Lie symmetry algebra of one-dimensional nonconservative dynamical systems
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[1] 楼智美. The Lagrangian and the Lie symmetries of charged particle motion in homogeneous electromagnetic field , 2006 .
[2] 陈向炜,et al. Lie symmetries, perturbation to symmetries and adiabatic invariants of Poincaré equations , 2006 .
[3] Qiao Yong-fen,et al. Hojman's conservation theorems for generalized Raitzin canonical equations of motion , 2005 .
[4] Mei Feng-xiang,et al. Form invariances and Lutzky conserved quantities for Lagrange systems , 2005 .
[5] Huang Hai-jun,et al. Canonical formulation of nonholonomic constrained systems , 2001 .
[6] Z. Yi,et al. Symmetries and conserved quantities for systems of generalized classical mechanics , 2000 .
[7] Keshlan S. Govinder,et al. An Elementary Demonstration of the Existence of sℓ(3, R) Symmetry for all Second-Order Linear Ordinary Differential Equations , 1998, SIAM Rev..
[8] Fazal M. Mahomed,et al. Lie algebras associated with scalar second-order ordinary differential equations , 1989 .
[9] M. Omote. Infinite‐dimensional symmetry algebras and an infinite number of conserved quantities of the (2+1)‐dimensional Davey–Stewartson equation , 1988 .
[10] M. Aguirre,et al. Some remarks on the Lie group of point transformations for the harmonic oscillator , 1987 .
[11] P. Kersten,et al. Contact symmetries of general linear second-order ordinary differential equations: letter to the editor , 1983 .
[12] F. Schwarz. Contact symmetries of the harmonic oscillator , 1983 .
[13] George W. BLUMANt. When Nonlinear Differential Equations are Equivalent to Linear Differential Equations , 1982 .
[14] P. Leach. The complete symmetry group of a forced harmonic oscillator , 1980, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.
[15] David Robinson,et al. Local Jet Bundle Formulation of Bäcklund Transformations , 1979 .
[16] P. Leach. On a Generalization of the Lewis Invariant for the Time-Dependent Harmonic Oscillator , 1978 .
[17] M. Lutzky. Symmetry groups and conserved quantities for the harmonic oscillator , 1978 .
[18] P. Leach. On a direct method for the determination of an exact invariant for the time-dependent harmonic oscillator , 1977, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.
[19] B. G. Wybourne,et al. The Lie group of Newton's and Lagrange's equations for the harmonic oscillator , 1976 .
[20] R. L. Anderson,et al. A generalization of Lie's “counting” theorem for second-order ordinary differential equations , 1974 .