Perturbation to Lie symmetry and another type of Hojman adiabatic invariants for Birkhoffian systems

• 来源期刊: 中国物理B(英文版)
• 关键词: Lie symmetry perturbation Hojman adiabatic invariant Birkhoffian system
• 年，卷（期）: 2008,（6）
• 页码范围: 1967-1971
• 页数: 5页
• 语种: 英文

摘要

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.