Bifurcation of an equilibrium for a system of differential equations in the critical case of two pure imaginary and two zero roots of the characteristic equation. II (Q5951365)
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scientific article; zbMATH DE number 1685571
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcation of an equilibrium for a system of differential equations in the critical case of two pure imaginary and two zero roots of the characteristic equation. II |
scientific article; zbMATH DE number 1685571 |
Statements
Bifurcation of an equilibrium for a system of differential equations in the critical case of two pure imaginary and two zero roots of the characteristic equation. II (English)
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12 January 2003
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In this article, which is the continuation of another article [the author and \textit{Yu. N. Bibikov}, Differ. Equ. 36, No. 1, 30-38 (2000); translation from Differ. Uravn. 36, No. 1, 26-32 (2000; Zbl 0989.34030)], the author proves that for the considered highly degenerate bifurcation equations a bifurcation of one or two one-parameter families of two-dimensional tori occurs under certain conditions on the parameters.
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mode interaction
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Hopf bifurcation
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tori
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