高维增广相空间中完整非保守力学系统积分不变量的构造

高维增广相空间中完整非保守力学系统积分不变量的构造

高维增

山东潍坊学院物理与电子科学系，山东潍坊261043

收稿日期:2005-10-29 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 高维增

The integral invariant construction of holonomic nonconservative dynamical systems in the highdimensional extended phase space

GAO Wei-zeng

Department of Physics, University of Weifang, Weifang 261043, Shandong, China

Received:2005-10-29 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: GAO Wei-zeng

摘要/Abstract

关键词: 增广相空间, 变分方程, 积分不变量 , 第一积分

Abstract: The variational equations are established for holonomic nonconservative dynamical systems in the highdimensional extended phase space. The canonical equations of systems and their variational equations are used to prove that an integral invariant can be directly constructed by the first integral of the systems. Finally one example is given.

Key words: integral invariant , first integral, variational equations, extended phase space

高维增 . 高维增广相空间中完整非保守力学系统积分不变量的构造[J]. J4, 2006, 41(5): 108-111 .

GAO Wei-zeng . The integral invariant construction of holonomic nonconservative dynamical systems in the highdimensional extended phase space[J]. J4, 2006, 41(5): 108-111 .

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