中国物理B ›› 2006, Vol. 15 ›› Issue (8): 1653-1661.doi: 10.1088/1009-1963/15/8/001
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刘鸿基1, 傅景礼2, 唐贻发3
Liu Hong-Ji(刘鸿基)a), Tang Yi-Fa(唐贻发)b), and Fu Jing-Li(傅景礼)c)d)†
摘要: 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.
中图分类号: (Algebraic structures and number theory)