Based on the concept of adiabatic invariant, perturbation to Lie symmetry and Lutzky adiabatic invariants for Lagrange systems are studied by using different methods from those of previous works. Exact invariants induced from Lie symmetry of the system without perturbation are given. Perturbation to Lie symmetry is discussed and Lutzky adiabatic invariants of the system subject to perturbation are obtained.
机构:
Institute of Mathematical Mechanics and Mathematical Physics,Zhejiang Sci-Tech UniversityInstitute of Mathematical Mechanics and Mathematical Physics,Zhejiang Sci-Tech University
罗绍凯
蔡建乐
论文数: 0引用数: 0
h-index: 0
机构:
Department of Physics, Hangzhou Teachers CollegeInstitute of Mathematical Mechanics and Mathematical Physics,Zhejiang Sci-Tech University
机构:
Zhejiang Sci Tech Univ, Inst Math Mech & Math Phys, Hangzhou 310018, Peoples R ChinaZhejiang Sci Tech Univ, Inst Math Mech & Math Phys, Hangzhou 310018, Peoples R China
Luo Shao-Kai
Cai Jian-Le
论文数: 0引用数: 0
h-index: 0
机构:
Hangzhou Teachers Coll, Dept Phys, Hangzhou 310018, Peoples R ChinaZhejiang Sci Tech Univ, Inst Math Mech & Math Phys, Hangzhou 310018, Peoples R China
Cai Jian-Le
Jia Li-Qun
论文数: 0引用数: 0
h-index: 0
机构:
So Yangtze Univ, Sch Sci, Wuxi 214122, Peoples R ChinaZhejiang Sci Tech Univ, Inst Math Mech & Math Phys, Hangzhou 310018, Peoples R China
机构:
Zhejiang Sci Tech Univ, Inst Math Mech & Math Phys, Hangzhou 310018, Peoples R ChinaZhejiang Sci Tech Univ, Inst Math Mech & Math Phys, Hangzhou 310018, Peoples R China
机构:
Zhejiang Sci Tech Univ, Inst Math Mech & Math Phys, Hangzhou 310018, Peoples R ChinaZhejiang Sci Tech Univ, Inst Math Mech & Math Phys, Hangzhou 310018, Peoples R China