Velocity-dependent symmetries and conserved quantities of the constrained dynamical systems
被引量：1
参考文献33
1 Noether A E 1918 Nachr. Akad. Wiss. Goett. II. Math.-Phys. Kl. 235.
2 Djukic Dj S and Vujanovic B 1975 Acta Mech. 23 17.
3 Vujanovic B 1978 Int. J. Non-linear Mech. 13 185.
4 Li Z P 1981 Ac$a Phys. Sin. 30 1599 (in Chinese).
5 Li Z P 1993 Classical and Quantum Dynamical Constraint Systems and Their Symmetric Properties (Beijing: Beijing Polytechnic University Press) (in Chinese).
6 Mei F X 1993 Chin. Sci. Series A 23 709 (in Chinese).
7 Sarlet W et al 1987 J. Phys. A: Math. Gen. 20 1365.
8 Lutzky M 1979 J. Phys. A: Math. Gen. 12 (7) 973.
9 Thompson G 1986 J. Phys, A: Math. Gen. 19 105.
10 Lakshmann M and Sahadevan R 1991 J. Math. Phys. 3235.
同被引文献11
1 罗绍凯,郭永新,梅凤翔.非完整系统的形式不变性与Hojman守恒量[J] .物理学报,2004,53(8):2413-2418. 被引量：26
2 方建会,王鹏,丁宁.相空间中力学系统的Lie-Mei对称性[J] .物理学报,2006,55(8):3821-3824. 被引量：8
3 顾书龙,张宏彬.Emden方程的Mei对称性、Lie对称性和Noether对称性[J] .物理学报,2006,55(11):5594-5597. 被引量：15
4 梅凤翔.包含伺服约束的非完整系统的Lie对称性与守恒量[J] .物理学报,2000,49(7):1207-1210. 被引量：24
5 乔永芬,赵淑红.准坐标下广义力学系统的Lie对称定理及其逆定理[J] .物理学报,2001,50(1):1-7. 被引量：30
6 罗绍凯,傅景礼,陈向炜.转动系统相对论性Birkhoff动力学的基本理论[J] .物理学报,2001,50(3):383-389. 被引量：41
7 乔永芬,张耀良,赵淑红.完整非保守系统Raitzin正则运动方程的积分因子和守恒定理[J] .物理学报,2002,51(8):1661-1665. 被引量：20
8 许志新.变质量完整力学系统的非Noether守恒量[J] .物理学报,2002,51(11):2423-2425. 被引量：25
9 梅凤翔.广义Hamilton系统的Lie对称性与守恒量[J] .物理学报,2003,52(5):1048-1050. 被引量：60
10 罗绍凯.Hamilton系统的Mei对称性、Noether对称性和Lie对称性[J] .物理学报,2003,52(12):2941-2944. 被引量：70
1 傅景礼,陈立群,谢凤萍.Lie symmetries and non-Noether conserved quantities for Hamiltonian canonical equations[J] .Chinese Physics B,2004,13(10):1611-1614. 被引量：3
2 MEI FengxiangDepartment of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China.Non-Noether conserved quantity for differential equations of motion in the phase space[J] .Chinese Science Bulletin,2002,47(24):2049-2050. 被引量：10
3 傅景礼,陈立群,白景华,杨晓东.Lie symmetries and conserved quantities ofcontrollable nonholonomic dynamical systems[J] .Chinese Physics B,2003,12(7):695-699. 被引量：5
4 FU JingLi,CHEN BenYong,FU Hao,ZHAO GangLing,LIU RongWan,ZHU ZhiYan.Velocity-dependent symmetries and non-Noether conserved quantities of electromechanical systems[J] .Science China(Physics,Mechanics & Astronomy),2011,54(2):288-295. 被引量：5
5 王性忠,付昊,傅景礼.Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems[J] .Chinese Physics B,2012,21(4):26-31.
6 刘鸿基,傅景礼,唐贻发.A series of non-Noether conservative quantities and Mei symmetries of nonconservative systems[J] .Chinese Physics B,2007,16(3):599-604. 被引量：2
7 罗绍凯.Form Invariance and Lie Symmetries of the Rotational Relativistic Birkhoff System[J] .Chinese Physics Letters,2002,19(4):449-451. 被引量：3
