional nonconservative dynamical systems 2007 Chinese Physics 16 2665
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