Algebraic linearization criteria for systems of ordinary differential equations (Q437339)
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scientific article; zbMATH DE number 6057929
| Language | Label | Description | Also known as |
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| English | Algebraic linearization criteria for systems of ordinary differential equations |
scientific article; zbMATH DE number 6057929 |
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Algebraic linearization criteria for systems of ordinary differential equations (English)
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17 July 2012
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The authors give all possible algebras of dimension 4 connected with the linearization by general point transformation for a system of two second-order ODEs. These results complement and complete the work [\textit{C. W. Soh} and \textit{F. M. Mahomed}, Int. J. Non-Linear Mech. 36, No. 4, 671--677 (2001; Zbl 1345.34012)]. Complete algebraic linearization criteria for dimension four algebras are provided. Necessary and sufficient conditions for linearization via invertible maps of a nonlinear to a linear system are given. To illustrate the obtained results, examples from Newtonian mechanics are presented.
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linearization by point transformation
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four-dimentional Lie algebras
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system of ODEs
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