The Economy of Complete Symmetry Groups for Linear Higher Dimensional Systems

K Andriopoulos, P G L Leach
2002 Journal of Nonlinear Mathematical Physics  
The complete symmetry groups of systems of linear second order ordinary differential equations are considered in the context of the simple harmonic oscillator. One finds that in general the representation of the complete symmetry group is not unique and in the particular case of a four-dimensional system there are two distinct complete symmetry groups. The results for general second order linear systems are indicated in the Conclusion.
doi:10.2991/jnmp.2002.9.s2.2 fatcat:zasm4apo4bc2hjhdcnve6pdcwy