Invariant algebraic surfaces of the generalized Lorenz system (Q378065)
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scientific article; zbMATH DE number 6225185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant algebraic surfaces of the generalized Lorenz system |
scientific article; zbMATH DE number 6225185 |
Statements
Invariant algebraic surfaces of the generalized Lorenz system (English)
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11 November 2013
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Invariant algebraic surfaces of the generalized Lorenz system \[ x'=a(y-x),\;y'=bx+cy-xz,\;z'=xy+dz \] are found. The obtained results are not new (see [\textit{K. S. Wu} and \textit{X. Zhang}, Bull. Sci. Math. 136, No. 3, 291--308 (2012; Zbl 1246.34018)]) but are obtained in a more simple and straightforward way.
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Darboux polynomials
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invariant algebraic surface
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cofactor
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generalized Lorenz system
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