摘要
研究相空间中离散完整系统Mei对称性摄动和绝热不变量。给出未受扰动系统Mei对称性导致的精确不变量,讨论在小扰动作用下系统Mei对称性的摄动,得到系统的Mei对称性摄动导致的绝热不变量。最后举例说明结果的应用。
This paper studies perturbation to Mei symmetry and adiabatic invariants for discrete holonomic systems in phase space.The exact invariants of Mei symmetry for systems without perturbation are given.The perturbation to Mei symmetry is discussed under the effect of small quantities.The adiabatic invariants induced from the perturbation to Mei symmetry of systems are obtained.Finally,an example is given to illustrate the application of the results.
出处
《苏州科技学院学报（自然科学版）》
CAS
2011年第2期19-23,共5页
Journal of Suzhou University of Science and Technology （Natural Science Edition）
基金
中央高校基本科研专项基金资助项目(09CX04018A)
关键词
相空间
离散完整系统
MEI对称性
摄动
绝热不变量
phase space
discrete holonomic systems
Mei symmetry
perturbation
adiabatic invariant
