苏州科技学院学报（自然科学版）2005，Vol.22Issue(2)：1-8,18,9.
非保守力和非完整约束对Hamilton系统Noether对称性的影响
Effects of Non-conservative Forces and Nonholonomic Constraints on Noether Symmetries of a Hamilton System
摘要
Abstract
The effects of non-conservative forces and nonholonomic constraints on Noether symmetries and conserved quantities of a Hamilton system are studied. When non-conservative forces or nonholonomic constraints are exerted on a Hamilton system,the Noether symmetries and the conserved quantities of the system may vary. It can be seen that some Noether symmetries disappear, some new Noether symmetries emerge, and under certain conditions some Noether symmetries will still remain. In this paper, the conditions under which the Noether symmetries and the conserved quantities of the system will remain are respectively obtained, and two examples are given to illustrate the application of the results.关键词
分析力学/Hamilton系统/非保守力/非完整约束/Noether对称性/守恒量Key words
analytical mechanics/Hamilton system/non-conservative force/nonholonomic constraint/Noether symmetry/conserved quantities分类
数理科学引用本文复制引用
张毅,陈甦..非保守力和非完整约束对Hamilton系统Noether对称性的影响[J].苏州科技学院学报（自然科学版）,2005,22(2):1-8,18,9.基金项目
江苏省高校自然科学基金项目(04KJA130135) （04KJA130135）
江苏省青蓝工程基金资助项目 （）
