Symmetry Breaking for a System of Two Linear Second-Order Ordinary Differential Equations
- Cite this article as:
- Wafo Soh, C. & Mahomed, F.M. Nonlinear Dynamics (2000) 22: 121. doi:10.1023/A:1008390431287
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A new canonical form for a system of two linear second-orderordinary differential equations (odes) is obtained. The latter isdecisive in unravelling symmetry structure of a system of two linearsecond-order odes. Namely we establish that the point symmetry Liealgebra of a system of two linear second-order odes can be5-, 6-, 7-, 8- or 15-dimensional. This result enhances both the richness andthe complexity of the symmetry structure of linear systems.