Formal integral of a divergence-free system (Q1916574)
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scientific article; zbMATH DE number 898887
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formal integral of a divergence-free system |
scientific article; zbMATH DE number 898887 |
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Formal integral of a divergence-free system (English)
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26 November 1996
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A system of ordinary differential equations of \(n\)th order in the normal form is studied near a fixed point. It is supposed that it is divergence-free (it preserves the Euclidean volume), has a resonance of multiplicity \(m\) and has \(m- 2\) formal integrals in the form of power series. Then the system has an \((m- 1)\)st formal integral. Some of its properties are studied.
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formal integrals
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