The discrete variational principle in Hamiltonian formalism and first integrals
被引量:4
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同被引文献10
1 FU JingLi1, CHEN LiQun2 & CHEN BenYong3 1 Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China,2 Department of Mechanics, Shanghai University, Shanghai 200072, China,3 Faculty of Mechanical-Engineering & Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China.Noether-type theorem for discrete nonconservative dynamical systems with nonregular lattices[J] .Science China(Physics,Mechanics & Astronomy),2010,53(3):545-554. 被引量:11
2 刘荣万,陈立群.Lie symmetries and invariants of constrained Hamiltonian systems[J] .Chinese Physics B,2004,13(10):1615-1619. 被引量:1
3 刘鸿基,唐贻发,傅景礼.Algebraic structure and Poisson's theory of mechanico-electrical systems[J] .Chinese Physics B,2006,15(8):1653-1661. 被引量:3
4 傅景礼,戴桂冬,萨尔瓦多·希梅尼斯,唐贻发.Discrete variational principle and first integrals for Lagrange-Maxwell mechanico-electrical systems[J] .Chinese Physics B,2007,16(3):570-577. 被引量:6
5 傅景礼,陈本永,谢凤萍.Noether symmetries of discrete mechanico-electrical systems[J] .Chinese Physics B,2008,17(12):4354-4360. 被引量:3
6 傅景礼,陈立群,陈本永.非规范格子离散非保守系统的Noether理论[J] .中国科学(G辑),2009,39(9):1320-1329. 被引量:5
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9 陈向炜,李彦敏.Perturbation to symmetries and adiabatic invariants of a type of nonholonomic singular system[J] .Chinese Physics B,2003,12(12):1349-1353. 被引量:6
10 方建会,陈培胜,张军,李红.相对论力学系统的形式不变性与Lie对称性[J] .物理学报,2003,52(12):2945-2948. 被引量:8
引证文献4
1 FU JingLi1,CHEN LiQun2 & CHEN BenYong3 1 Institute of Mathematical Physics,Zhejiang Sci-Tech University,Hangzhou 310018,China,2 Department of Mechanics,Shanghai University,Shanghai 200072,China,3 Faculty of Mechanical-Engineering & Automation,Zhejiang Sci-Tech University,Hangzhou 310018,China.Noether-type theory for discrete mechanico-electrical dynamical systems with nonregular lattices[J] .Science China(Physics,Mechanics & Astronomy),2010,53(9):1687-1698. 被引量:9
2 FU JingLi1,LI XiaoWei2,LI ChaoRong1,ZHAO WeiJia3 & CHEN BenYong4 1 Institute of Mathematical Physics,Zhejiang Sci-Tech University,Hangzhou 310018,China,2 Department of Physics,Shangqiu Normal University,Shangqiu 476000,China,3 Department of Mathematics,Qingdao University,Qingdao 266071,China,4 Faculty of Mechanical Engineering & Automation,Zhejiang Sci-Tech University,Hangzhou 310018,China.Symmetries and exact solutions of discrete nonconservative systems[J] .Science China(Physics,Mechanics & Astronomy),2010,53(9):1699-1706. 被引量:3
3 傅景礼,陈立群,陈本永.非规范格子离散非保守系统的Noether理论[J] .中国科学(G辑),2009,39(9):1320-1329. 被引量:5
4 傅景礼,陈立群,陈本永.非规范格子离散机电耦合动力系统的Noether理论[J] .中国科学:物理学、力学、天文学,2010,40(2):133-145. 被引量:4
二级引证文献16
1 傅景礼,陈立群,陈本永.非规范格子离散机电耦合动力系统的Noether理论[J] .中国科学:物理学、力学、天文学,2010,40(2):133-145. 被引量:4
2 张毅.非完整力学系统的Hamilton对称性[J] .中国科学:物理学、力学、天文学,2010,40(9):1130-1137. 被引量:5
3 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
4 ZHOU Sha,FU Hao,FU JingLi.Symmetry theories of Hamiltonian systems with fractional derivatives[J] .Science China(Physics,Mechanics & Astronomy),2011,54(10):1847-1853. 被引量:25
5 姜茂盛,赵维加,蔡春花.弹性杆Hamilton方程的四元数表示及其辛算法[J] .青岛大学学报(自然科学版),2012,25(1):23-28. 被引量:1
6 黄卫立,蔡建乐.Conformal invariance for nonholonomic system of Chetaev's type with variable mass[J] .Applied Mathematics and Mechanics(English Edition),2012,33(11):1393-1402.
7 黄卫立,蔡建乐.变质量Chetaev型非完整系统的共形不变性[J] .应用数学和力学,2012,33(11):1294-1303. 被引量:2
8 CAI PingPing,FU JingLi,GUO YongXin.Noether symmetries of the nonconservative and nonholonomic systems on time scales[J] .Science China(Physics,Mechanics & Astronomy),2013,56(5):1017-1028. 被引量:53
9 金世欣,张毅.相空间中含时滞的非保守力学系统的Noether定理[J] .中山大学学报(自然科学版),2014,53(4):56-61. 被引量:7
10 Ping-ping CAI,Duan SONG,Jing-li FU.Noether's Theorem of Nonholonomic Systems in Optimal Control[J] .Acta Mathematicae Applicatae Sinica,2016,32(4):875-882.
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