|
|||||
|
|
| 一般动力学系统在相空间的Noether定理及其逆定理 | |
| 引用本文： | 张解放,蔡清. 一般动力学系统在相空间的Noether定理及其逆定理[J]. 鲁东大学学报, 1993, 0(1) |
| 作者姓名： | 张解放 蔡清 |
| 作者单位： | 浙江师范大学 金华(张解放)，浙江师范大学 金华(蔡清) |
| 摘 要： | 根据一般动力学系统在相空间的作用积分在无穷小群变换下的变换性质,分别建立起完整和非完整非保守系统的Noether定理和逆定理.由给出的例子表明,在相空间中可以呈现出动力学系统新的对称性. |
| 关 键 词： | 相空间 Noether定理 对称性 非完整约束 非保守系统 |
NOETHER''''S THEOREM AND ITS INVERSE ONE OF GENERAL DYNAMICAL SYSTEMS IN PHASE SPACE |
|
| Zhang Jiefang Cai Qing. NOETHER''''S THEOREM AND ITS INVERSE ONE OF GENERAL DYNAMICAL SYSTEMS IN PHASE SPACE[J]. Ludong University Journal (Natural Science Edition), 1993, 0(1) | |
| Authors: | Zhang Jiefang Cai Qing |
| Abstract: | Noether's theorem and its inverse one of holonomic and nonholonomic non-conservative sytems are presented, respectively, according to the transformation properties of active integral of general dynamical systems in phase space under the infinitesimal transformation. New symmetries of dynamical system are found in phase space. |
| Keywords: | phase space Noether's theorem symmetry nonholonomic constraint non-conservative systems |
| 本文献已被 CNKI 等数据库收录！ | |