摘要
The perturbation to Noether symmetry and adiabatic invariants for dynamical systems with nonstandard Lagrangians are studied.Based on two kinds of nonstandard Lagrangians(i.e.exponential Lagrangians and power-law Lagrangians),the exact invariants of Noether type are given.Based on the definition of highorder adiabatic invariants,the relationship between the perturbation of Noether symmetry and the adiabatic invariants of the system under a small disturbance is studied,and then the corresponding theorems of adiabatic invariants are established.Finally,two examples are given to illustrate the methods and results appear in this paper.
作者
WANG Xueping
ZHANG Yi
王雪萍;张毅(College of Mathematics and Physics,Suzhou University of Science and Technology,Suzhou 215009,China;College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,China)
基金
National Natural Science Foundations of China(Nos.11572212,11272227)
Innovation Program for Postgraduate of Suzhou University of Science and Technology,China(No.SKCX15_062)
