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Symmetry Breaking for a System of Two Linear Second-Order Ordinary Differential Equations

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Abstract

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.

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Authors and Affiliations

  1. Department of Computational & Applied Mathematics and, Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits, 2050, Johannesburg, South Africa

    C. Wafo Soh & F. M. Mahomed

Authors
  1. C. Wafo Soh
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  2. F. M. Mahomed
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Wafo Soh, C., Mahomed, F.M. Symmetry Breaking for a System of Two Linear Second-Order Ordinary Differential Equations. Nonlinear Dynamics 22, 121–133 (2000). https://doi.org/10.1023/A:1008390431287

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  • DOI: https://doi.org/10.1023/A:1008390431287

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