Infinitesimal symmetry transformations of some one-dimensional linear systems
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Publication:3344482
DOI10.1063/1.526142zbMath0551.34005OpenAlexW2058965637MaRDI QIDQ3344482
No author found.
Publication date: 1984
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526142
Dynamics of a system of particles, including celestial mechanics (70F99) Applications of Lie groups to the sciences; explicit representations (22E70) Linear ordinary differential equations and systems (34A30) Two-body problems (70F05)
Related Items
Lie algebras of classical and stochastic electrodynamics, Quantum kinematics of the harmonic oscillator, Infinitesimal symmetry transformations. II. Some one-dimensional nonlinear systems, Li(e)nearity, A group theoretical identification of integrable equations in the Liénard-type equation ẍ+f(x)ẋ+g(x)=. II. Equations having maximal Lie point symmetries, SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems. II. Realizations of the Lie algebra, THE LIE ALGEBRA sl(3, R) AND LINEARIZATION
Cites Work
- A generalization of Lie's 'counting' theorem for second-order ordinary differential equations
- Notes on the symmetries of systems of differential equations
- Realizations of Lie Algebras in Classical Mechanics
- Related integral theorem. II. A method for obtaining quadratic constants of the motion for conservative dynamical systems admitting symmetries
- Hamilton's Principle and the Conservation Theorems of Mathematical Physics
