摘要
研究广义Chaplygin系统的形式不变性,利用广义Chaplygin方程在无限小变换下的变形形式,给出广义Chaplygin系统的形式不变性的定义和判据.给出了广义Chaplygin系统的Noether对称性判据,并研究形式不变性和Noether对称性的关系.结果表明形式不变性与Noether对称性是两种不同的对称性,广义Chaplygin方程的形式不变性有可能是Noether对称性,也可能不是Noether对称性.最后举例说明结果的应用.
The form invafiance of general Chaplygin system was studied. Using the infinitesimal transformations of general Chaplygin equation, the definition and criterion of the form invariance of general Chaplygin system were given. The criterion of Noether symmetry of general Chaplygin system was given, and the relation between the form invariance and the Noether symmetry was studied. The results show that the form invariance of general Chaplygin system isn＇ t identical with Noether symmetry. In some situation, the form invariance may be equal to the Noether symmetry, and in another instance they are different. One example was given to illustrate the application of the result.
出处
《动力学与控制学报》
2006年第3期217-220,共4页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(10272041)~~
