A new type of non-Noether adiabatic invariants, i.e. adiabatic invariants of Lut zky type, for Lagrangian systems

Luo Shao-Kai

doi:10.7498/aps.56.5580

Abstract
The perturbation of Lie symmetries and new non-Noether adiabatic invariants for the Lagrangian system are studied. The exact invariants of Lutzky type arising f rom the Lie symmetries of Lagrangian system without perturbation are given. Base d on the definition of high-order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for Lagrangian system under the action of smal l disturbances is investigated, and a type of Lutzky adiabatic invariants of the system are obtained. An example is given to illustrate the application of the m ethod and results.

Keywords:
analytical mechanics /

Lagrangian system /

symmetry /

perturbation
Authors and contacts
Luo Shao-Kai

1.
浙江理工大学数学力学与数学物理研究所,杭州 310018;先进纺织材料与制备技术教育部重点实验室(浙江理工大学),杭州 310018
References

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Vol. 56, Issue 10 - 2007-05-20

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A new type of non-Noether adiabatic invariants, i.e. adiabatic invariants of Lut zky type, for Lagrangian systems

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A new type of non-Noether adiabatic invariants, i.e. adiabatic invariants of Lut zky type, for Lagrangian systems

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