Lie symmetries, perturbation to symmetries and adiabatic invariants of Lagrange system
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Publication:2478763
DOI10.1016/j.physleta.2005.01.087zbMath1136.70321OpenAlexW2051203099MaRDI QIDQ2478763
Yan-Min Li, Xiangwei Chen, Yong-Hong Zhao
Publication date: 25 March 2008
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2005.01.087
Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Lagrange's equations (70H03)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Form invariance, Noether symmetry and Lie symmetry of Hamiltonian systems in phase space
- Adiabatic invariants for dynamical systems with one degree of freedom
- Non-Noether symmetries and conserved quantities of nonconservative dynamical systems
- Lie symmetries and conserved quantities of Birkhoffian system
- Perturbation of symmetries of rotational relativistic Birkhoffian systems and its inverse problem
- Conservation laws and reduction to quadratures of the generalized time-dependent Duffing equation
- Dynamical symmetries and conserved quantities
- Symmetry groups and similarity solutions of MHD equations
- SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems
- Direct integration of generalized Lie symmetries of nonlinear Hamiltonian systems with two degrees of freedom: integrability and separability
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic
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