A new type of non-noether adiabatic invariants for disturbed Lagrangian systems: adiabatic invariants of generalized lutzky type

作者：Luo Shao Kai^*

来源：Chinese Physics Letters, 2007, 24(9): 2463-2466.

For a Lagrangian system with the action of small disturbance, the Lie symmetrical petrubation and a new type of non-Noether adiabatic invariant are presented in general infinitesimal transformation groups. On the basis of the invariance of disturbed Lagrangian systems under general infinitestimal transformations, the determining equations of Lie symmetries of the system are constructed. Based on the definition of higher-order adiabatic invariants of a mechanical system, a new type of adiabatic invariant, i.e. generalized Lutzky adiabatic invariants, of a disturbed Lagrangian system are obtained by intestigating the peturbation of Lie symmetries for a Lagrangian system with the action of small disturbance. Finally, an example is given to illustrate the application of the method and results.

• 出版日期2007-9
• 单位浙江理工大学