Contact symmetries of general linear second-order ordinary differential equations
- 11 September 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (13) , L455-L460
- https://doi.org/10.1088/0305-4470/16/13/003
Abstract
Using 1-1 mappings, the complete symmetry groups of contact transformations of general linear second-order ordinary differential equations are determined from two independent solutions of those equations, and applied to the harmonic oscillator with and without damping.Keywords
This publication has 3 references indexed in Scilit:
- Contact symmetries of the harmonic oscillatorJournal of Physics A: General Physics, 1983
- When Nonlinear Differential Equations are Equivalent to Linear Differential EquationsSIAM Journal on Applied Mathematics, 1982
- The Lie group of Newton's and Lagrange's equations for the harmonic oscillatorJournal of Physics A: General Physics, 1976