Perturbation to Lie symmetry and another type of Hojman adiabatic invariants for Birkhoffian systems
Ding Ning(丁宁)a)†, Fang Jian-Hui(方建会)b), and Chen Xiang-Xia(陈相霞)c)
aDepartment of Physics and Electronics Science, Binzhou University, Binzhou 256603, China; bCollege of Physics Science and Technology, China University of Petroleum, Dongying 257061, China; c Dezhou University, Dezhou 253023, China
Abstract The perturbation to Lie symmetry and another type of Hojman adiabatic invariants induced from the perturbation to Lie symmetry for Birkhoffian systems are studied. The exact invariants of Lie symmetry for the system without perturbation are given. Based on the concept of adiabatic invariant, the perturbation to Lie symmetry is discussed and another new type of Hojman adiabatic invariants that have the different form from that in [Acta Phys. Sin.55 3833] for the perturbed system are obtained.
Received: 24 October 2007
Revised: 08 January 2008
Accepted manuscript online:
PACS:
45.20.Jj
(Lagrangian and Hamiltonian mechanics)
Fund: Project partially supported by the
Young Personnel Innovation Foundation of Binzhou University, China
(Grant No BZXYQNLG200715) and the Experimentation and Technology
Foundation of Binzhou
University, China (Grant No BZXYSYXM200702).
Cite this article:
Ding Ning(丁宁), Fang Jian-Hui(方建会), and Chen Xiang-Xia(陈相霞) Perturbation to Lie symmetry and another type of Hojman adiabatic invariants for Birkhoffian systems 2008 Chin. Phys. B 17 1967
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