Algebraic structure and Poisson's theory of mechanico-electrical systems
Liu Hong-Ji(刘鸿基)a), Tang Yi-Fa(唐贻发)b), and Fu Jing-Li(傅景礼)c)d)†
a Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China; b State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences, Beijing 100080, China; c Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, Chinac Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China
Abstract The algebraic structure and Poisson's integral theory of mechanico-electrical systems are studied. The Hamilton canonical equations and generalized Hamilton canonical equations and their the contravariant algebraic forms for mechanico-electrical systems are obtained. The Lie algebraic structure and the Poisson's integral theory of Lagrange mechanico-electrical systems are derived. The Lie algebraic structure admitted and Poisson's integral theory of the Lagrange--Maxwell mechanico-electrical systems are presented. Two examples are presented to illustrate these results.
Received: 26 November 2005
Revised: 19 April 2006
Accepted manuscript online:
Fund: Project supported by the State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences and the National Natural Science Foundation of China (Grant Nos 10471145 and 10372053) and the Natural Science Foundation of Henan Provincial Government of China (Grant Nos 0311011400 and 0511022200).
Cite this article:
Liu Hong-Ji(刘鸿基), Tang Yi-Fa(唐贻发), and Fu Jing-Li(傅景礼) Algebraic structure and Poisson's theory of mechanico-electrical systems 2006 Chinese Physics 15 1653
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