A new type of adiabatic invariants for Birkhoffian system

Zhang Yi

doi:10.7498/aps.55.3833

Abstract
The perturbation of symmetries and adiabatic invariants for Birkhoffian system are studied. The exact invariants in the form of Hojman conserved quantities introduced by the Lie symmetries of Birkhoffian system without perturbations are given. Based on the definition of high-order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for Birkhoffian system under the action of small disturbance is investigated, and a new type of adiabatic invariants of the system are obtained. An example is given to illustrate the application of the results.

Keywords:
Birkhoffian system /

Lie symmetry /

perturbation /

adiabatic invariant
Authors and contacts
Zhang Yi

1.
苏州科技学院土木工程系，苏州 215011
References

Cited By

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[2]	Sun Xian-Ting, Zhang Yao-Yu, Zhang Fang, Jia Li-Qun. Conformal invariance and Hojman conserved quantity of Lie symmetry for Appell equations in a holonomic system. Acta Physica Sinica, 2014, 63(14): 140201. doi: 10.7498/aps.63.140201
[3]	Chen Ju, Zhang Yi. Perturbation to Noether symmetries and adiabatic invariants for Birkhoffian systems based on El-Nabulsi dynamical models. Acta Physica Sinica, 2014, 63(10): 104501. doi: 10.7498/aps.63.104501
[4]	Zhang Yi. Perturbation to Noether symmetries and adiabatic invariants for nonconservative dynamic systems. Acta Physica Sinica, 2013, 62(16): 164501. doi: 10.7498/aps.62.164501
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Vol. 55, Issue 8 - 2006-04-20

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