Algebraic structure and Poisson's theory of mechanico-electrical systems

• 来源期刊: 中国物理（英文版）
• 关键词: algebraic structure Poisson integral method mechanico-electrical system
• 年，卷（期）: 2006,（8）
• 页码范围: 1653-1661
• 页数: 9页
• 语种: 英文

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.