Small limit cycles bifurcating from fine focus points in quartic order \(Z_{3}\)-equivariant vector fields (Q2382724)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Small limit cycles bifurcating from fine focus points in quartic order \(Z_{3}\)-equivariant vector fields |
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Small limit cycles bifurcating from fine focus points in quartic order \(Z_{3}\)-equivariant vector fields (English)
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2 October 2007
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The paper concerns the number and localization of limit cycles bifurcating from fine focus points in a class of quartic order \(Z_3\)-equivariant vector fields. By computing the focal values, the authors construct the Poincaré succession function exactly and prove the existence of 16 small amplitude limit cycles. The process of the proof is algebraic and symbolic.
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Hilbert's 16th problem
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limit cycle
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Poincaré succession function
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